CN108364464A - A kind of public transit vehicle hourage modeling method based on probabilistic model - Google Patents

A kind of public transit vehicle hourage modeling method based on probabilistic model Download PDF

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CN108364464A
CN108364464A CN201810107601.0A CN201810107601A CN108364464A CN 108364464 A CN108364464 A CN 108364464A CN 201810107601 A CN201810107601 A CN 201810107601A CN 108364464 A CN108364464 A CN 108364464A
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public transit
platform
time
transit vehicle
hourage
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CN108364464B (en
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马晓磊
代壮
陈汐
杜博文
于滨
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Beihang University
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions
    • G08G1/0125Traffic data processing
    • G08G1/0129Traffic data processing for creating historical data or processing based on historical data
    • 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
    • G06Q10/0639Performance analysis of employees; Performance analysis of enterprise or organisation operations
    • G06Q50/40
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/01Detecting movement of traffic to be counted or controlled
    • G08G1/0104Measuring and analyzing of parameters relative to traffic conditions
    • G08G1/0137Measuring and analyzing of parameters relative to traffic conditions for specific applications

Abstract

The public transit vehicle hourage modeling method based on probabilistic model that the invention discloses a kind of, belongs to ITS Information processing technology field.The method of the present invention includes:The operation data of public transit vehicle is acquired and is handled;It is fitted using offset lognormal distributions road trip time between platform;The interbehavior for considering the multi-line public transport vehicle with platform is modeled as a fifo queue to being lined up into platform, is modeled to bus platform berthing time based on probabilistic model;According to each road trip time and each platform berthing time, the route hourage of public transit vehicle is obtained, and analyzes distribution, expectation, variance and the reliability of hourage.The method of the present invention is suitable for public transit vehicle predicting travel time, and prediction result is accurate;The present invention can analyze the reason of hourage fluctuation, to promote Level-of-Services of Public Transit.

