WO2024174566A1 - Multi-vehicle-type timetable design method and system for intelligent bus system - Google Patents

Multi-vehicle-type timetable design method and system for intelligent bus system Download PDF

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WO2024174566A1
WO2024174566A1 PCT/CN2023/127740 CN2023127740W WO2024174566A1 WO 2024174566 A1 WO2024174566 A1 WO 2024174566A1 CN 2023127740 W CN2023127740 W CN 2023127740W WO 2024174566 A1 WO2024174566 A1 WO 2024174566A1
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timetable
vehicle
departure
station
bus
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PCT/CN2023/127740
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French (fr)
Chinese (zh)
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王晓伟
吴松屿
袁维
秦兆博
谢国涛
秦洪懋
秦晓辉
徐彪
丁荣军
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湖南大学无锡智能控制研究院
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/004Artificial life, i.e. computing arrangements simulating life
    • G06N3/006Artificial life, i.e. computing arrangements simulating life based on simulated virtual individual or collective life forms, e.g. social simulations or particle swarm optimisation [PSO]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06312Adjustment or analysis of established resource schedule, e.g. resource or task levelling, or dynamic rescheduling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06315Needs-based resource requirements planning or analysis
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
    • G06Q50/10Services
    • G06Q50/26Government or public services
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
    • G06Q50/40Business processes related to the transportation industry
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/04Constraint-based CAD
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/06Multi-objective optimisation, e.g. Pareto optimisation using simulated annealing [SA], ant colony algorithms or genetic algorithms [GA]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
    • Y02T10/10Internal combustion engine [ICE] based vehicles
    • Y02T10/40Engine management systems

Definitions

  • the present invention relates to the field of intelligent transportation technology, and in particular to a multi-vehicle timetable design method and system for an intelligent public transportation system.
  • the dispatching system can usually assign different types of vehicles to perform shift tasks to meet the time-varying passenger flow demand during the operation period, thereby matching the capacity supply with the service demand. Therefore, under a given line layout and resource allocation, a reasonable bus line departure schedule is the basis for the operation and subsequent dispatch of the autonomous bus system, and it plays a vital role in improving service satisfaction and reliability.
  • a patent document discloses a bus scheduling method and system based on genetic algorithms, which divides a day into six time periods, calculates and analyzes the line traffic volume, and obtains the initialization schedules of the line in different time periods; then, with the minimum average waiting time and the standard deviation of all waiting times as the goal, the genetic algorithm is used to optimize the schedule offset list under the condition of a certain departure schedule, and the final departure frequency and schedule for different time periods are obtained.
  • this patent technology only considers the departure schedule design problem in a single vehicle model operation scenario. This solution cannot be used for bus operation systems with two or more different vehicle models, and the consideration of the optimization target is relatively simple and the calculation is relatively simplified. Therefore, there are great limitations in actual application.
  • Another patent document discloses a method for optimizing bus departure time intervals based on a genetic algorithm, which takes the maximum vehicle load factor and the minimum passenger waiting time as optimization objectives, and converts the weighted sum of the two into a single objective, and then optimizes the departure time interval through a genetic algorithm, and then formulates a departure schedule plan based on the interval sequence.
  • this technology converts the two objectives into a single objective problem by weighted summation. In actual use, it is necessary to balance the two conflicting objectives by adjusting the weight coefficient. For complex and changeable actual scenarios, this adjustment process is cumbersome and time-consuming, which will affect the implementation of the plan. Only the departure interval is optimized, and the heterogeneity of the departure models is not considered.
  • this method designs a multi-model schedule in a two-stage manner, calculates the departure time and model in turn, and due to the large differences in the capacity level of vehicles of different models, the capacity of the shift model will directly affect its optimal departure time. Therefore, this technical solution has the problem of lack of optimality of the obtained solution, and there is still a large room for optimization in terms of optimality.
  • the present invention provides a multi-vehicle timetable design method and system for an intelligent public transportation system, which can formulate a multi-vehicle departure timetable for a single bus line based on established resource allocation and historical passenger flow data.
  • the present invention provides a multi-vehicle timetable design method for an intelligent public transportation system, which comprises:
  • Step 1 Set the route operation parameters and multi-model bus resource configuration according to the actual operation of the bus route
  • Step 2 read and process the historical operation data of the corresponding line for multiple days, and statistically analyze the passenger flow demand pattern and the vehicle travel time between stations within the corresponding operation period;
  • Step 3 construct a multi-objective optimization function for evaluating the generated multi-vehicle departure schedule scheme
  • Step 4 construct the constraint set of the multi-vehicle timetable
  • Step 5 Based on the multi-objective optimization function and the constraint condition set of the multi-vehicle timetable, a multi-objective optimization is used to The Pareto optimal solution set TT ps is obtained by using the algorithm;
  • Step 6 Select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure schedule plan.
  • the passenger flow demand rules in the operation cycle in step 2 include the passenger flow arrival rate ⁇ kf and the proportion of passengers getting off the bus ⁇ kf at each station.
  • Step 2 includes:
  • Step 22 traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings, and the travel time between stations in each characteristic time period;
  • Step 23 by dividing the accumulated number of boardings in the characteristic time period f by ⁇ , the passenger flow arrival rate of the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of the number of alightings by the number of departures on a single day, the average proportion of the number of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations on the line is obtained;
  • Step 24 traverse all the read daily operation data, repeat steps 22 and 23, average all the daily operation data over the number of days, and obtain the passenger flow arrival rate ⁇ kf , the proportion of passengers getting off the bus ⁇ kf and the inter-station travel time T k at each station in each characteristic time period f.
  • the multi-objective optimization function in step 3 includes the average waiting time Z AWT and the total operating cost Z TOC during the entire operation cycle.
  • Z AWT and Z TOC are calculated by the following formulas (1) and (7), respectively:
  • the characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It represents t mk / ⁇ rounded up; ⁇ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
  • NI is the total number of vehicle types
  • i is the vehicle type index
  • NTi is the vehicle type index in the departure schedule.
  • R is the total mileage of the route
  • Ci is the unit driving cost of vehicle type i.
  • the constraint condition set of step 4 includes the first and last bus departure time constraints, bus departure interval constraints, bus resource utilization constraints, available vehicle resource constraints and vehicle rated passenger capacity constraints.
  • step 6 specifically includes:
  • Step 61 sorting the timetable solutions in the Pareto optimal solution set TT ps obtained in step 5 in ascending order according to the objective function value Z AWT , and recording the number N of timetable solutions contained therein.
  • Step 62 taking the first solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on service quality TT-QoS, taking the last solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on operating cost TT-Cost, and taking the solution in the middle of TT ps as the timetable scheme with balanced service and cost TT-Eq;
  • Step 63 after marking the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the timetable solutions TT-QoS, TT-Cost and TT-Eq obtained in step 62, the solutions are output as optional timetable solutions.
  • the present invention also provides a multi-vehicle timetable design system for an intelligent public transportation system, which comprises:
  • Parameter configuration module which is used to set line operation parameters and multi-model bus resource configuration according to the actual operation of the bus line
  • a data reading module is used to read the historical operation data of the bus line from the database, which includes the arrival and departure times of all departures at each station on the line and the number of passengers getting on and off the bus in multiple single days;
  • Data analysis module which is used to statistically analyze the passenger flow demand pattern and vehicle travel time between stations within the corresponding operation cycle
  • the timetable generation module is used to construct a multi-objective optimization function for evaluating the generated multi-model departure timetable scheme and a set of constraints for the multi-model timetable, and to use a multi-objective optimization algorithm to solve and obtain a Pareto optimal solution set TT ps ;
  • the solution output module is used to select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure timetable solution.
  • the passenger flow demand rules in the operation cycle in the data analysis module include the passenger flow arrival rate ⁇ kf and the proportion of passengers getting off the bus ⁇ kf at each station.
  • the data analysis module includes:
  • the calculation unit is used to traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings and the number of stops in each characteristic time period.
  • Driving time by dividing the accumulated number of boardings in the characteristic time period f by ⁇ , the passenger arrival rate of the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of alightings by the number of departures on a single day, the average proportion of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained; finally, all single-day operation data are averaged over the number of days to obtain the passenger arrival rate ⁇ kf , the proportion of alighting passengers ⁇ kf and the travel time between stations T k at each station in each characteristic time period f.
  • the multi-objective optimization function in the timetable generation module includes the average waiting time Z AWT and the total operating cost Z TOC during the entire operation cycle.
  • Z AWT and Z TOC are calculated by the following formulas (1) and (7), respectively.
  • the constraint set includes the first and last bus departure time constraints, bus departure interval constraints, bus resource utilization constraints, available vehicle resource constraints, and vehicle rated passenger capacity constraints:
  • the characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It represents t mk / ⁇ rounded up; ⁇ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
  • NI is the total number of vehicle types
  • i is the vehicle type index
  • NTi is the number of trips of vehicle type i in the departure schedule plan
  • R is the total mileage of the line
  • Ci is the unit driving cost of vehicle type i.
  • the solution output module includes:
  • a sorting unit which is used to sort the timetable solutions in the Pareto optimal solution set TT ps obtained by the timetable generation module in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains;
  • a schedule screening unit configured to select the first solution in the Pareto optimal solution set TT ps as the schedule with service quality priority TT-QoS, select the last solution in the Pareto optimal solution set TT ps as the schedule with operation cost priority TT-Cost, and select the solution in the middle of TT ps as the schedule with service-cost balance TT-Eq;
  • the departure schedule plan generation unit is used to convert the schedule plan TT-QoS, TT-Cost and TT-Eq After marking the average waiting time of passengers, the calculated value of the total operating cost and the number of vehicles of each type required, they are output as an optional timetable solution.
  • the present invention has the following advantages due to the adoption of the above technical solution: In particular,
  • the bus departure schedule design is defined and optimized in the form of multi-objective optimization, which can obtain different schedule plans that balance the benefits of both passengers and bus operators, effectively reduce passenger travel time and bus operating costs, and improve the overall service level of the bus system;
  • this method can reduce unnecessary parameter settings and can be used by dispatchers in a user-friendly manner.
  • Bus dispatchers or computer systems can select the final implementation plan based on the actual needs and preferences of bus operations.
  • FIG. 1 is a flow chart of a method for designing a timetable for a multi-vehicle intelligent public transportation system according to an embodiment of the present invention.
  • FIG. 2 is a block diagram of a system for designing a timetable for a multi-vehicle intelligent public transportation system according to an embodiment of the present invention.
  • FIG. 3 is a schematic diagram of a coding method for a timetable solution of a multi-vehicle intelligent public transportation system in an embodiment of the present invention.
  • the method for designing a departure schedule for a multi-type intelligent public transportation system includes:
  • Step 1 Set the route operation parameters and multi-model bus resource configuration according to the actual operation of the bus route.
