CN110782694B - Internet bus arrival and stop management optimization method - Google Patents
Internet bus arrival and stop management optimization method Download PDFInfo
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Abstract
The invention relates to an internet bus arrival and stop management optimization method, which comprises the following steps: step S1: establishing a mathematical model for managing the arrival and the stop of the internet buses; step S2: acquiring linear constraint conditions of a networked bus arrival and stop management mathematical model and linear objective functions related to all bus delays, all bus passenger delays or all bus emptying time; step S3: and performing the online bus arrival and stop management based on the real-time parameters and the online bus arrival and stop management mathematical model. Compared with the prior art, the method has the advantages that the result is optimal, the model can be solved, the model can be migrated, the delay of the stop of the internet bus can be effectively reduced, the stop efficiency is improved, and the better bus service is provided for passengers.
Description
Technical Field
The invention relates to the field of public transport stop management, in particular to an optimization method for stop management of internet buses.
Background
The public transport has large passenger carrying rate and high resource utilization rate, and is an important component in an urban traffic system. The stop process of the bus at the station is a key in the operation process of the bus, and stop delay is often caused by unbalanced supply and demand and improper management. The delay is mainly caused by the fact that the number of passengers getting on and off each bus at a stop is different, and the service duration, namely the parking duration, of each bus at the stop is also different. Therefore, the bus may wait for the service before the bus stops or wait for the service before the bus stops during the process of stopping at the multi-berth bus stop. And along with the continuous development of car networking technology, bus real-time information can share, like real-time position, speed, direction angle, the passenger demand of station also can acquire. The method has the advantages that the parking sequence of the buses is optimized under the conditions that the real-time positions of the buses on the road section and the available boarding and alighting requirements of each bus are met, the parking resources of the stations are reasonably utilized, the service efficiency of the bus stations can be greatly improved, and the service reliability of a bus operation system is improved.
At present, the management and control of bus stop are very few, and the intelligent bus stop management system mainly focuses on two aspects of bus intelligent induction and fixed-point stop. The students of Liu Yi post and the like put forward the idea of a multi-berth bus station real-time queuing guidance system, the system can concentrate the real-time information of buses on the road section, process and release the information, and the system is also provided with the functions of bus speed guidance, bus fixed-point stop, real-time stop information release and the like. However, the system only proposes related functions at present, and a specific implementation method of the functions is not described. The Li Fei designs a multi-berth dynamic distribution method for the bus stops of the intelligent bus system, and two sets of bus stop algorithms are designed according to whether the bus stops fully. The two sets of algorithms can optimize the stop sequence of the buses at the station, but can only optimize three buses to be arrived at the station at most, the range is small, and the optimization cannot be guaranteed.
Disclosure of Invention
The invention aims to provide a method for managing and optimizing the arrival and stop of the internet-connected bus in order to overcome the defects that an optimization system in the prior art has no specific implementation method, a small optimization range and incapability of ensuring the optimization.
The purpose of the invention can be realized by the following technical scheme:
an internet bus arrival and stop management optimization method comprises the following steps:
step S1: establishing a mathematical model for managing the arrival and the stop of the internet buses;
step S2: acquiring linear constraint conditions of a networked bus arrival and stop management mathematical model and linear objective functions related to all bus delays, all bus passenger delays or all bus emptying time;
step S3: and performing the online bus arrival and stop management based on the real-time parameters and the online bus arrival and stop management mathematical model.
The real-time parameters comprise the number of the internet buses ready to arrive at the bus station for parking service, the number of parking positions contained in the bus station, whether the bus station has the internet buses at the station for parking service at present, the highest speed and the lowest speed of the internet buses in running, the time of the internet buses from arriving at the bus station to arriving at the parking positions, the time of the internet buses from the parking positions to leaving the bus station completely, the minimum safe headway between the internet buses and the running information of the internet buses.
The running information of the internet buses comprises the time when the internet buses should be out of the schedule, the stop time of the internet buses at the stop, the average number of passengers of the internet buses and the distance between the internet buses and the bus stop.
The linear constraint conditions comprise a service part for the current internet-free bus stop of the bus station and a service part for the current internet-connected bus stop of the bus station.