Description

A kind of public transit vehicle hourage modeling method based on probabilistic model
Technical field
The invention belongs to ITS Information processing technology field, specifically a kind of bus based on probabilistic model Hourage modeling method.
Background technology
Currently, in face of continuous increased Urban traffic demand, congestion in road, air pollution and limited land resource, Many cities start to carry out the trip theory in " public transport city ", and " public transport city ", which passes through, promotes urban public transport service water It is flat, it encourages people to reduce private car trip, then selects urban public transport trip.Public transit vehicle trip time dependability is public The key element of level of service altogether, on the one hand, trip time dependability is that traveler is attracted to select the important of bus trip Factor, predicting travel time are also the important component of intelligent passenger service system, such as punctuality rate prediction, delay time at stop prediction With arrival time prediction etc.;On the other hand, predicting travel time is the important indicator of bus operation, accurate predicting travel time Public transport company can be helped to formulate counter-measure in advance, promote public transit system efficiency of operation, reduce operation cost.
In terms of predicting travel time, the prior art is principally dedicated to the pre- of private car trip time dependability and fluctuation It surveys, such as active path planning, E.T.A estimation, analysis foundation are road section or path.However, public transit vehicle trip Row time and private car hourage are dramatically different, and in addition to road trip time, public transit vehicle hourage is also by passenger Garage is the influence of (i.e. platform berthing time), and when platform is stopped, public transit vehicle needs to be lined up on platform, waiting Passengen It gets off and drives into major trunk roads from platform, these processes are all the important component of public transport hourage, and are related to same stand The interbehavior of platform multi-line public transport vehicle.
In addition, the prior art mainly by OLS (common least square method), SVR (support vector regression), neural network and The model predictions private car hourage such as deep learning, it is predicted value to obtain result;For public transit vehicle hourage is analyzed, These Predicting Techniques cannot analyze the size and reason of the fluctuation of public transport hourage, cannot analyze the behavior of getting on the bus of passenger, cannot Consider the interbehavior with multi-line public transport vehicle between platform.
Invention content
The purpose of the present invention is to overcome above-mentioned the deficiencies in the prior art, provides a kind of public transit vehicle trip based on probabilistic model Row time modeling method, to analyze the reliability of the public transport hourage under different traffic and passenger demand state.
A kind of public transit vehicle hourage modeling method based on probabilistic model provided by the invention, is as follows:
Step 1, the operation data of all public transit vehicles of circuit to be studied is acquired, including:It is driven out to the time from inception point, reaches Each intermediate platform time is driven out to each intermediate platform time, the time of reaching terminal and each platform and gets on the bus number;
Step 2, it is fitted using offset lognormal distributions road trip time between platform;
Step 3, the process that platform is entered to public transit vehicle models, which is:It is lined up into platform, waiting Passengen It gets on or off the bus, drive into major trunk roads from platform;It is modeled as first in first out (FIFO) queue to being lined up into platform, it is contemplated that with station The interbehavior of the multi-line public transport vehicle of platform;Passenger getting on/off is calculated according to passenger getting on/off number to take;Use normal distribution Fitting public transit vehicle drives into the time of major trunk roads from platform.Public transit vehicle platform berthing time is obtained, public transit vehicle platform is stopped Time is queuing timePassenger getting on/off time tbWith drive into the sum of major trunk roads time β.
Step 4, the road trip time and platform berthing time obtained according to step 2 and step 3, calculates public transit vehicle Route hourage, and analyze distribution, expectation, variance and the reliability of hourage.
The route hourage T of public transit vehicle be all road trip times and all the sum of platform berthing times, It is expressed as:
Wherein, IRFor all sections of circuit to be studied, SRFor all bus platforms of circuit to be studied, tiFor bus Hourage on the i of section, tsFor public transit vehicle platform s berthing time.
Compared with the existing technology, the advantages and positive effects of the present invention are:
(1) different from private car travel time prediction method, the method for the present invention not only allows for road trip time, also examines Public transit vehicle platform berthing time is considered, this makes more to be applicable in public transit vehicle predicting travel time.