  • the line operation parameters include: the start and end time t0 and te of the line operation period, the type of operation day (weekday or holiday), the total mileage of the line R, the rest time between single trains Ts , the maximum departure interval Hmax , the minimum departure interval Hmin and the lower limit of the train utilization ⁇ .
  • Step 2 Read and process the historical operation data of the corresponding line for multiple days, and statistically analyze the passenger flow demand pattern and the vehicle travel time between stations during the corresponding operation cycle.
  • the historical operation data of the line includes: the arrival and departure times and the number of passengers getting on and off at each station of the line for all departure trips on multiple single days under the same operation day type.
  • step 2 includes:
  • t 0 and t e are the operation start time and end time of a single day
  • F is the characteristic time period set
  • N F is the total number of the divided characteristic time periods f.
  • Step 22 traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic period, and accumulate the number of boardings, the proportion of alightings, and the travel time between stations in each characteristic period.
  • j m represents the departure time of schedule m
  • i m represents the departure vehicle model index of schedule m.
  • Step 23 by dividing the accumulated number of boardings in the characteristic time period f by ⁇ , the passenger arrival rate at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of alightings by the number of departures on a single day, the average proportion of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained.
  • Step 24 traverse all the read daily operation data, repeat steps 22 and 23, average all the daily data over the number of days, and obtain the passenger flow arrival rate ⁇ kf , the proportion of passengers getting off the bus ⁇ kf and the inter-station travel time T k at each station in each characteristic time period f.
  • Step 24 averages the 10 single-day data to obtain the final data required by the method.
  • the above embodiment not only takes into account the arrival pattern of passengers, but also the proportion of passengers getting off at the station.
  • the operation cycle can also be divided into multiple time periods, and only the passenger flow in each time period is counted to implement step 2.
  • Step 3 Construct a multi-objective optimization function for evaluating the generated multi-vehicle departure schedule.
  • this embodiment uses the two as the multi-objective optimization function in step 3, thereby effectively weighing the benefits of both passengers and bus operators.
  • other factors can also be considered on this basis, such as the degree of congestion of the bus.
  • the following is an example of the average waiting time of passengers and the total operating cost in the entire operation cycle selected by the multi-objective optimization function.
  • the average passenger waiting time Z AWT is calculated by the following formula:
  • k and k′ are the indexes of the two stations respectively; N K is the number of stations; m is the trip index; N M is the total number of departure trips;
  • the characteristic period obtained from step 2 analysis The passenger arrival rate at inner station k;
  • the characteristic period obtained from step 2 analysis represents the rounding up of t mk / ⁇ ; ⁇ is the characteristic cycle length;
  • t mk is the estimated arrival time of bus m at station k,
  • t (m-1)k is the estimated arrival time of bus m-1 at station k, both of which are calculated by the following formula (2);
  • j m represents the departure time of bus m;
  • T k′ is the travel time from station (k′-1) to station k′;
  • L mk is the number of passengers stranded at station k due to capacity limitation of bus m
  • L (m-1)k is the number of passengers stranded at station k due to capacity limitation of bus m-1
  • L (m-1)k
  • equations (3) to (6) recursively model passenger travel behavior from two dimensions, m and station k, and then calculate the number of passengers left at the station under the passenger capacity limit. Considering the waiting time of such passengers can further guarantee the quality of bus service.
  • the total operating cost Z TOC is related to the number of departures of each type of vehicle and can be calculated using the following formula (7):
  • operating costs is not limited to the vehicle's driving costs, but also includes other vehicle-related unit distance maintenance, supporting facilities construction, average vehicle purchase costs and other related costs.
  • the embodiment of the present invention takes into account the design problem of bus departure times for various types of vehicles through steps 2 and 3. Therefore, the present invention is adaptable to different vehicle composition forms of the bus system, and by jointly optimizing the departure times and vehicle types of bus lines, the obtained timetable can be made closer to the global optimal solution.
  • Step 4 Construct a set of constraints for the multi-vehicle timetable to ensure the feasibility and rationality of the resulting timetable solution under the given settings and resource allocation. This includes but is not limited to the following constraints:
  • Constraint on shift resource utilization To avoid the phenomenon of oversupply of shift vehicles with a large number of empty seats during their entire service process, the maximum passenger capacity of each shift should be greater than the lower limit of the shift utilization set in step 1, that is,
  • Vehicle rated passenger capacity limit For driving safety reasons, it should be ensured that the number of passengers on a bus at any time does not exceed the rated passenger capacity determined by the vehicle model. This may result in all arriving passengers being unable to get on the bus and having to wait for subsequent buses.
  • Step 5 Use a multi-objective optimization algorithm to obtain the Pareto optimal solution set.
  • Pareto optimal solution set There is no solution that can achieve the optimal solution for all objectives at the same time in a multi-objective optimization problem, so only the Pareto optimal solution set PS can be obtained, which contains multiple feasible solutions that cannot be compared with each other. That is, for any solution s ⁇ PS, there is no solution s′ in the other solutions ⁇ PS ⁇ s ⁇ in the solution set that can make each of its objectives absolutely better than s.
  • step 5 Taking the non-dominated sorting genetic algorithm as an example, the specific implementation of step 5 is described, including the following steps:
  • Step 51 The computer randomly generates N s feasible timetable solutions TT p as initial parent solutions, satisfying the constraints described in step 4, and performs real number encoding on the initial parent solutions, as shown in FIG3 .
  • Step 52 Calculate two objective function values of each solution according to the method described in step 3, and perform non-dominant sorting of each solution according to the objective function values.
  • Step 53 Use the league selection method to select N s winning solutions, and change the timetable plan by inserting new shifts, canceling existing shifts, or reordering the vehicle model sequence within a certain period to obtain a new solution TT s .
  • Step 54 Combine TT p and TT s to obtain TT c , calculate two objective function values of each solution according to the method described in step 3, and perform non-dominant sorting on each solution according to the objective function values.
  • Step 55 According to the ranking level in step 54, the first Ns timetable solutions are selected as the next generation TT p , and the solutions with level 1 are recorded in TT ps .
  • Step 56 Repeat steps 53 to 55 until a final Pareto optimal solution set TT ps is output after a predetermined number of iterations.
  • the multi-objective optimization algorithm in step 5 is not limited to using the multi-objective genetic Algorithm, other evolution-based multi-objective optimization algorithms can also solve the model, such as the multi-objective particle swarm optimization algorithm.
  • the embodiment of the present invention balances the two types of objectives involving operators and passengers through step 5, so that solutions representing different benefit preferences can be obtained for the dispatcher to choose.
  • Step 6 Filter solutions representing different benefit preferences from the optimal solution set and generate corresponding departure schedule plans for selection by dispatchers or computer systems.
  • Step 61 sort the timetable solutions in the Pareto optimal solution set TT ps obtained in step 5 in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains.
  • Step 62 take the first solution in TT ps as the timetable scheme TT-QoS (Chinese full name "Timetable-Quality of Service First") with priority on service quality. Under the timetable scheme TT-QoS, the average waiting time of passengers is minimized. Take the last solution in TT ps as the timetable scheme TT-Cost (Chinese full name "Timetable-Operating Cost First") with priority on operating cost. Under the timetable scheme TT-Cost, the total operating cost is minimized.
  • TT-QoS Choinese full name "Timetable-Quality of Service First”
  • Step 63 after marking the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type of vehicle of the timetable solutions TT-QoS, TT-Cost and TT-Eq obtained in step 62, the corresponding departure timetable solution is output to facilitate the dispatcher or computer system to make subsequent decisions.
  • the output optional timetable method information structure is shown in the following table (taking three types of vehicles as an example):
  • steps 1 to 6 can be represented by FIG. 1 .
  • the departure times of bus routes and their corresponding bus models are integrated into the same framework for optimization calculation, and solved using a multi-objective optimization method to obtain a timetable solution representing different target preferences for bus dispatchers to choose from, thereby better balancing the benefits of both bus operators and passengers.
  • an embodiment of the present invention further provides a multi-vehicle timetable design system for an intelligent public transportation system.
  • the system can execute the above method.
  • the system includes a parameter configuration module, a data reading module, a data analysis module, a timetable generation module, and a solution output module, wherein:
  • the parameter configuration module is used to set line operation parameters and multi-model bus resource configuration according to the actual operation of the bus line.
  • the data reading module is used to read the historical operation data of the bus line from the database.
  • the data includes the arrival and departure times of all departure trips at each station on the line and the number of passengers getting on and off the bus in multiple single days.
  • the data analysis module is used to statistically analyze the passenger flow demand patterns and vehicle travel time between stations within the corresponding operating cycle.
  • the timetable generation module is used to construct a multi-objective optimization function for evaluating the generated multi-model departure timetable scheme and a set of constraints for the multi-model timetable, and uses a multi-objective optimization algorithm to solve and obtain the Pareto optimal solution set TT ps .
  • the solution output module is used to select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure timetable solution.
  • the passenger flow demand rules in the operation cycle in the data analysis module include the passenger flow arrival rate ⁇ kf and the proportion of passengers getting off the bus ⁇ kf at each station.
  • the data analysis module includes a time period division unit and a calculation unit, wherein:
  • the time period division unit is used to divide the entire operation cycle [t 0 ,t e ] into several time periods according to the characteristic period length ⁇ .
  • Feature time period f ⁇ F ⁇ 1,2,..., NF ⁇ ; where t0 and te are the start and end times of the operation on a single day, respectively, F is the feature time period set, and NF is the total number of feature time periods f divided.
  • the calculation unit is used to traverse each departure trip in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings and the travel time between stations in each characteristic time period; by dividing the accumulated number of boardings in the characteristic time period f by ⁇ , the passenger flow arrival rate of the station in the characteristic time period f of a single day is obtained; by dividing the accumulated proportion of alightings by the number of departure trips on a single day, the average proportion of alightings at the station in the characteristic time period f of a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained; finally, all the single-day operation data are averaged over the number of days to obtain the passenger flow arrival rate ⁇ kf , the proportion of alighting passengers ⁇ kf and the travel time between stations T k of each station in each characteristic time period f.
  • the multi-objective optimization function in the timetable generation module includes the average waiting time Z AWT of passengers and the total operating cost Z TOC in the entire operation cycle.
  • Z AWT and Z TOC are calculated by formula (1) and formula (7) respectively.
  • the constraint condition set includes the first and last bus departure time constraint, bus departure interval constraint, bus resource utilization constraint, available vehicle resource constraint and vehicle rated passenger capacity limit.
  • the plan output module includes a sorting unit, a schedule plan generating unit and a departure schedule plan generating unit, wherein:
  • the sorting unit is used to sort the timetable solutions in the Pareto optimal solution set TT ps obtained by the timetable generation module in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains.