The service part of the current internet-free bus at the bus station comprises:
constraint C1: the running speed of the internet bus can not be higher than the highest speed and can not be lower than the lowest speed, and the mathematical expression is as follows:
wherein d isnIs the distance between the nth internet bus and the bus station,the moment when the nth internet bus arrives at the bus station,is the highest speed of the internet bus running,the number of the internet buses to be served at the bus stop is N;
constraint C2: the time when the internet-connected bus arrives at the berth position is at least longer than the time when the internet-connected bus arrives at the bus station, and the expression is as follows:
wherein, TinThe time for the internet bus to get in from the bus station to the berth position is required,the moment when the nth internet bus reaches the berth position;
constraint C3: the time when the internet-connected bus completely leaves the bus station is at least longer than the time when the internet-connected bus arrives at the berth position, and the expression is as follows:
wherein S isnThe stop time length T of the nth internet busoutThe time for the internet bus to get out of the bus from the parking position to completely leave the bus station,the moment when the nth internet bus completely leaves the bus station;
constraint C4: the berth position of the internet bus is in the berth position of a bus station, the berth number of the berth position of the bus station sequentially adds 1 from downstream to upstream from 1, and the expression is as follows:
wherein, PnThe number of the nth networked bus is the number of the nth networked bus, and P is the number of the nth networked bus;
constraint C5: the time when different internet buses arrive at the respective berth positions at least has the minimum safe headway interval, and the expression is as follows:
wherein lm,nIs a variable of 0 to 1, the 1 represents that the mth internet bus arrives at the bus station earlier than the nth internet bus, otherwise, the T is 0secM is a sufficiently large number for the minimum safe headway;
constraint C6: the time that different networking buses leave the bus station is minimum safe headway at least interval, and the expression is:
constraint C7: if the most upstream parking position of the bus station is occupied when the internet-connected bus arrives at the bus station, the internet-connected bus needs to wait for the occupied internet-connected bus occupying the most upstream parking position to leave the bus station and then enter the bus station, and the expression is as follows:
wherein q ism(t) the number of networked buses which arrive at the bus station before the mth networked bus at the time t and do not arrive at the bus station, e (t) is a variable of 0-1, wherein 1 represents that all parking positions of the bus station at the time t have no networked buses to park, otherwise, 0 is true, o (t) is a variable of 0-1, wherein 1 represents that the most upstream parking position of the bus station at the time t is occupied, otherwise, 0 is true, and alpha (a) ism(t) is a variable of 0-1, a value of 1 indicates that the mth internet bus has arrived at the bus station at the time t, and if the value of 0 is not the case, beta ism(t) is a variable of 0-1, wherein a value of 1 indicates that the mth internet bus has entered the bus station at the time t, and if the value of 0 is not the case, the mth internet bus enters the bus station;
constraint C8: if the rest arbitrary berth positions of the bus station except the most upstream berth position are occupied when the internet-connected bus arrives at the bus station, the free berth position of the upstream berth position of the internet-connected bus stop is represented by the following expression:
qm(t)·M+e(t)·M+o(t)·M+[1-αm(t)]·M+βm(t)·M+lm,n·M+[1-βn(t)]·M+γn(t)·M+Pm≥Pn+1
wherein, γn(t) is a variable of 0-1, wherein 1 represents that the nth internet bus leaves the bus station at the moment t, and if the value is 0, the opposite is true;
constraint C9: the auxiliary constraint expression is:
e(t)·M+fn·M+[1-βn(t)]·M+γn(t)·M+(1-hm,n)·M+βm(t)·M≥o(t),
e(t)·M+(1-fn)·M+[1-βn(t)]·M+γn(t)·M+o(t)≥1,
wherein f isnIs a variable of 0 to 1, the 1 represents the most upstream berth position of the nth internet bus, and if the value is 0, the reverse is true, FnIs a variable of 0 to 1, the value of 1 indicates that the nth internet bus is the last internet bus, and if the value of 0 is not the last internet bus, r isnIndicating the order of the nth networked bus to the bus station, LnIs a variable of 0-1, is 1, and means that the time when the nth internet bus leaves the bus station is later than the time when the nth internet bus leaves the bus station by more than 5 minutes, and is 0, otherwise,represents the time h of the nth networked bus when the bus should be out of the stationm,nThe variable is 0-1, the variable is 1, the mth internet bus arrives at the bus station right behind the nth internet bus, and the variable is 0 if the variable is not.