(2) present invention models public transport hourage by probabilistic model, and section trip is analyzed using modelling method of probabilistic The influence of row time and passenger loading behavior to hourage, with multi-line public transport vehicle interbehavior between platform, and the trip of obtaining The probability analysis of row time, in addition to forecast function, additionally it is possible to which the reason of analyzing hourage fluctuation, analysis hourage is reliable Property, this is most important to promoting Level-of-Services of Public Transit and efficiency of operation.
(3) present invention models Public Transit Bus Stopping platform process, analyzes the interaction of same platform multi-line public transport vehicle Effect, this, which is other prediction techniques, to consider.
Description of the drawings
Fig. 1 is the flow diagram of the public transit vehicle hourage modeling method of the present invention;
Fig. 2 is that the method for the present invention is the schematic diagram that public transit vehicle platform stops modeling;
Fig. 3 is public bus network schematic diagram in embodiment;
Fig. 4 is models fitting result schematic diagram in embodiment.
Specific implementation mode
Below in conjunction with drawings and examples, the present invention is described in further detail.
The present invention provides a kind of public transit vehicle hourage modeling method based on probabilistic model, and flow is as shown in Figure 1, packet Include following steps:
Step 1) data acquire and processing.Data used include bus IC card brushing card data and bus GPS data, to institute It studies all operation public transit vehicles of circuit and extracts following information:It is driven out to the time from inception point, arrival each intermediate platform time, sails Go out each intermediate platform time, the time of reaching terminal, each platform are got on the bus number.For the interaction for studying with platform multi-line public transport vehicle Situation, it is also necessary to which, by the different circuit public transit vehicle operation states of all intermediate platforms, required extraction information is same as above.
Step 2) calculates road trip time between platform.First, the section trip between platform is distributed with offset lognormal The row time is fitted, and lognormal distributions can be fitted the situation of road trip time distribution peaks Forward, and increased inclined Shifting amount can portray public transit vehicle road-section average hourage.
It is assumed that road trip time obeys offset lognormal distributions between platform, road trip time can calculate between platform For:
tii+exp(μiizi) (1)
Wherein, tiIndicate hourage of the public transit vehicle on the i of section, i is positive integer;λiIndicate the unimpeded row in the section The time is sailed, is distributions shift amount;exp(μiizi) indicate the part beyond unimpeded running time, lognormal distributions are obeyed, Wherein μi、σiRespectively exceed the mean value and variance of running time, ziFor standardized normal distribution.According to above formula, section i trips can be obtained The row time it is expected E (ti) and variance Var (ti) be respectively:
Step 3), which is lined up, enters platform time modeling.As shown in Fig. 2, when public transit vehicle drives into platform, it is understood that there may be its He is circuit public transit vehicle upper visitor or lower visitor just in platform, needs that All other routes public transit vehicle on-board and off-board is waited for complete and sail at this time When going out platform, which could enter platform, which can be described as a fifo queue.
If platform serial number s ∈ SR, SRFor the bus platform set of circuit to be studied, s is positive integer;If removing line to be studied The collection of other all public bus networks for crossing platform s is combined into L outside roads, when the public transit vehicle of circuit to be studied drives into platform s The Probability p of public transit vehicle from circuit l also in the queuelsObey bernoulli distribution as follows:
Wherein,For according to the empirical two circuits public transit vehicle collision probability of operation, MsIt is to be studied The bus of circuit and circuit l are in the number that meets of platform s, NsThe number of platform s is crossed for the public transit vehicle of circuit to be studied,It is 1 for parameter,Bernoulli distribution.The time that then public transit vehicle is waited in lineFor:
Wherein tlsIn the boarding and alighting time of platform s and it is driven out to the sum of platform time for circuit l public transit vehicles.
Step 4) passenger getting on/off, which takes, to be calculated.It is assumed that public transit vehicle spends time α above and below everyone, then on public transit vehicle Lower visitor's time will depend on the maximum number of upper visitor and lower visitor, therefore boarding and alighting time tbIt can be calculated as
WhereinThe number respectively got off and got on the bus.
Step 5) public transit vehicle drives into major trunk roads time match.According to previous research conclusion, present invention normal distribution Fitting bus drives into the time β of major trunk roads, as follows:
Wherein μmIt is the average time that public transit vehicle drives into major trunk roads, σmFor the variance of the time.