  • the schedule screening unit is used to use the first solution in the Pareto optimal solution set TT ps as the schedule plan with service quality priority TT-QoS, use the last solution in the Pareto optimal solution set TT ps as the schedule plan with operation cost priority TT-Cost, and use the solution in the middle of TT ps as the schedule plan with service-cost balance TT-Eq.
  • the departure schedule plan generating unit is used to mark the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the schedule plans TT-QoS, TT-Cost and TT-Eq, and output them as optional schedule plans.

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Abstract

Disclosed in the present invention are a multi-vehicle-type timetable design method and system for an intelligent bus system. The method comprises: step 1, setting line operation parameters and multi-vehicle-type bus resource configurations according to the actual operation situation of bus lines; step 2, reading and processing historical operation data of a corresponding line in multiple days, and statistically analyzing the law of passenger flow demands and a travelling duration of a vehicle between stops within a corresponding operation period; step 3, constructing a multi-objective optimization function which is used for evaluating a generated multi-vehicle-type departure timetable scheme; step 4, constructing a constraint condition set for a multi-vehicle-type timetable; step 5, according to the multi-objective optimization function and the constraint condition set for the multi-vehicle-type timetable, performing calculation by using a multi-objective optimization algorithm, so as to obtain a Pareto optimal solution set; and step 6, performing screening on the Pareto optimal solution set, so as to select solutions representing different benefit preferences, and generating a corresponding departure timetable scheme. The present invention can formulate a multi-vehicle-type departure timetable for a single bus line on the basis of set resource configurations and historical passenger flow data.

Description

一种用于智能公交系统的多车型时刻表设计方法及系统A multi-type timetable design method and system for intelligent public transportation system 技术领域Technical Field
本发明涉及智能交通技术领域,特别是关于一种用于智能公交系统的多车型时刻表设计方法及系统。The present invention relates to the field of intelligent transportation technology, and in particular to a multi-vehicle timetable design method and system for an intelligent public transportation system.
背景技术Background Art
随着城市经济与技术的快速发展,智能网联车辆技术被逐步应用到城市公共交通系统中,为城市公交出行所面临的资源利用不充分、服务质量和成本投入不平衡等问题提供了新的解决思路。相较于传统公交系统,自动驾驶公交系统在降低能耗、提升运营效率及公交出行吸引力等方面具有更大的潜力,被认为是智慧城市建设中的重要一环。With the rapid development of urban economy and technology, intelligent connected vehicle technology has been gradually applied to urban public transportation systems, providing new solutions to the problems faced by urban public transportation, such as insufficient resource utilization, imbalance in service quality and cost input. Compared with traditional public transportation systems, autonomous driving public transportation systems have greater potential in reducing energy consumption, improving operational efficiency and public transportation attractiveness, and are considered an important part of smart city construction.
在现有自动驾驶公交运营场景中,调度系统通常可指派不同类型的车辆执行班次任务,以满足运营时段内时变的客流需求,进而实现运力供给与服务需求的匹配。因此,在给定线路布局及资源配置下,合理的公交线路发车时刻表是自动驾驶公交系统的运营及后续调度的基础,其在提升服务满意度和可靠性方面有着至关重要的作用。In the existing autonomous bus operation scenarios, the dispatching system can usually assign different types of vehicles to perform shift tasks to meet the time-varying passenger flow demand during the operation period, thereby matching the capacity supply with the service demand. Therefore, under a given line layout and resource allocation, a reasonable bus line departure schedule is the basis for the operation and subsequent dispatch of the autonomous bus system, and it plays a vital role in improving service satisfaction and reliability.
然而,传统的公交调度系统在发车时刻表设计环节通常采用固定的发车频率和单一的车型,少有的改进型方案也只是将发车时刻与车型划分为两阶段问题进行计算。这类时刻表设计方法在对时变客流的适应性、不同类型运力资源的合理利用以及不同出行参与者效益的权衡等方面存在一定不足,难以充分发挥自动驾驶公交系统在效率、灵活性、自主性上的优势。However, traditional bus dispatching systems usually use fixed departure frequencies and a single vehicle model in the design of departure schedules. The few improved solutions only divide the departure time and vehicle model into two-stage problems for calculation. This type of schedule design method has certain shortcomings in terms of adaptability to time-varying passenger flow, rational use of different types of transport resources, and trade-offs between the benefits of different travel participants. It is difficult to give full play to the advantages of autonomous driving bus systems in terms of efficiency, flexibility, and autonomy.
一专利文献公开了一种基于遗传算法的公交排班调度方法及系统,其将一天划分为六个时段,并对线路交通出行量进行计算及分析,得到线路不同时段的初始化班次;再以最小平均候车时间及所有候车时间标准差为目标,在发车班次一定的情况下,利用遗传算法对班次偏移列表进行优化,并得到最终的不同时段的发车频次和时刻表。但是,该专利技术仅考虑了单一车型运营场景下的发车时刻表设计问题,该方案无法用于拥有两种及以上不同车型的公交运营系统,且对优化目标的考虑较为单一、计算较为简化。因此,在实际应用过程中存在较大的局限性。 A patent document discloses a bus scheduling method and system based on genetic algorithms, which divides a day into six time periods, calculates and analyzes the line traffic volume, and obtains the initialization schedules of the line in different time periods; then, with the minimum average waiting time and the standard deviation of all waiting times as the goal, the genetic algorithm is used to optimize the schedule offset list under the condition of a certain departure schedule, and the final departure frequency and schedule for different time periods are obtained. However, this patent technology only considers the departure schedule design problem in a single vehicle model operation scenario. This solution cannot be used for bus operation systems with two or more different vehicle models, and the consideration of the optimization target is relatively simple and the calculation is relatively simplified. Therefore, there are great limitations in actual application.
另一专利文献公开了一种基于遗传算法的公交发车时间间隔优化方法,其以车辆满载率最大和乘客等待时间最小为优化目标,并将二者加权求和转化为单目标,再通过遗传算法优化发车时间间隔,进而根据间隔序列制定出发车时刻表方案。但是,该技术将两个目标通过加权求和的方式转换为单目标问题求解,实际使用时需要通过调整权重系数来权衡两个冲突的目标,而对于复杂多变的实际场景而言该调整过程是繁琐且耗时的,将对方案的实施产生影响。仅对发车间隔优化,并未考虑发车车型的异质性。Another patent document discloses a method for optimizing bus departure time intervals based on a genetic algorithm, which takes the maximum vehicle load factor and the minimum passenger waiting time as optimization objectives, and converts the weighted sum of the two into a single objective, and then optimizes the departure time interval through a genetic algorithm, and then formulates a departure schedule plan based on the interval sequence. However, this technology converts the two objectives into a single objective problem by weighted summation. In actual use, it is necessary to balance the two conflicting objectives by adjusting the weight coefficient. For complex and changeable actual scenarios, this adjustment process is cumbersome and time-consuming, which will affect the implementation of the plan. Only the departure interval is optimized, and the heterogeneity of the departure models is not considered.
现有技术中还有一种多车型发车时刻表两阶段设计方法,其是将公交线路班次发车时刻与车型作为两个阶段的决策问题。第一阶段先以最大断面客流量及所有车型额定载客量的平均值为依据确定每个时段内的发车频次,并以均匀间隔的方式确定班次发车时刻序列;第二阶段则基于元启发式算法优化与发车时刻序列对应的发车车型序列。最终得到整个运营周期内的多车型发车时刻表。该设计方法在对不同车型的处理上,仅考虑车型平均载客量来确定发车频次,而忽略不同车型在行驶成本和可用车辆数量的影响,因此在计算上存在局限性,无法保证所得时刻表方案的实际性能。此外,该方法以两阶段方式设计多车型时刻表,依次计算发车时刻和车型,而由于不同车型车辆在运力水平上存在较大差异,班次车型的容量将直接影响其最优的发车时刻。因此,该技术方案存在所得方案最优性缺失的问题,在最优性上仍有较大优化空间。There is also a two-stage design method for multi-model departure schedule in the prior art, which takes the departure time and model of the bus route as a two-stage decision-making problem. In the first stage, the departure frequency in each period is determined based on the average value of the maximum cross-sectional passenger flow and the rated passenger capacity of all models, and the departure time sequence of the shift is determined in a uniformly spaced manner; in the second stage, the departure model sequence corresponding to the departure time sequence is optimized based on the meta-heuristic algorithm. Finally, a multi-model departure schedule for the entire operation cycle is obtained. In the treatment of different models, this design method only considers the average passenger capacity of the model to determine the departure frequency, while ignoring the influence of different models on driving costs and the number of available vehicles. Therefore, there are limitations in calculation and the actual performance of the obtained schedule scheme cannot be guaranteed. In addition, this method designs a multi-model schedule in a two-stage manner, calculates the departure time and model in turn, and due to the large differences in the capacity level of vehicles of different models, the capacity of the shift model will directly affect its optimal departure time. Therefore, this technical solution has the problem of lack of optimality of the obtained solution, and there is still a large room for optimization in terms of optimality.
发明内容Summary of the invention
鉴于上述现有技术的不足,本发明提供一种用于智能公交系统的多车型时刻表设计方法及系统,其能够基于既定资源配置和历史客流数据制定出单一公交线路的多车型发车时刻表。In view of the above-mentioned deficiencies in the prior art, the present invention provides a multi-vehicle timetable design method and system for an intelligent public transportation system, which can formulate a multi-vehicle departure timetable for a single bus line based on established resource allocation and historical passenger flow data.
为实现上述目的,本发明提供一种用于智能公交系统的多车型时刻表设计方法,其包括:To achieve the above object, the present invention provides a multi-vehicle timetable design method for an intelligent public transportation system, which comprises:
步骤1,根据公交线路实际运营情况,设置线路运营参数及多车型公交资源配置;Step 1: Set the route operation parameters and multi-model bus resource configuration according to the actual operation of the bus route;
步骤2,读取并处理对应线路多天的历史运营数据,统计分析对应运营周期内的客流需求规律及车辆站间行驶时长;Step 2: read and process the historical operation data of the corresponding line for multiple days, and statistically analyze the passenger flow demand pattern and the vehicle travel time between stations within the corresponding operation period;
步骤3,构建用于评估生成的多车型发车时刻表方案的多目标优化函数;Step 3, construct a multi-objective optimization function for evaluating the generated multi-vehicle departure schedule scheme;
步骤4,构建多车型时刻表的约束条件集;Step 4, construct the constraint set of the multi-vehicle timetable;
步骤5,根据多目标优化函数和多车型时刻表的约束条件集,采用多目标优 化算法求解得到Pareto最优解集TTpsStep 5: Based on the multi-objective optimization function and the constraint condition set of the multi-vehicle timetable, a multi-objective optimization is used to The Pareto optimal solution set TT ps is obtained by using the algorithm;
步骤6,从Pareto最优解集TTps中筛选代表不同效益偏好的解,生成对应的发车时刻表方案。Step 6: Select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure schedule plan.