The service part of the bus station where the internet-connected buses stop at the bus station at present comprises constraint C1-constraint C9, and further comprises the following steps:
constraint C10: if the most upstream berth position of present bus station is occupied by occupation net connection bus, then the net connection bus that arrives waits occupation net connection bus gets into the bus station after leaving the bus station, and the expression is:
wherein the content of the first and second substances,the moment when the occupied internet bus leaves the bus station;
constraint C11: if any other parking position except the most upstream parking position of the current bus station is occupied by the occupied internet bus, the arrived internet bus stops at the vacant parking position at the upstream, and the expression is as follows:
wherein K is the number of the internet buses which stop in the current bus station for service.
The linear objective function is:
objective function related to all bus delays:
objective function related to passenger delay on all buses:
wherein, gnThe average number of passengers of the nth networked bus;
objective function related to the clearing time of all buses:
and in the step S3, based on the real-time parameters and the online bus arrival and stop management mathematical model, acquiring the stop sequence of the online buses, the arrival time of the online buses and the departure time of the online buses.
Compared with the prior art, the invention has the following advantages:
(1) the result is optimal: according to the problem characteristics, the sequence problem of the networked buses when arriving at the station and stopping is described by utilizing linear mathematical programming; according to the established linear mathematical programming characteristics, the programming model has an optimal value; compared with the existing optimization algorithm, the method can obtain the optimal stop sequence of the bus queue, effectively reduce the delay of stopping the internet buses, improve the stop efficiency and provide better bus service for passengers.
(2) The model can be solved: the model is simple linear programming, can be directly solved by using a linear programming solver and has certain solution; compared with the complicated solving process of nonlinear programming, the model established by the invention is convenient to solve and is beneficial to practical application.
(3) The model can be migrated: the mathematical programming model established by the invention has mobility and can be applied to the scenes that the real-time data of the bus can be obtained and the passenger getting requirement of the station can be obtained; when the model is applied to a specific bus station, the optimal bus arrival and stop sequence can be calculated only by inputting specific values of parameters such as the real-time position of the bus, the bus arrival service time and the like into the model.
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FIG. 1 is a flow chart of the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
Examples
The embodiment provides an internet bus arrival and stop management optimization method based on the following premises: the system comprises a bus station and a plurality of internet buses ready to arrive at the bus station for stop service, wherein the plurality of internet buses ready to arrive at the bus station for stop service do not allow overtaking when entering the bus station, and a bus lane is arranged on a road section where the bus station is located.
The method comprises the following steps:
step S1: establishing a mathematical model for managing the arrival and the stop of the internet buses;
step S2: acquiring linear constraint conditions of a networked bus arrival and stop management mathematical model and linear objective functions related to all bus delays, all bus passenger delays or all bus emptying time;
step S3: and performing the online bus arrival and stop management based on the real-time parameters and the online bus arrival and stop management mathematical model.
Specifically, the method comprises the following steps:
the real-time parameters comprise the number of the internet buses ready to arrive at the bus station for parking service, the number of berth positions contained in the bus station, whether the bus station has the service of the internet buses at the station at present, the highest speed and the lowest speed of the internet buses in running, the time of the internet buses from arriving at the bus station to arriving at the berth positions, the time of the internet buses from the berth positions to leaving the bus station completely, the minimum safe headway between the internet buses and the running information of the internet buses; the running information of the internet buses comprises the time when the internet buses should be out of the schedule, the stop time of the internet buses at the stop, the average number of passengers of the internet buses and the distance between the internet buses and the bus stop.