Step 6) public transit vehicle platform berthing time summarizes.As shown in Fig. 2, public transit vehicle platform berthing time is when being lined up Between, the passenger getting on/off time and the sum of drive into the major trunk roads time, same platform multi-line is considered in queuing time calculating process The interbehavior of public transit vehicle, passenger getting on/off time consider passenger loading behavior, and public affairs are considered driving into major trunk roads part Hand over the interbehavior of vehicle and major trunk roads vehicle, the total berthing time t of public transit vehiclesIt can calculate as follows:
The expectation of platform berthing time and variance are respectively
Step 7) public transit vehicle route hourage is fitted.Route hourage T is road trip time TLStop with platform By time TSThe sum of, traditional private car travel time prediction method mainly considers road trip time, therefore cannot analyze public affairs The platform of vehicle is handed over to stop behavior.
Wherein, IRBy research circuit all sections, SRBy research circuit all bus platforms.
Route hourage it is expected and variance is respectively
Wherein, ρijThe hourage related coefficient of section i and section j is indicated, if the velocity vector of section i and section j point It Wei not XiAnd Xj, then ρijIt is represented by:
Embodiment
Illustrate the public transit vehicle hourage the present invention is based on probabilistic model with reference to an example as shown in Figure 3 Modeling method, it is specific as follows:
1), data acquire.As shown in figure 3,68 road row public bus network of the Hangzhou selection 2017.05.01 to 2017.05.31 As research object, 68 tunnels amount to 11 platforms, 11.73 kilometers of overall length.Extract 68 tunnels all IC card swipe the card record and GPS note Record, it includes field that IC card, which is swiped the card and recorded,:Card number, charge time, circuit ID, vehicle-mounted machine ID, GPS data include following field:Vehicle Carrier aircraft ID, the time, longitude, latitude, station identification, in-track platform mark are driven out to.It extracts simultaneously all by 68 road intermediate platforms Public bus network data, data format is as above.
2) time leaving from station, is extracted and number of getting on the bus.Arrival time be calculated as the first time occur in-track platform mark when Between;Time leaving from station is the time of mark leaving from station occur for the first time;Number of getting on the bus is that two continuous platforms reach in identified time section Swipe the card record number.Other are same as above by the circuit extracting method of intermediate platform.
3), road trip time is fitted between platform.68 k-path partitions are 10 sections by 11 bus platforms, with offset Lognormal fitting of distribution results are as shown in table 1 below:
1 road trip time of table
It is examined by Kolmogorov-Smirnov (KS), it is all to fit within 0.05 level significantly, illustrate present invention side The feasibility of method.
4) queuing time that, enters the station is fitted.By taking the 10th platform " crossings Wen Hui " as an example, circuit 135,187,535,2,105, 84 and 90 all pass through the platform;When 68 tunnels reach the platform, the probability that All other routes are just being got on or off the bus in the platform waiting Passengen, And the number of getting on the bus that is averaged of each circuit can count as shown in table 2 below:
Enter the station 2 platform of table " crossings Wen Hui " queuing time
It is assumed that getting on or off the bus, everyone takes 3.23 seconds, and 68 tunnels can be calculated as in the queuing time of the platform:3.23* (4.3%* 3.49+9.2%*3.58+2.0%*2.96+5.4%*2.67+4.2%*1.6+3.6%*1.7+4.4 %*2.77)=6.24s.
5), pick-up time is fitted per capita.Present invention least square regression OLS fitting boarding and alighting time and get on the bus number it Between relationship.Gained relational expression is y=3.23x+7.21, R2=0.346, regression coefficient is horizontal notable 0.05.
6) major trunk roads, are driven into and take fitting.Major trunk roads are driven into normal distribution fitting to take, and obtain following relational expression
β~N (9.74,1.552) (12)
7), platform berthing time calculates.Platform berthing time is queuing time, passenger getting on/off time and drives into major trunk roads The sum of time.Result of calculation is as shown in table 3 below:
The platform berthing time of 3 68 road vehicles of table
8), route hourage is estimated.Route hourage is the sum of road trip time and platform berthing time.
Therefore the route hourage of 68 road car is desired for 1333.61+216.72=1550.33s, the route of 68 road car The variance of hourage is 264.39+79.99=344.38s.It is sampled by bootstrap, route hourage can be obtained Distribution, Fig. 4 shows the route hourage of fitting and true route hourage.It can be seen from the figure that utilizing this The route hourage of inventive method fitting and difference of true route hourage are smaller, therefore, can utilize present invention side Method relatively accurately analyzes the reliability of public transport hourage under different traffic and passenger demand state, public for being promoted Level of service and efficiency of operation altogether.