进一步地,步骤2中的运营周期内的客流需求规律包括各站点的客流到达率αkf和下车乘客占比ρkf,步骤2包括:Furthermore, the passenger flow demand rules in the operation cycle in step 2 include the passenger flow arrival rate α kf and the proportion of passengers getting off the bus ρ kf at each station. Step 2 includes:
步骤21,将整个运营周期[t0,te]按照特征周期长度τ划分为若干个特征时段f∈F={1,2,…,NF};其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目;Step 21, divide the entire operation cycle [t 0 ,t e ] into a number of characteristic time periods f∈F={1,2,…, NF } according to the characteristic cycle length τ; where t 0 and t e are the start and end times of the operation of a single day, respectively, F is the characteristic time period set, and NF is the total number of the divided characteristic time periods f;
步骤22,遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间行驶时长;Step 22, traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings, and the travel time between stations in each characteristic time period;
步骤23,通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长;Step 23, by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger flow arrival rate of the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of the number of alightings by the number of departures on a single day, the average proportion of the number of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations on the line is obtained;
步骤24,遍历读取到的所有单日运营数据,重复步骤22及步骤23,将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkStep 24, traverse all the read daily operation data, repeat steps 22 and 23, average all the daily operation data over the number of days, and obtain the passenger flow arrival rate α kf , the proportion of passengers getting off the bus ρ kf and the inter-station travel time T k at each station in each characteristic time period f.
进一步地,步骤3中多目标优化函数包括整个运营周期内的乘客平均等待时间ZAWT和总运营成本ZTOC,ZAWT、ZTOC分别由如下公式(1)、式(7)计算得到:
Furthermore, the multi-objective optimization function in step 3 includes the average waiting time Z AWT and the total operating cost Z TOC during the entire operation cycle. Z AWT and Z TOC are calculated by the following formulas (1) and (7), respectively:
式中,k为站点的索引;NK为站点数目;m为班次索引;NM为发车班次总数目;为步骤2分析得到的特征时段内站点k的客流到达率;αk[f]为步骤2分析得到的特征时段f内站点k的客流到达率;表示对tmk/τ向上取整;τ为特征周期长度;tmk为班次m预计到达站点k的时间,t(m-1)k为班次m-1次预计到达站点k的时间;
In the formula, k is the index of the station; N K is the number of stations; m is the shift index; N M is the total number of departure shifts; The characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It represents t mk /τ rounded up; τ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
式中,NI为车辆类型总数,i为车辆类型索引,NTi为发车时刻表方案中车 辆类型i的班次数量,R为线路总行驶里程;Ci为车辆类型i的单位行驶成本。Where, NI is the total number of vehicle types, i is the vehicle type index, and NTi is the vehicle type index in the departure schedule. is the number of trips for vehicle type i, R is the total mileage of the route; Ci is the unit driving cost of vehicle type i.
进一步地,步骤4的约束条件集包括首末班次发车时刻约束、班次发车间隔约束、班次资源利用率约束、可用车辆资源约束和车辆额定载客量限制。Furthermore, the constraint condition set of step 4 includes the first and last bus departure time constraints, bus departure interval constraints, bus resource utilization constraints, available vehicle resource constraints and vehicle rated passenger capacity constraints.
进一步地,步骤6具体包括:Furthermore, step 6 specifically includes:
步骤61,将步骤5得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,并记录其包含的时刻表方案数目N。Step 61, sorting the timetable solutions in the Pareto optimal solution set TT ps obtained in step 5 in ascending order according to the objective function value Z AWT , and recording the number N of timetable solutions contained therein.
步骤62,将Pareto最优解集TTps中的首个解作为服务质量优先的时刻表方案TT-QoS,将Pareto最优解集TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost,将位于TTps中间的解作为服务-成本均衡的时刻表方案TT-Eq;Step 62, taking the first solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on service quality TT-QoS, taking the last solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on operating cost TT-Cost, and taking the solution in the middle of TT ps as the timetable scheme with balanced service and cost TT-Eq;
步骤63,将步骤62获得的时刻表方案TT-QoS、TT-Cost和TT-Eq均标记乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,作为可选的时刻表方案输出。Step 63, after marking the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the timetable solutions TT-QoS, TT-Cost and TT-Eq obtained in step 62, the solutions are output as optional timetable solutions.
本发明还提供一种用于智能公交系统的多车型时刻表设计系统,其包括:The present invention also provides a multi-vehicle timetable design system for an intelligent public transportation system, which comprises:
参数配置模块,其用于根据公交线路实际运营情况,设置线路运营参数及多车型公交资源配置;Parameter configuration module, which is used to set line operation parameters and multi-model bus resource configuration according to the actual operation of the bus line;
数据读取模块,其用于向数据库读取公交线路的历史运营数据,该数据包括多个单日内的所有发车班次在线路各站点的到离站时刻、上下车乘客数目;A data reading module is used to read the historical operation data of the bus line from the database, which includes the arrival and departure times of all departures at each station on the line and the number of passengers getting on and off the bus in multiple single days;
数据分析模块,其用于统计分析对应运营周期内的客流需求规律及车辆站间行驶时长;Data analysis module, which is used to statistically analyze the passenger flow demand pattern and vehicle travel time between stations within the corresponding operation cycle;
时刻表生成模块,其用于构建用于评估生成的多车型发车时刻表方案的多目标优化函数及多车型时刻表的约束条件集,并采用多目标优化算法求解得到Pareto最优解集TTpsThe timetable generation module is used to construct a multi-objective optimization function for evaluating the generated multi-model departure timetable scheme and a set of constraints for the multi-model timetable, and to use a multi-objective optimization algorithm to solve and obtain a Pareto optimal solution set TT ps ;
方案输出模块,其用于从Pareto最优解集TTps中筛选代表不同效益偏好的解,生成对应的发车时刻表方案。The solution output module is used to select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure timetable solution.
进一步地,数据分析模块中的运营周期内的客流需求规律包括各站点的客流到达率αkf、下车乘客占比ρkf,数据分析模块包括:Furthermore, the passenger flow demand rules in the operation cycle in the data analysis module include the passenger flow arrival rate α kf and the proportion of passengers getting off the bus ρ kf at each station. The data analysis module includes:
时段划分单元,其用于将整个运营周期[t0,te]按照特征周期长度τ划分为若干个特征时段f∈F={1,2,…,NF};其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目;The time period division unit is used to divide the entire operation cycle [t 0 ,t e ] into a number of characteristic time periods f∈F={1,2,…, NF } according to the characteristic cycle length τ; wherein t 0 and t e are the operation start time and end time of a single day, respectively, F is the characteristic time period set, and NF is the total number of the divided characteristic time periods f;
计算单元,其用于遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间 行驶时长;通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长;最后将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkThe calculation unit is used to traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings and the number of stops in each characteristic time period. Driving time; by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger arrival rate of the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of alightings by the number of departures on a single day, the average proportion of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained; finally, all single-day operation data are averaged over the number of days to obtain the passenger arrival rate α kf , the proportion of alighting passengers ρ kf and the travel time between stations T k at each station in each characteristic time period f.
进一步地,时刻表生成模块中多目标优化函数包括整个运营周期内的乘客平均等待时间ZAWT和总运营成本ZTOC,ZAWT、ZTOC分别由如下公式(1)、式(7)计算得到,约束条件集包括首末班次发车时刻约束、班次发车间隔约束、班次资源利用率约束、可用车辆资源约束和车辆额定载客量限制:
Furthermore, the multi-objective optimization function in the timetable generation module includes the average waiting time Z AWT and the total operating cost Z TOC during the entire operation cycle. Z AWT and Z TOC are calculated by the following formulas (1) and (7), respectively. The constraint set includes the first and last bus departure time constraints, bus departure interval constraints, bus resource utilization constraints, available vehicle resource constraints, and vehicle rated passenger capacity constraints:
式中,k为站点的索引;NK为站点数目;m为班次索引;NM为发车班次总数目;为步骤2分析得到的特征时段内站点k的客流到达率;αk[f]为步骤2分析得到的特征时段f内站点k的客流到达率;表示对tmk/τ向上取整;τ为特征周期长度;tmk为班次m预计到达站点k的时间,t(m-1)k为班次m-1次预计到达站点k的时间;
In the formula, k is the index of the station; N K is the number of stations; m is the shift index; N M is the total number of departure shifts; The characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It represents t mk /τ rounded up; τ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
式中,NI为车辆类型总数,i为车辆类型索引,NTi为发车时刻表方案中车辆类型i的班次数量,R为线路总行驶里程;Ci为车辆类型i的单位行驶成本。Where, NI is the total number of vehicle types, i is the vehicle type index, NTi is the number of trips of vehicle type i in the departure schedule plan, R is the total mileage of the line; Ci is the unit driving cost of vehicle type i.
进一步地,方案输出模块包括:Furthermore, the solution output module includes:
排序单元,其用于将时刻表生成模块得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,更新TTps并记录其包含的时刻表方案数目N;A sorting unit, which is used to sort the timetable solutions in the Pareto optimal solution set TT ps obtained by the timetable generation module in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains;
时刻表方案筛选单元,其用于将Pareto最优解集TTps中的首个解作为服务质量优先的时刻表方案TT-QoS,将Pareto最优解集TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost,将位于TTps中间的解作为服务-成本均衡的时刻表方案TT-Eq;a schedule screening unit, configured to select the first solution in the Pareto optimal solution set TT ps as the schedule with service quality priority TT-QoS, select the last solution in the Pareto optimal solution set TT ps as the schedule with operation cost priority TT-Cost, and select the solution in the middle of TT ps as the schedule with service-cost balance TT-Eq;
发车时刻表方案生成单元,其用于将时刻表方案TT-QoS、TT-Cost和TT-Eq 均标记乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,作为可选的时刻表方案输出。The departure schedule plan generation unit is used to convert the schedule plan TT-QoS, TT-Cost and TT-Eq After marking the average waiting time of passengers, the calculated value of the total operating cost and the number of vehicles of each type required, they are output as an optional timetable solution.