The linear constraint conditions comprise a service part for the current internet-free bus at the bus station and a service part for the current internet-connected bus at the bus station;
the service part of the current internet-free bus at the bus station comprises:
constraint C1: the running speed of the internet bus can not be higher than the highest speed and can not be lower than the lowest speed, and the mathematical expression is as follows:
wherein d isnThe distance between the nth internet bus and the bus station is expressed in the unit of (m),the unit is(s) which is the time when the nth internet bus arrives at the bus station, is a decision variable,the highest running speed of the internet bus is expressed in the unit of (m/s),the lowest running speed of the internet-connected buses is expressed in the unit of (m/s), N is the serial number of the current internet-connected buses, and N is the number of the internet-connected buses ready for arriving at the bus station to stop service;
constraint C2: the time when the internet-connected bus arrives at the berth position is at least longer than the time when the internet-connected bus arrives at the bus station, and the expression is as follows:
wherein, TinThe unit of the time for the internet bus to get into the bus from the bus station to the berth position is(s),the unit is(s) when the nth networked bus arrives at the berth position;
constraint C3: the time when the internet-connected bus completely leaves the bus station is at least longer than the time when the internet-connected bus arrives at the berth position, and the expression is as follows:
wherein S isnThe stop time of the nth internet bus is the unit of(s) and ToutThe time for the internet bus to get out of the bus from the parking position to completely leave the bus station,the unit is(s) at the moment when the nth internet bus completely leaves the bus station;
constraint C4: the berth position of networking bus is in bus station berth position, the berth number of bus station berth position adds 1 (should berth late to the berth position of networking bus is upstream berth position) from downstream to upper reaches in proper order from 1 (the expression is:
wherein, PnThe number of the nth networked bus is the number of the nth networked bus, and P is the number of the nth networked bus;
constraint C5: the time when different internet buses arrive at the respective berth positions at least has the minimum safe headway interval, and the expression is as follows:
wherein lm,nIs a variable of 0 to 1, the 1 represents that the mth internet bus arrives at the bus station earlier than the nth internet bus, otherwise, the T is 0secThe minimum safe headway is given as(s), and M is a large enough number;
constraint C6: the time that different networking buses leave the bus station is minimum safe headway at least interval, and the expression is:
constraint C7: if the most upstream parking position of the bus station is occupied when the internet-connected bus arrives at the bus station, the internet-connected bus needs to wait for the occupied internet-connected bus occupying the most upstream parking position to leave the bus station and then enter the bus station, and the expression is as follows:
wherein q ism(t) the number of networked buses which arrive at the bus station before the mth networked bus at the time t and do not arrive at the bus station, e (t) is a variable of 0-1, wherein 1 represents that all berth positions of the bus station at the time t have no networked buses to stop, and if 0, the opposite is true, o (t) is a variable of 0-1, and 1 represents that the bus station at the time tThe most upstream berth position of the traffic station is occupied, if the position is 0, otherwise, alpha ism(t) is a variable of 0-1, a value of 1 indicates that the mth internet bus has arrived at the bus station at the time t, and if the value of 0 is not the case, beta ism(t) is a variable of 0-1, wherein a value of 1 indicates that the mth internet bus has entered the bus station at the time t, and if the value of 0 is not the case, the mth internet bus enters the bus station;
constraint C8: if the rest arbitrary berth positions of the bus station except the most upstream berth position are occupied when the internet-connected bus arrives at the bus station, the free berth position of the upstream berth position of the internet-connected bus stop is represented by the following expression:
qm(t)·M+e(t)·M+o(t)·M+[1-αm(t)]·M+βm(t)·M+lm,n·M+[1-βn(t)]·M+γn(t)·M+Pm≥Pn+1
wherein, γn(t) is a variable of 0-1, wherein 1 represents that the nth internet bus leaves the bus station at the moment t, and if the value is 0, the opposite is true;
constraint C9: the auxiliary constraint expression is:
e(t)·M+fn·M+[1-βn(t)]·M+γn(t)·M+(1-hm,n)·M+βm(t)·M≥o(t),
e(t)·M+(1-fn)·M+[1-βn(t)]·M+γn(t)·M+o(t)≥1,
wherein f isnIs a variable of 0 to 1, the 1 represents the most upstream berth position of the nth internet bus, and if the value is 0, the reverse is true, FnIs a variable of 0 to 1, the value of 1 indicates that the nth internet bus is the last internet bus, and if the value of 0 is not the last internet bus, r isnIndicating the order of the nth networked bus to the bus station, LnIs a variable of 0-1, is 1, and means that the time when the nth internet bus leaves the bus station is later than the time when the nth internet bus leaves the bus station by more than 5 minutes, and is 0, otherwise,represents the time h of the nth networked bus when the bus should be out of the stationm,nThe variable is 0-1, the variable is 1, the mth internet bus arrives at the bus station right behind the nth internet bus, and the variable is 0 if the variable is not.
The current internet-connected bus stop service part of the bus stop at the bus stop comprises constraint C1-constraint C9 and further comprises the following steps:
constraint C10: if the most upstream berth position of present bus station is occupied by occupation net connection bus, then the net connection bus that arrives waits occupation net connection bus gets into the bus station after leaving the bus station, and the expression is:
wherein the content of the first and second substances,the moment when the occupied internet bus leaves the bus station;
constraint C11: if any other parking position except the most upstream parking position of the current bus station is occupied by the occupied internet bus, the arrived internet bus stops at the vacant parking position at the upstream, and the expression is as follows:
wherein K is the number of the internet buses which stop in the current bus station for service.