Claims (8)

1. a kind of public transit vehicle hourage modeling method based on probabilistic model, which is characterized in that include the following steps:
Step 1, the operation data of all public transit vehicles of circuit to be studied is acquired, including:From inception point be driven out to the time, reach it is each in Between the platform time, be driven out to each intermediate platform time, the time of reaching terminal and each platform and get on the bus number;
Step 2, it is fitted using offset lognormal distributions road trip time between platform;
Step 3, the process that platform is entered to public transit vehicle models, which is:It is lined up into above and below platform, waiting Passengen Vehicle drives into major trunk roads from platform;It is modeled as a fifo queue calculating bus queuing time, root to being lined up into platform According to passenger getting on/off number calculate the passenger getting on/off time, with normal distribution be fitted public transit vehicle from platform drive into major trunk roads when Between;Public transit vehicle platform berthing time is obtained, public transit vehicle platform berthing time is queuing timePassenger getting on/off time tb With drive into the sum of major trunk roads time β;
Step 4, the route hourage of public transit vehicle is obtained, and analyzes distribution, expectation, variance and the reliability of hourage;
Wherein, the route hourage T of public transit vehicle be all road trip times and all the sum of platform berthing times, It is expressed as:IRFor all sections of circuit to be studied, SRFor all bus platforms of circuit to be studied, ti For hourage of the public transit vehicle on the i of section, tsFor public transit vehicle platform s berthing time.
2. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1, feature exist In in the step 1, the operation data of the public transit vehicle of the different circuits of all intermediate platforms is passed through in also acquisition.
3. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1, feature exist In, in the step 2, hourage t of the public transit vehicle on the i of sectioniIt calculates as follows:
tii+exp(μiizi);
Wherein, λiIt indicates the unimpeded running time in the section, is distributions shift amount;exp(μiizi) indicate beyond it is unimpeded when driving Between part, obey lognormal distribution, wherein μi、σiRespectively exceed the mean value and variance of running time, ziJust for standard State is distributed;
Obtain the expectation E (t of section i houragesi) and variance Var (ti) be respectively:
4. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1, feature exist In in the step 3, calculating public transit vehicle queuing time, method is as follows:
If to the bus platform s of circuit to be studied, other public bus network collection for entering the platform are combined into L in addition to circuit to be studieds, The Probability p of public transit vehicle also in the queue when the public transit vehicle of circuit to be studied drives into platform s from circuit llsFor:
Wherein,For according to the public transit vehicle collision probability for runing empirical circuit to be studied and circuit l, Ms It is the bus of circuit to be studied and circuit l in the number that meets of platform s, NsPublic transit vehicle for circuit to be studied crosses platform The number of s,It is 1 for parameter,Bernoulli distribution;
The time that then public transit vehicle is lined upIt is expressed as:
Wherein, tlsFor circuit l public transit vehicle platform s boarding and alighting time and be driven out to the sum of platform time.
5. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1 or 4, feature It is, in the step 3, the method for calculating the passenger getting on/off time is as follows:
Everyone is arranged, and public transit vehicle spends the time for α up and down, then public transit vehicle boarding and alighting time depends on upper objective and lower visitor's Passenger getting on/off is taken t by maximum numberbFor:
Wherein,Respectively in the number of platform s got off and got on the bus.
6. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1 or 4, feature It is, in the step 3, public transit vehicle drives into the time β of major trunk roads from platform, is fitted with normal distribution, indicates as follows:
Wherein, μm、σmIt is average time and the time variance that public transit vehicle drives into major trunk roads respectively.
7. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1 or 4, feature It is, in the step 3, public transit vehicle platform berthing time tsIt is as follows:
The expectation of platform berthing time and variance difference are as follows:
8. a kind of public transit vehicle hourage modeling method based on probabilistic model according to claim 1 or 4, feature It is, in the step 4,
Route hourage it is expected that E (T) is:
Route hourage variance Var (T) is:
Wherein, ρijThe related coefficient for indicating section i and section j, if the velocity vector of section i and section j are respectively XiAnd Xj, then ρijIt is represented by:
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CN115798211A (en) * 2022-11-21 2023-03-14 长安大学 Control method, system, equipment and medium for preventing internet public transport from being disconnected and mixed
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CN116704763A (en) * 2023-06-13 2023-09-05 大连海事大学 Intelligent bus team dynamic formation method considering bus operation scheme
CN116704763B (en) * 2023-06-13 2023-12-05 大连海事大学 Intelligent bus team dynamic formation method considering bus operation scheme

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