本发明由于采取以上技术方案,其具有以下优点:特别地,The present invention has the following advantages due to the adoption of the above technical solution: In particular,
本发明的有益效果在于以下方面:The beneficial effects of the present invention are as follows:
1)将公交线路的班次发车时刻及车型融合到同一框架中进行优化计算,可更好地实现公交运力资源与时变客流需求的匹配,在资源利用率、均衡度及服务质量上都优于现有的两阶段计算方法;1) Integrating the bus route departure times and vehicle types into the same framework for optimization calculation can better match bus capacity resources with time-varying passenger flow demand, which is superior to the existing two-stage calculation method in terms of resource utilization, balance and service quality;
2)将公交发车时刻表设计以多目标优化的形式进行定义和优化求解,可得到权衡出行乘客及公交运营商双方效益的不同时刻表方案,有效降低乘客出行时间和公交运营成本,提升公交系统的整体服务水平;2) The bus departure schedule design is defined and optimized in the form of multi-objective optimization, which can obtain different schedule plans that balance the benefits of both passengers and bus operators, effectively reduce passenger travel time and bus operating costs, and improve the overall service level of the bus system;
3)相较于一般公交排班方法将多个优化目标通过比例放缩和加权求和转换为单目标问题的方式,本方法可减少不必要的参数设置,并且能够以用户友好的方式供调度人员使用,公交调度员或计算机系统可根据公交运营实际需求偏好来选择最终的执行方案。3) Compared with the general bus scheduling method that converts multiple optimization objectives into a single objective problem through scaling and weighted summation, this method can reduce unnecessary parameter settings and can be used by dispatchers in a user-friendly manner. Bus dispatchers or computer systems can select the final implementation plan based on the actual needs and preferences of bus operations.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明实施例中多车型智能公交系统时刻表设计方法的流程图。FIG. 1 is a flow chart of a method for designing a timetable for a multi-vehicle intelligent public transportation system according to an embodiment of the present invention.
图2为本发明实施例中多车型智能公交系统时刻表设计系统的框图。FIG. 2 is a block diagram of a system for designing a timetable for a multi-vehicle intelligent public transportation system according to an embodiment of the present invention.
图3为本发明实施例中多车型智能公交系统时刻表方案的编码方式示意图。FIG. 3 is a schematic diagram of a coding method for a timetable solution of a multi-vehicle intelligent public transportation system in an embodiment of the present invention.
具体实施方式DETAILED DESCRIPTION
下面结合附图和实施例对本发明进行详细的描述。The present invention is described in detail below with reference to the accompanying drawings and embodiments.
如图1所示,本发明实施例提供的用于多车型智能公交系统的发车时刻表设计方法包括:As shown in FIG1 , the method for designing a departure schedule for a multi-type intelligent public transportation system provided by an embodiment of the present invention includes:
步骤1,根据公交线路实际运营情况,设置线路运营参数及多车型公交资源配置。Step 1: Set the route operation parameters and multi-model bus resource configuration according to the actual operation of the bus route.
线路运营参数包括:线路运营时段的起止时间t0和te、运营日类型(工作日或节假日)、线路总行驶里程R、单车班次间休整时长Ts、最大发车间隔时长Hmax、最小班次发车间隔时长Hmin和班次利用率下限ε。The line operation parameters include: the start and end time t0 and te of the line operation period, the type of operation day (weekday or holiday), the total mileage of the line R, the rest time between single trains Ts , the maximum departure interval Hmax , the minimum departure interval Hmin and the lower limit of the train utilization ε.
多车型公交资源配置包括:线路运营可发车的所有车型i,i∈I={1,2,…,NI}、以及各车型车辆对应的额定载客量Si、单位行驶成本Ci和可使用的车辆数量ViThe multi-model bus resource configuration includes: all models i, i∈I={1,2,…, NI } that can be dispatched for line operation, as well as the rated passenger capacity Si , unit travel cost Ci and available number of vehicles Vi corresponding to each model.
步骤2,读取并处理对应线路多天的历史运营数据,统计分析对应运营周期内的客流需求规律及车辆站间行驶时长。 Step 2: Read and process the historical operation data of the corresponding line for multiple days, and statistically analyze the passenger flow demand pattern and the vehicle travel time between stations during the corresponding operation cycle.
线路历史运营数据包括:同一运营日类型下的多个单日内的所有发车班次在线路各站点的到离站时刻及上下车乘客数目。其中,k表示站点的索引,k∈K={1,2,…,NK}。The historical operation data of the line includes: the arrival and departure times and the number of passengers getting on and off at each station of the line for all departure trips on multiple single days under the same operation day type. Where k represents the index of the station, k∈K={1,2,…, NK }.
单日历史运营数据结构如下表所示(举例):
The structure of a single-day historical operation data is shown in the following table (example):
在一个实施例中,步骤2包括:In one embodiment, step 2 includes:
步骤21,将整个运营周期[t0,te]按照特征周期长度τ划分为若干个特征时段f∈F={1,2,…,NF}。其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目。Step 21, divide the entire operation cycle [t 0 , t e ] into several characteristic time periods f∈F={1,2,…,N F } according to the characteristic cycle length τ. Wherein, t 0 and t e are the operation start time and end time of a single day, F is the characteristic time period set, and N F is the total number of the divided characteristic time periods f.
步骤22,遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间行驶时长。例如:班次集合表示为m∈M={1,2,…,NM},jm表示班次m的发车时刻,im表示班次m的发车车型索引。Step 22, traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic period, and accumulate the number of boardings, the proportion of alightings, and the travel time between stations in each characteristic period. For example: the schedule set is represented by m∈M={1,2,…,N M }, j m represents the departure time of schedule m, and i m represents the departure vehicle model index of schedule m.
步骤23,通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长。Step 23, by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger arrival rate at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of alightings by the number of departures on a single day, the average proportion of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained.
步骤24,遍历读取到的所有单日运营数据,重复步骤22及步骤23,将所有单日数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkStep 24, traverse all the read daily operation data, repeat steps 22 and 23, average all the daily data over the number of days, and obtain the passenger flow arrival rate α kf , the proportion of passengers getting off the bus ρ kf and the inter-station travel time T k at each station in each characteristic time period f.
其中,“将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长Tk”的举例:系统中有过去 10个工作日的运营数据,则通过步骤22和步骤23可计算从每个单日运营数据中计算的三个数据(αkf,ρkf,Tk),步骤24对10个单日数据求平均,便可以得到方法最终所需数据。Here, “average all single-day operation data over the number of days to obtain the passenger flow arrival rate α kf , the proportion of passengers getting off the bus ρ kf and the travel time between stations T k at each characteristic time period f” is used as an example: there are past The operation data of 10 working days can be used to calculate the three data (α kf , ρ kf , T k ) calculated from each single-day operation data through steps 22 and 23. Step 24 averages the 10 single-day data to obtain the final data required by the method.
上述实施例不仅考虑了乘客的到站规律,也要考虑乘客在站点的下车比例,当然,也可以将运营周期划分为多个时段后,仅统计各个时段内的客流量,来实现步骤2。The above embodiment not only takes into account the arrival pattern of passengers, but also the proportion of passengers getting off at the station. Of course, the operation cycle can also be divided into multiple time periods, and only the passenger flow in each time period is counted to implement step 2.
步骤3,构建用于评估生成的多车型发车时刻表方案的多目标优化函数。Step 3: Construct a multi-objective optimization function for evaluating the generated multi-vehicle departure schedule.
多目标优化函数的目标选择上,由于整个运营周期内的乘客平均等待时间代表出行乘客的效益,整个运营周期内的总运营成本代表公交运营商的效益,二者存在冲突,因此,本实施例将二者作为步骤3中的多目标优化函数,进而有效权衡乘客和公交运营商双方效益。当然,也可以在此基础之上,考虑其他因素,比如公交的拥挤程度等。下面将对多目标优化函数选择的整个运营周期内的乘客平均等待时间和总运营成本进行举例说明。In the target selection of the multi-objective optimization function, since the average waiting time of passengers in the entire operation cycle represents the benefit of traveling passengers, and the total operating cost in the entire operation cycle represents the benefit of the bus operator, there is a conflict between the two. Therefore, this embodiment uses the two as the multi-objective optimization function in step 3, thereby effectively weighing the benefits of both passengers and bus operators. Of course, other factors can also be considered on this basis, such as the degree of congestion of the bus. The following is an example of the average waiting time of passengers and the total operating cost in the entire operation cycle selected by the multi-objective optimization function.
例如:乘客平均等待时间ZAWT由如下公式计算得到:
For example, the average passenger waiting time Z AWT is calculated by the following formula:
式中,k、k′分别为两个站点的索引;NK为站点数目;m为班次索引;NM为发车班次总数目;为步骤2分析得到的特征时段内站点k的客流到达率;为步骤2分析得到的特征时段内站点k的下车乘客占比;表示对tmk/τ向上取整;τ为特征周期长度;tmk为班次m预计到达站点k的时间,t(m-1)k为班次m-1次预计到达站点k的时间,二者通过下式(2)计算得到;jm表示班次m的发车时刻;Tk′为站点(k′-1)到站点k′的行驶时长;Lmk为班次m在站点k因容量限制而滞留的乘客数量,L(m-1)k为班次m-1在站点k因容量限制而滞留的乘客数量,L(m-1)k,为班次m-1在站点k′因容量限制而滞留的乘客数量,三者通过下式(3)计算得到;Bmk为班次m在站点k的上车人数,通过下式(4)计算得到;im为班次m的车型索引;为车型im的额定载客量;Amk为班次m在站点k的下车人数,通过下式(5)计算得到;Qmk为班次m离开站点k时车内人数,Qm(k-1)为班次m离开站点k-1时车内人数,二者通过下式 (6)计算得到;K为站点集合;




In the formula, k and k′ are the indexes of the two stations respectively; N K is the number of stations; m is the trip index; N M is the total number of departure trips; The characteristic period obtained from step 2 analysis The passenger arrival rate at inner station k; The characteristic period obtained from step 2 analysis The proportion of passengers getting off at inner station k; = represents the rounding up of t mk /τ; τ is the characteristic cycle length; t mk is the estimated arrival time of bus m at station k, t (m-1)k is the estimated arrival time of bus m-1 at station k, both of which are calculated by the following formula (2); j m represents the departure time of bus m; T k′ is the travel time from station (k′-1) to station k′; L mk is the number of passengers stranded at station k due to capacity limitation of bus m, L (m-1)k is the number of passengers stranded at station k due to capacity limitation of bus m-1, L (m-1)k , is the number of passengers stranded at station k′ due to capacity limitation of bus m-1, all three are calculated by the following formula (3); B mk is the number of passengers boarding bus m at station k, calculated by the following formula (4); i m is the vehicle model index of bus m; is the rated passenger capacity of vehicle type i m ; A mk is the number of passengers getting off at station k of shift m, which is calculated by the following formula (5); Q mk is the number of passengers in the vehicle when shift m leaves station k, and Q m(k-1) is the number of passengers in the vehicle when shift m leaves station k-1, which are calculated by the following formula (6) is calculated; K is the site set;




特别地,式(3)至式(6)以递推的方式从m及站点k两个维度对乘客出行行为进行建模,进而计算出载客量限制下站点遗留乘客数量,考虑该类乘客的候车时间可进一步地保证公交服务质量。In particular, equations (3) to (6) recursively model passenger travel behavior from two dimensions, m and station k, and then calculate the number of passengers left at the station under the passenger capacity limit. Considering the waiting time of such passengers can further guarantee the quality of bus service.