The linear objective function is:
objective function related to all bus delays:
objective function related to passenger delay on all buses:
wherein, gnThe average number of passengers in the nth internet bus is (people);
objective function related to the clearing time of all buses:
and step S3, acquiring the stop sequence of the internet buses, the arrival time of the internet buses and the departure time of the internet buses based on the real-time parameters and the arrival stop management mathematical model of the internet buses, and performing arrival stop management of the internet buses.
The embodiment has the following advantages:
the result is optimal: according to the problem characteristics, the sequence problem of the networked buses when arriving at the station and stopping is described by utilizing linear mathematical programming; according to the established linear mathematical programming characteristics, the programming model has an optimal value; compared with the existing optimization algorithm, the method can obtain the optimal parking sequence of the bus queue.
The model can be solved: the model is simple linear programming, can be directly solved by using a linear programming solver and has certain solution; compared with the complicated solving process of nonlinear programming, the model established by the invention is convenient to solve and is beneficial to practical application.
The model can be migrated: the mathematical programming model established by the invention has mobility and can be applied to the scenes that the real-time data of the bus can be obtained and the passenger getting requirement of the station can be obtained; when the model is applied to a specific bus station, the optimal bus arrival and stop sequence can be calculated only by inputting specific values of parameters such as the real-time position of the bus, the bus arrival service time and the like into the model.
Under the background that the internet of vehicles technology is continuously developed, vehicle-vehicle communication, vehicle-road communication and vehicle-infrastructure communication are more and more mature, the bus parking management is optimized based on the real-time data of the internet buses to be parked, the parking resources of the bus stations can be fully utilized, the delay of the internet buses in parking can be effectively reduced, the parking efficiency is improved, and higher-quality bus service is provided for passengers.
Claims (5)
1. An internet bus arrival and stop management optimization method is characterized by comprising the following steps:
step S1: establishing a mathematical model for managing the arrival and the stop of the internet buses;
step S2: acquiring linear constraint conditions of a networked bus arrival and stop management mathematical model and linear objective functions related to all bus delays, all bus passenger delays or all bus emptying time;
step S3: the online bus arrival and stop management is carried out based on the real-time parameters and the online bus arrival and stop management mathematical model;
the real-time parameters comprise the number of the internet buses ready to arrive at the bus station for parking service, the number of berth positions contained in the bus station, whether the bus station has the service that the internet buses stop at the station at present, the highest speed and the lowest speed of the internet buses in running, the time of the internet buses from arriving at the bus station to arriving at the berth positions, the time of the internet buses from the berth positions to leaving the bus station completely, the minimum safe headway between the internet buses and the running information of the internet buses;
the linear constraint conditions comprise a service part for the current internet-free bus stop of the bus station and a service part for the current internet-connected bus stop of the bus station;
the service part of the current internet-free bus at the bus station comprises:
constraint C1: the running speed of the internet bus can not be higher than the highest speed and can not be lower than the lowest speed, and the mathematical expression is as follows:
wherein d isnIs the distance between the nth internet bus and the bus station,the moment when the nth internet bus arrives at the bus station,is the highest speed of the internet bus running,the number of the internet buses to be served at the bus stop is N;
constraint C2: the time when the internet-connected bus arrives at the berth position is at least longer than the time when the internet-connected bus arrives at the bus station, and the expression is as follows:
wherein, TinThe time for the internet bus to get in from the bus station to the berth position is required,the moment when the nth internet bus reaches the berth position;
constraint C3: the time when the internet-connected bus completely leaves the bus station is at least longer than the time when the internet-connected bus arrives at the berth position, and the expression is as follows:
wherein S isnThe stop time length T of the nth internet busoutThe time for the internet bus to get out of the bus from the parking position to completely leave the bus station,the moment when the nth internet bus completely leaves the bus station;
constraint C4: the berth position of the internet bus is in the berth position of a bus station, the berth number of the berth position of the bus station sequentially adds 1 from downstream to upstream from 1, and the expression is as follows:
wherein, PnThe number of the nth networked bus is the number of the nth networked bus, and P is the number of the nth networked bus;