例如:总运营成本ZTOC与各车型的发车班次的数量有关,可以由如下公式(7)计算得到:
For example, the total operating cost Z TOC is related to the number of departures of each type of vehicle and can be calculated using the following formula (7):
式中,i为车辆类型索引,NI为车辆类型总数,如:某公交运营商有5、12、25座三种车型的车辆,则NI=3;NTi为发车时刻表方案中车辆类型i的班次数量,R为线路总行驶里程;Ci为车辆类型i的单位行驶成本。Where i is the vehicle type index, NI is the total number of vehicle types, such as a bus operator has three types of vehicles: 5, 12, and 25 seats, then NI = 3; NTi is the number of trips of vehicle type i in the departure schedule plan, R is the total mileage of the route; Ci is the unit driving cost of vehicle type i.
需要说明的是,运营成本的计算不限于车辆的行驶成本,亦可将其它车辆运行单位距离相关的维护、配套设施建设、整车购置平均额等相关成本融合考虑。It should be noted that the calculation of operating costs is not limited to the vehicle's driving costs, but also includes other vehicle-related unit distance maintenance, supporting facilities construction, average vehicle purchase costs and other related costs.
与现有技术相比,本发明实施例通过步骤2和步骤3,考虑了多种车型的公交发车时刻设计问题,因此本发明适应公交系统不同的车辆组成形式,而且通过联合优化公交线路的发车时刻及车型,从而能够使所得时刻表更接近于全局最优解。Compared with the prior art, the embodiment of the present invention takes into account the design problem of bus departure times for various types of vehicles through steps 2 and 3. Therefore, the present invention is adaptable to different vehicle composition forms of the bus system, and by jointly optimizing the departure times and vehicle types of bus lines, the obtained timetable can be made closer to the global optimal solution.
步骤4:构建多车型时刻表的约束条件集,保证所得时刻表方案在既定设置和资源配置下的实施可行性、合理性。包括但不限于如下约束:Step 4: Construct a set of constraints for the multi-vehicle timetable to ensure the feasibility and rationality of the resulting timetable solution under the given settings and resource allocation. This includes but is not limited to the following constraints:
首末班次发车时刻约束:为保证时刻表中的发车班次可覆盖整个运营时段,指定首末班次在运营时段起止时刻发车,即j1=t0 First and last bus departure time constraints: To ensure that the departure times in the timetable can cover the entire operating period, the first and last bus departure times are specified at the start and end times of the operating period, that is, j 1 = t 0 ,
班次发车间隔约束:为避免相邻班次车辆行驶距离过小或过大而影响线路运营稳定性,应使相邻班次发车时刻之差在步骤1所设定的范围内,即 Hmin≤jm-j(m-1)≤HmaxTrain departure interval constraint: To avoid the distance between adjacent trains being too short or too long, which may affect the stability of line operation, the difference between the departure times of adjacent trains should be within the range set in step 1, that is, H min ≤ j m -j (m-1) ≤ H max .
班次资源利用率约束:为避免班次车辆在其整个服务过程中都余留大量空座的供过于求现象,应使各班次的最大载客量大于步骤1所设定的班次利用率下限,即 Constraint on shift resource utilization: To avoid the phenomenon of oversupply of shift vehicles with a large number of empty seats during their entire service process, the maximum passenger capacity of each shift should be greater than the lower limit of the shift utilization set in step 1, that is,
可用车辆资源约束:为避免时刻表中单一车型的发车时刻过于集中,以致需要某一车型发车时其所有可用车辆都在执行班次的现象,应使得整个运营周期中任一段线路循环时间rrt内单一车型的发车班次数量不超过步骤1所设定可使用的车辆数量ViAvailable vehicle resource constraints: To avoid the situation where the departure times of a single vehicle type are too concentrated in the timetable, so that all available vehicles are on duty when a certain vehicle type is required to depart, the number of departure times of a single vehicle type within any line cycle time r rt in the entire operation cycle should not exceed the number of available vehicles Vi set in step 1.
车辆额定载客量限制:出于行驶安全方面的考虑,应保证任何时刻班次的载客人数不超过其车型决定的额定载客量,由此而可能造成的到站乘客无法全部上车而必须等待后续班次的现象。Vehicle rated passenger capacity limit: For driving safety reasons, it should be ensured that the number of passengers on a bus at any time does not exceed the rated passenger capacity determined by the vehicle model. This may result in all arriving passengers being unable to get on the bus and having to wait for subsequent buses.
步骤5,采用多目标优化算法求解得到Pareto最优解集。Step 5: Use a multi-objective optimization algorithm to obtain the Pareto optimal solution set.
Pareto最优解集:多目标优化问题不存在使所有目标同时达到最优的解,因此只能得到其Pareto最优解集PS,其中包含多个可行解且相互之间无法比较优劣。亦即对任一解s∈PS,在解集的其它解{PS\s}中不存在解s′可使得其每个目标都绝对优于s。Pareto optimal solution set: There is no solution that can achieve the optimal solution for all objectives at the same time in a multi-objective optimization problem, so only the Pareto optimal solution set PS can be obtained, which contains multiple feasible solutions that cannot be compared with each other. That is, for any solution s∈PS, there is no solution s′ in the other solutions {PS\s} in the solution set that can make each of its objectives absolutely better than s.
以非支配排序遗传算法为例,说明步骤5的具体实现方式,包括如下步骤:Taking the non-dominated sorting genetic algorithm as an example, the specific implementation of step 5 is described, including the following steps:
步骤51:计算机随机生成Ns个可行时刻表方案TTp作为初始父代解,满足步骤4所述约束条件,并对初始父代解进行实数编码,如图3所示。Step 51: The computer randomly generates N s feasible timetable solutions TT p as initial parent solutions, satisfying the constraints described in step 4, and performs real number encoding on the initial parent solutions, as shown in FIG3 .
步骤52:依据步骤3所述方法计算各方案的两个目标函数值,并依据目标函数值对各方案进行非支配性排序。Step 52: Calculate two objective function values of each solution according to the method described in step 3, and perform non-dominant sorting of each solution according to the objective function values.
步骤53:利用联赛选择的方式竞选出Ns个优胜解,并通过插入新班次、取消已有班次或重新排序某时段内的车型序列的方式对其中的时刻表方案进行变更,得到新的方案TTsStep 53: Use the league selection method to select N s winning solutions, and change the timetable plan by inserting new shifts, canceling existing shifts, or reordering the vehicle model sequence within a certain period to obtain a new solution TT s .
步骤54:合并TTp和TTs得到TTc,依据步骤3所述方法计算各方案的两个目标函数值,并依据目标函数值对各方案进行非支配性排序。Step 54: Combine TT p and TT s to obtain TT c , calculate two objective function values of each solution according to the method described in step 3, and perform non-dominant sorting on each solution according to the objective function values.
步骤55:依据步骤54中的排序等级,选择前Ns个时刻表方案作为下一代TTp,并将等级为1的解记入TTps中。Step 55: According to the ranking level in step 54, the first Ns timetable solutions are selected as the next generation TT p , and the solutions with level 1 are recorded in TT ps .
步骤56:重复步骤53至步骤55,直至迭代既定的次数后输出最终的Pareto最优解集TTpsStep 56: Repeat steps 53 to 55 until a final Pareto optimal solution set TT ps is output after a predetermined number of iterations.
上述各实施例中,对于步骤5中的多目标优化算法,不限于使用多目标遗传 算法,其它基于进化的多目标优化算法同样可实现对模型的求解,例如多目标粒子群优化算法。In the above embodiments, the multi-objective optimization algorithm in step 5 is not limited to using the multi-objective genetic Algorithm, other evolution-based multi-objective optimization algorithms can also solve the model, such as the multi-objective particle swarm optimization algorithm.
本发明实施例通过步骤5权衡了涉及运营商及乘客的两类目标,因此可以得到代表不同效益偏好的方案供调度员选择。The embodiment of the present invention balances the two types of objectives involving operators and passengers through step 5, so that solutions representing different benefit preferences can be obtained for the dispatcher to choose.
步骤6,从最优解集中筛选代表不同效益偏好的解,生成对应的发车时刻表方案,供调度人员或计算机系统选择。Step 6: Filter solutions representing different benefit preferences from the optimal solution set and generate corresponding departure schedule plans for selection by dispatchers or computer systems.
以考虑服务质量优先、运营成本优先和服务-成本均衡三种效益偏好为例,包含以下步骤:Taking the three benefit preferences of service quality priority, operating cost priority and service-cost balance as an example, the following steps are included:
步骤61,将步骤5得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,更新TTps并记录其包含的时刻表方案数目N。Step 61, sort the timetable solutions in the Pareto optimal solution set TT ps obtained in step 5 in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains.
步骤62,将TTps中的首个解作为服务质量优先的时刻表方案TT-QoS(中文全称为“服务质量优化的时刻表”,英文全称为“Timetable-Quality of Service First”),在时刻表方案TT-QoS下,乘客的平均等待时间最小。将TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost(中文全称为“运营成本优先的时刻表”,英文全称为Timetable-Operating Cost First”),在时刻表方案TT-Cost下,总的运营成本最小。将位于TTps中间的解,例如第N/2个解,且当N为偶数时取(N-1)/2,作为服务-成本均衡的时刻表方案TT-Eq(中文全称为“服务-成本均衡的时刻表”,英文全称为“Timetable-Equilibrium Model”)。Step 62, take the first solution in TT ps as the timetable scheme TT-QoS (Chinese full name "Timetable-Quality of Service First") with priority on service quality. Under the timetable scheme TT-QoS, the average waiting time of passengers is minimized. Take the last solution in TT ps as the timetable scheme TT-Cost (Chinese full name "Timetable-Operating Cost First") with priority on operating cost. Under the timetable scheme TT-Cost, the total operating cost is minimized. Take the solution in the middle of TT ps , for example, the N/2th solution, and take (N-1)/2 when N is an even number, as the timetable scheme TT-Eq (Chinese full name "Timetable-Equilibrium Model") with service-cost balance.
步骤63,标记步骤62获得的时刻表方案TT-QoS、TT-Cost和TT-Eq的乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,输出对应的发车时刻表方案,以便于调度员或计算机系统做后续决策。Step 63, after marking the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type of vehicle of the timetable solutions TT-QoS, TT-Cost and TT-Eq obtained in step 62, the corresponding departure timetable solution is output to facilitate the dispatcher or computer system to make subsequent decisions.
输出的可选时刻表方法信息结构下表所示(以三种车型为例):

The output optional timetable method information structure is shown in the following table (taking three types of vehicles as an example):

上述步骤1至步骤6可由图1表示。The above steps 1 to 6 can be represented by FIG. 1 .
将公交线路的班次发车时刻及其对应车型融合到同一框架中进行优化计算,并利用多目标优化方法进行求解,以得到代表不同目标偏好的时刻表方案供公交调度人员选择,进而更好地权衡公交运营商及乘客双方的效益。The departure times of bus routes and their corresponding bus models are integrated into the same framework for optimization calculation, and solved using a multi-objective optimization method to obtain a timetable solution representing different target preferences for bus dispatchers to choose from, thereby better balancing the benefits of both bus operators and passengers.
如图2所示,本发明实施例还提供一种用于智能公交系统的多车型时刻表设计系统。例如,该系统能够执行上述方法。该系统包括参数配置模块、数据读取模块、数据分析模块、时刻表生成模块和方案输出模块,其中:As shown in FIG2 , an embodiment of the present invention further provides a multi-vehicle timetable design system for an intelligent public transportation system. For example, the system can execute the above method. The system includes a parameter configuration module, a data reading module, a data analysis module, a timetable generation module, and a solution output module, wherein:
参数配置模块用于根据公交线路实际运营情况,设置线路运营参数及多车型公交资源配置。The parameter configuration module is used to set line operation parameters and multi-model bus resource configuration according to the actual operation of the bus line.
数据读取模块用于向数据库读取公交线路的历史运营数据,该数据包括多个单日内的所有发车班次在线路各站点的到离站时刻、上下车乘客数目。The data reading module is used to read the historical operation data of the bus line from the database. The data includes the arrival and departure times of all departure trips at each station on the line and the number of passengers getting on and off the bus in multiple single days.
数据分析模块用于统计分析对应运营周期内的客流需求规律及车辆站间行驶时长。The data analysis module is used to statistically analyze the passenger flow demand patterns and vehicle travel time between stations within the corresponding operating cycle.
时刻表生成模块用于构建用于评估生成的多车型发车时刻表方案的多目标优化函数及多车型时刻表的约束条件集,并采用多目标优化算法求解得到Pareto最优解集TTpsThe timetable generation module is used to construct a multi-objective optimization function for evaluating the generated multi-model departure timetable scheme and a set of constraints for the multi-model timetable, and uses a multi-objective optimization algorithm to solve and obtain the Pareto optimal solution set TT ps .
方案输出模块,其用于从Pareto最优解集TTps中筛选代表不同效益偏好的解,生成对应的发车时刻表方案。The solution output module is used to select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure timetable solution.
在一个实施例中,数据分析模块中的运营周期内的客流需求规律包括各站点的客流到达率αkf、下车乘客占比ρkf,数据分析模块包括时段划分单元和计算单元,其中:In one embodiment, the passenger flow demand rules in the operation cycle in the data analysis module include the passenger flow arrival rate α kf and the proportion of passengers getting off the bus ρ kf at each station. The data analysis module includes a time period division unit and a calculation unit, wherein:
时段划分单元用于将整个运营周期[t0,te]按照特征周期长度τ划分为若干个 特征时段f∈F={1,2,…,NF};其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目。The time period division unit is used to divide the entire operation cycle [t 0 ,t e ] into several time periods according to the characteristic period length τ. Feature time period f∈F={1,2,…, NF }; where t0 and te are the start and end times of the operation on a single day, respectively, F is the feature time period set, and NF is the total number of feature time periods f divided.
计算单元用于遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间行驶时长;通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长;最后将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkThe calculation unit is used to traverse each departure trip in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings and the travel time between stations in each characteristic time period; by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger flow arrival rate of the station in the characteristic time period f of a single day is obtained; by dividing the accumulated proportion of alightings by the number of departure trips on a single day, the average proportion of alightings at the station in the characteristic time period f of a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained; finally, all the single-day operation data are averaged over the number of days to obtain the passenger flow arrival rate α kf , the proportion of alighting passengers ρ kf and the travel time between stations T k of each station in each characteristic time period f.
在一个实施例中,时刻表生成模块中多目标优化函数包括整个运营周期内的乘客平均等待时间ZAWT和总运营成本ZTOC,ZAWT、ZTOC分别由如公式(1)、式(7)计算得到,约束条件集包括首末班次发车时刻约束、班次发车间隔约束、班次资源利用率约束、可用车辆资源约束和车辆额定载客量限制。In one embodiment, the multi-objective optimization function in the timetable generation module includes the average waiting time Z AWT of passengers and the total operating cost Z TOC in the entire operation cycle. Z AWT and Z TOC are calculated by formula (1) and formula (7) respectively. The constraint condition set includes the first and last bus departure time constraint, bus departure interval constraint, bus resource utilization constraint, available vehicle resource constraint and vehicle rated passenger capacity limit.
在一个实施例中,方案输出模块包括排序单元、时刻表方案生成单元和发车时刻表方案生成单元,其中:In one embodiment, the plan output module includes a sorting unit, a schedule plan generating unit and a departure schedule plan generating unit, wherein:
排序单元用于将时刻表生成模块得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,更新TTps并记录其包含的时刻表方案数目N。The sorting unit is used to sort the timetable solutions in the Pareto optimal solution set TT ps obtained by the timetable generation module in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains.
时刻表方案筛选单元,其用于将Pareto最优解集TTps中的首个解作为服务质量优先的时刻表方案TT-QoS,将Pareto最优解集TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost,将位于TTps中间的解作为服务-成本均衡的时刻表方案TT-Eq。The schedule screening unit is used to use the first solution in the Pareto optimal solution set TT ps as the schedule plan with service quality priority TT-QoS, use the last solution in the Pareto optimal solution set TT ps as the schedule plan with operation cost priority TT-Cost, and use the solution in the middle of TT ps as the schedule plan with service-cost balance TT-Eq.
发车时刻表方案生成单元,其用于将时刻表方案TT-QoS、TT-Cost和TT-Eq均标记乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,作为可选的时刻表方案输出。The departure schedule plan generating unit is used to mark the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the schedule plans TT-QoS, TT-Cost and TT-Eq, and output them as optional schedule plans.
最后需要指出的是:以上实施例仅用以说明本发明的技术方案,而非对其限制。本领域的普通技术人员应当理解:可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围。 Finally, it should be pointed out that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit them. Those skilled in the art should understand that the technical solutions described in the above embodiments may be modified, or some of the technical features thereof may be replaced by equivalents; these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims (9)

  1. 一种用于智能公交系统的多车型时刻表设计方法,其特征在于,包括:A multi-vehicle timetable design method for an intelligent public transportation system, characterized by comprising:
    步骤1,根据公交线路实际运营情况,设置线路运营参数及多车型公交资源配置;Step 1: Set the route operation parameters and multi-model bus resource configuration according to the actual operation of the bus route;
    步骤2,读取并处理对应线路多天的历史运营数据,统计分析对应运营周期内的客流需求规律及车辆站间行驶时长;Step 2: read and process the historical operation data of the corresponding line for multiple days, and statistically analyze the passenger flow demand pattern and the vehicle travel time between stations within the corresponding operation period;
    步骤3,构建用于评估生成的多车型发车时刻表方案的多目标优化函数;Step 3, construct a multi-objective optimization function for evaluating the generated multi-vehicle departure schedule scheme;
    步骤4,构建多车型时刻表的约束条件集;Step 4, construct the constraint set of the multi-vehicle timetable;
    步骤5,根据多目标优化函数和多车型时刻表的约束条件集,采用多目标优化算法求解得到Pareto最优解集TTpsStep 5: Based on the multi-objective optimization function and the constraint condition set of the multi-vehicle timetable, a multi-objective optimization algorithm is used to obtain the Pareto optimal solution set TT ps ;
    步骤6,从Pareto最优解集TTps中筛选代表不同效益偏好的解,生成对应的发车时刻表方案。Step 6: Select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure schedule plan.
  2. 如权利要求1所述的用于智能公交系统的多车型时刻表设计方法,其特征在于,步骤2中的运营周期内的客流需求规律包括各站点的客流到达率αkf和下车乘客占比ρkf,步骤2包括:The multi-type timetable design method for an intelligent public transportation system according to claim 1, characterized in that the passenger flow demand law within the operation cycle in step 2 includes the passenger flow arrival rate α kf and the proportion of passengers getting off the bus ρ kf at each station, and step 2 includes:
    步骤21,将整个运营周期[t0,te]按照特征周期长度τ划分为若干个特征时段f∈F={1,2,…,NF};其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目;Step 21, divide the entire operation cycle [t 0 ,t e ] into a number of characteristic time periods f∈F={1,2,…, NF } according to the characteristic cycle length τ; where t 0 and t e are the start and end times of the operation of a single day, respectively, F is the characteristic time period set, and NF is the total number of the divided characteristic time periods f;
    步骤22,遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间行驶时长;Step 22, traverse each departure schedule in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings, and the travel time between stations in each characteristic time period;
    步骤23,通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长;Step 23, by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger flow arrival rate of the station in the characteristic time period f on a single day is obtained; by dividing the accumulated proportion of the number of alightings by the number of departures on a single day, the average proportion of the number of alightings at the station in the characteristic time period f on a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations on the line is obtained;
    步骤24,遍历读取到的所有单日运营数据,重复步骤22及步骤23,将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkStep 24, traverse all the read daily operation data, repeat steps 22 and 23, average all the daily operation data over the number of days, and obtain the passenger flow arrival rate α kf , the proportion of passengers getting off the bus ρ kf and the inter-station travel time T k at each station in each characteristic time period f.
  3. 如权利要求2所述的用于智能公交系统的多车型时刻表设计方法,其 特征在于,步骤3中多目标优化函数包括整个运营周期内的乘客平均等待时间ZAWT和总运营成本ZTOC,ZAWT、ZTOC分别由如下公式(1)、式(7)计算得到:
    The multi-type timetable design method for an intelligent public transportation system as claimed in claim 2, wherein The characteristic is that the multi-objective optimization function in step 3 includes the average waiting time Z AWT and the total operating cost Z TOC of passengers in the entire operation cycle, and Z AWT and Z TOC are calculated by the following formulas (1) and (7) respectively:
    式中,k为站点的索引;NK为站点数目;m为班次索引;NM为发车班次总数目;为步骤2分析得到的特征时段内站点k的客流到达率;αk[f]为步骤2分析得到的特征时段f内站点k的客流到达率;表示对tmk/τ向上取整;τ为特征周期长度;tmk为班次m预计到达站点k的时间,t(m-1)k为班次m-1次预计到达站点k的时间;
    In the formula, k is the index of the station; N K is the number of stations; m is the shift index; N M is the total number of departure shifts; The characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It means t mk /τ is rounded up; τ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
    式中,NI为车辆类型总数,i为车辆类型索引,NTi为发车时刻表方案中车辆类型i的班次数量,R为线路总行驶里程;Ci为车辆类型i的单位行驶成本。Where, NI is the total number of vehicle types, i is the vehicle type index, NTi is the number of trips of vehicle type i in the departure schedule plan, R is the total mileage of the line; Ci is the unit driving cost of vehicle type i.