constraint C5: the time when different internet buses arrive at the respective berth positions at least has the minimum safe headway interval, and the expression is as follows:
wherein lm,nIs a variable of 0 to 1, the 1 represents that the mth internet bus arrives at the bus station earlier than the nth internet bus, otherwise, the T is 0secM is a sufficiently large number for the minimum safe headway;
constraint C6: the time that different networking buses leave the bus station is minimum safe headway at least interval, and the expression is:
constraint C7: if the most upstream parking position of the bus station is occupied when the internet-connected bus arrives at the bus station, the internet-connected bus needs to wait for the occupied internet-connected bus occupying the most upstream parking position to leave the bus station and then enter the bus station, and the expression is as follows:
wherein q ism(t) the number of networked buses which arrive at the bus station before the mth networked bus at the time t and do not arrive at the bus station, e (t) is a variable of 0-1, wherein 1 represents that all parking positions of the bus station at the time t have no networked buses to park, otherwise, 0 is true, o (t) is a variable of 0-1, wherein 1 represents that the most upstream parking position of the bus station at the time t is occupied, otherwise, 0 is true, and alpha (a) ism(t) is a variable of 0-1, a value of 1 indicates that the mth internet bus has arrived at the bus station at the time t, and if the value of 0 is not the case, beta ism(t) is a variable of 0-1, wherein a value of 1 indicates that the mth internet bus has entered the bus station at the time t, and if the value of 0 is not the case, the mth internet bus enters the bus station;
constraint C8: if the rest arbitrary berth positions of the bus station except the most upstream berth position are occupied when the internet-connected bus arrives at the bus station, the free berth position of the upstream berth position of the internet-connected bus stop is represented by the following expression:
wherein, γn(t) is a variable of 0-1, wherein 1 represents that the nth internet bus leaves the bus station at the moment t, and if the value is 0, the opposite is true;
constraint C9: the auxiliary constraint expression is:
wherein f isnIs a variable of 0 to 1, the 1 represents the most upstream berth position of the nth internet bus, and if the value is 0, the reverse is true, FnIs a variable of 0 to 1, the value of 1 indicates that the nth internet bus is the last internet bus, and if the value of 0 is not the last internet bus, r isnIndicating the order of the nth networked bus to the bus station, LnIs a variable of 0-1, is 1, and means that the time when the nth internet bus leaves the bus station is later than the time when the nth internet bus leaves the bus station by more than 5 minutes, and is 0, otherwise,represents the time h of the nth networked bus when the bus should be out of the stationm,nThe variable is 0-1, the variable is 1, the mth internet bus arrives at the bus station right behind the nth internet bus, and the variable is 0 if the variable is not.
2. The method as claimed in claim 1, wherein the driving information of the internet buses comprises the time of departure in the schedule of the internet buses, the stop time of the internet buses at the stop, the average number of passengers in the internet buses and the distance between the internet buses and the bus stop.
3. The method as claimed in claim 1, wherein the service section of the bus station where the internet-connected bus is currently located at the station comprises constraint C1-constraint C9, and further comprises:
constraint C10: if the most upstream berth position of present bus station is occupied by occupation net connection bus, then the net connection bus that arrives waits occupation net connection bus gets into the bus station after leaving the bus station, and the expression is:
wherein the content of the first and second substances,the moment when the occupied internet bus leaves the bus station;
constraint C11: if any other parking position except the most upstream parking position of the current bus station is occupied by the occupied internet bus, the arrived internet bus stops at the vacant parking position at the upstream, and the expression is as follows:
wherein K is the number of the internet buses which stop in the current bus station for service.
4. The method for optimizing the management of the arrival and the stop of the internet-connected buses as claimed in claim 1, wherein the linear objective function is as follows:
objective function related to all bus delays:
objective function related to passenger delay on all buses:
wherein, gnThe average number of passengers of the nth networked bus;
objective function related to the clearing time of all buses:
5. the method for optimizing the management of the networked buses for arriving at the station as claimed in claim 1, wherein in step S3, the order of the networked buses, the arrival time of the networked buses, and the departure time of the networked buses are obtained based on the real-time parameters and the mathematical model for managing the networked buses for arriving at the station.
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
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CN201911054958.8A CN110782694B (en) | 2019-10-31 | 2019-10-31 | Internet bus arrival and stop management optimization method |
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CN113470366B (en) * | 2021-09-01 | 2021-11-16 | 南通华豪巨电子科技有限公司 | Intelligent bus stop time prediction method and system based on big data |
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