  4. 如权利要求2所述的用于智能公交系统的多车型时刻表设计方法,其特征在于,步骤4的约束条件集包括首末班次发车时刻约束、班次发车间隔约束、班次资源利用率约束、可用车辆资源约束和车辆额定载客量限制。The multi-type timetable design method for an intelligent public transportation system as described in claim 2 is characterized in that the constraint condition set of step 4 includes the first and last bus departure time constraints, the bus departure interval constraints, the bus resource utilization constraints, the available vehicle resource constraints and the vehicle rated passenger capacity restrictions.
  5. 如权利要求1-4中任一项所述的用于智能公交系统的多车型时刻表设计方法,其特征在于,步骤6具体包括:The method for designing a multi-type timetable for an intelligent public transportation system according to any one of claims 1 to 4, characterized in that step 6 specifically comprises:
    步骤61,将步骤5得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,并记录其包含的时刻表方案数目N。Step 61, sorting the timetable solutions in the Pareto optimal solution set TT ps obtained in step 5 in ascending order according to the objective function value Z AWT , and recording the number N of timetable solutions contained therein.
    步骤62,将Pareto最优解集TTps中的首个解作为服务质量优先的时刻表方案TT-QoS,将Pareto最优解集TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost,将位于TTps中间的解作为服务-成本均衡的时刻表方案TT-Eq;Step 62, taking the first solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on service quality TT-QoS, taking the last solution in the Pareto optimal solution set TT ps as the timetable scheme with priority on operating cost TT-Cost, and taking the solution in the middle of TT ps as the timetable scheme with balanced service and cost TT-Eq;
    步骤63,将步骤62获得的时刻表方案TT-QoS、TT-Cost和TT-Eq均标记乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,作为可选的时刻表方案输出。Step 63, after marking the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the timetable solutions TT-QoS, TT-Cost and TT-Eq obtained in step 62, the solutions are output as optional timetable solutions.
  6. 一种用于智能公交系统的多车型时刻表设计方法的系统,其特征在于,包括:A system for designing a multi-type timetable for an intelligent public transportation system, characterized by comprising:
    参数配置模块,其用于根据公交线路实际运营情况,设置线路运营参数及 多车型公交资源配置;The parameter configuration module is used to set the line operation parameters and Multi-model bus resource allocation;
    数据读取模块,其用于向数据库读取公交线路的历史运营数据,该数据包括多个单日内的所有发车班次在线路各站点的到离站时刻、上下车乘客数目;A data reading module is used to read the historical operation data of the bus line from the database, which includes the arrival and departure times of all departures at each station on the line and the number of passengers getting on and off the bus in multiple single days;
    数据分析模块,其用于统计分析对应运营周期内的客流需求规律及车辆站间行驶时长;Data analysis module, which is used to statistically analyze the passenger flow demand pattern and vehicle travel time between stations within the corresponding operation cycle;
    时刻表生成模块,其用于构建用于评估生成的多车型发车时刻表方案的多目标优化函数及多车型时刻表的约束条件集,并采用多目标优化算法求解得到Pareto最优解集TTpsThe timetable generation module is used to construct a multi-objective optimization function for evaluating the generated multi-model departure timetable scheme and a set of constraints for the multi-model timetable, and to use a multi-objective optimization algorithm to solve and obtain a Pareto optimal solution set TT ps ;
    方案输出模块,其用于从Pareto最优解集TTps中筛选代表不同效益偏好的解,生成对应的发车时刻表方案。The solution output module is used to select solutions representing different benefit preferences from the Pareto optimal solution set TT ps and generate the corresponding departure timetable solution.
  7. 如权利要求6所述的用于智能公交系统的多车型时刻表设计系统,其特征在于,数据分析模块中的运营周期内的客流需求规律包括各站点的客流到达率αkf、下车乘客占比ρkf,数据分析模块包括:The multi-type timetable design system for an intelligent public transportation system according to claim 6, characterized in that the passenger flow demand law within the operation cycle in the data analysis module includes the passenger flow arrival rate α kf and the proportion of passengers getting off the bus ρ kf at each station, and the data analysis module includes:
    时段划分单元,其用于将整个运营周期[t0,te]按照特征周期长度τ划分为若干个特征时段f∈F={1,2,…,NF};其中,t0、te分别为单日的运营起始时刻和终止时刻,F为特征时段集合,NF为划分出的特征时段f的总数目;The time period division unit is used to divide the entire operation cycle [t 0 ,t e ] into a number of characteristic time periods f∈F={1,2,…, NF } according to the characteristic cycle length τ; wherein t 0 and t e are the operation start time and end time of a single day, respectively, F is the characteristic time period set, and NF is the total number of the divided characteristic time periods f;
    计算单元,其用于遍历单日运营数据中的每个发车班次,将每个到站时间对应至相应的特征时段,并累加每个特征时段内的上车人数、下车人数占比和站间行驶时长;通过将累加后的特征时段f内上车人数除以τ,得到单日该特征时段f内站点客流到达率;通过将累加后的下车人数占比除以单日发车班次数量,得到单日该特征时段f内平均站点下车人数占比;通过将累加后的站间行驶时长除以累加次数,得到线路相邻站点间的平均行驶时长;最后将所有单日运营数据对天数求平均,得到各特征时段f内各站点的客流到达率αkf、下车乘客占比ρkf及站间行驶时长TkA calculation unit is used to traverse each departure trip in the single-day operation data, correspond each arrival time to the corresponding characteristic time period, and accumulate the number of boardings, the proportion of alightings and the travel time between stations in each characteristic time period; by dividing the accumulated number of boardings in the characteristic time period f by τ, the passenger flow arrival rate of the station in the characteristic time period f of a single day is obtained; by dividing the accumulated proportion of alightings by the number of departure trips on a single day, the average proportion of alightings at the station in the characteristic time period f of a single day is obtained; by dividing the accumulated travel time between stations by the accumulated number of times, the average travel time between adjacent stations of the line is obtained; finally, all the single-day operation data are averaged over the number of days to obtain the passenger flow arrival rate α kf , the proportion of alighting passengers ρ kf and the travel time between stations T k at each station in each characteristic time period f.
  8. 如权利要求6所述的用于智能公交系统的多车型时刻表设计系统,其特征在于,时刻表生成模块中多目标优化函数包括整个运营周期内的乘客平均等待时间ZAWT和总运营成本ZTOC,ZAWT、ZTOC分别由如下公式(1)、式(7)计算得到,约束条件集包括首末班次发车时刻约束、班次发车间隔约束、班次资源利用率约束、可用车辆资源约束和车辆额定载客量限制:
    The multi-type timetable design system for an intelligent public transportation system as claimed in claim 6 is characterized in that the multi-objective optimization function in the timetable generation module includes the average waiting time Z AWT of passengers in the entire operation cycle and the total operation cost Z TOC , Z AWT and Z TOC are calculated by the following formula (1) and formula (7) respectively, and the constraint condition set includes the first and last bus departure time constraints, the bus departure interval constraints, the bus resource utilization constraint, the available vehicle resource constraint and the vehicle rated passenger capacity limit:
    式中,k为站点的索引;NK为站点数目;m为班次索引;NM为发车班次总数目;为步骤2分析得到的特征时段内站点k的客流到达率;αk[f]为步骤2分析得到的特征时段f内站点k的客流到达率;表示对tmk/τ向上取整;τ为特征周期长度;tmk为班次m预计到达站点k的时间,t(m-1)k为班次m-1次预计到达站点k的时间;
    In the formula, k is the index of the station; N K is the number of stations; m is the shift index; N M is the total number of departure shifts; The characteristic period obtained from step 2 analysis The passenger flow arrival rate of station k in the feature time period f obtained by step 2 is the passenger flow arrival rate of station k in the feature time period f. It represents t mk /τ rounded up; τ is the characteristic cycle length; t mk is the estimated arrival time of shift m at station k, and t (m-1)k is the estimated arrival time of shift m-1 at station k;
    式中,NI为车辆类型总数,i为车辆类型索引,NTi为发车时刻表方案中车辆类型i的班次数量,R为线路总行驶里程;Ci为车辆类型i的单位行驶成本。Where, NI is the total number of vehicle types, i is the vehicle type index, NTi is the number of trips of vehicle type i in the departure schedule plan, R is the total mileage of the line; Ci is the unit driving cost of vehicle type i.
  9. 如权利要求6-8中任一项所述的用于智能公交系统的多车型时刻表设计系统,其特征在于,方案输出模块包括:The multi-type timetable design system for an intelligent public transportation system according to any one of claims 6 to 8, characterized in that the solution output module comprises:
    排序单元,其用于将时刻表生成模块得到的Pareto最优解集TTps中的时刻表方案根据目标函数值ZAWT升序排序,更新TTps并记录其包含的时刻表方案数目N;A sorting unit, which is used to sort the timetable solutions in the Pareto optimal solution set TT ps obtained by the timetable generation module in ascending order according to the objective function value Z AWT , update TT ps and record the number N of timetable solutions it contains;
    时刻表方案筛选单元,其用于将Pareto最优解集TTps中的首个解作为服务质量优先的时刻表方案TT-QoS,将Pareto最优解集TTps中的最后一个解作为运营成本优先的时刻表方案TT-Cost,将位于TTps中间的解作为服务-成本均衡的时刻表方案TT-Eq;a schedule screening unit, configured to select the first solution in the Pareto optimal solution set TT ps as the schedule with service quality priority TT-QoS, select the last solution in the Pareto optimal solution set TT ps as the schedule with operation cost priority TT-Cost, and select the solution in the middle of TT ps as the schedule with service-cost balance TT-Eq;
    发车时刻表方案生成单元,其用于将时刻表方案TT-QoS、TT-Cost和TT-Eq均标记乘客平均等待时间、总运营成本计算值以及所需的各车型车辆数目后,作为可选的时刻表方案输出。 The departure schedule plan generating unit is used to mark the average waiting time of passengers, the calculated value of the total operating cost and the required number of vehicles of each type in the schedule plans TT-QoS, TT-Cost and TT-Eq, and output them as optional schedule plans.
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