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CN108417039B - A kind of signalized intersections transport need evaluation method that traffic flow composition influences - Google Patents

A kind of signalized intersections transport need evaluation method that traffic flow composition influences Download PDF

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CN108417039B
CN108417039B CN201810440018.1A CN201810440018A CN108417039B CN 108417039 B CN108417039 B CN 108417039B CN 201810440018 A CN201810440018 A CN 201810440018A CN 108417039 B CN108417039 B CN 108417039B
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姚荣涵
张文松
孙立
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Dalian University of Technology
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Abstract

The invention belongs to technical field of control over intelligent traffic, a kind of signalized intersections transport need evaluation method that traffic flow composition influences is suitable for main line and area road system.Consider a variety of type of vehicle and motorcade dispersion characteristic, wagon detector is respectively set in crossing inlet road stop line and its upstream section, and multiple traffic flow data collection are thus obtained, collection proposes motorcade dispersion coefficient scaling method based on these data, and then establishes transport need appraising model.In addition, giving the technical application process of above-mentioned model and method.By computer programming software MATLAB and traffic simulation software VISSIM, use case illustrates technical application process.The result shows that for the traffic flow that multiple types vehicle is constituted, new method can accurately estimate the group transport need of signalized intersections lane.

Description

A kind of signalized intersections transport need evaluation method that traffic flow composition influences
Technical field
The invention belongs to technical field of control over intelligent traffic, are related to a kind of signalized intersections traffic that traffic flow composition influences Estimated demand method.
Background technique
With the rapid development of social economy, vehicle guaranteeding organic quantity, which is continuously increased, causes Urban Traffic Jam Based increasingly tight It is high.Intersection signal timing designing is a kind of effective way for alleviating urban traffic blocking.As the basis of signal timing optimization, Traffic demand data accurately whether determine whether signal time distributing conception reliable.
In recent years, the research achievement both at home and abroad about transport need estimation can be concluded are as follows: (1) from macroscopically, according to quadravalence The year traffic demand or day transport need of every section, each intersection in stage mode and OD Backstipping design estimation city road network. Four stage models need large-scale traffic study to obtain origin and destination trip data, often expend a large amount of human and material resources and Financial resources；Compared with the trip data of origin and destination, the road section traffic volume flow data in OD Backstipping design are easier to obtain.(2) from microcosmic On, there is scholar that location data and ArcGIS software is combined to obtain the hour transport need in every section in city road network, can open up Show the difference of transport need between different zones in city；There are also scholars to utilize vehicle in Road Detection device data estimation city road network The transport need of road group and section, the time scale of estimation result are smaller than one hour, more can meticulously reflect that traffic needs The time-varying characteristics asked.These researchs have ignored influence of the signal timing dial to link travel time mostly.
In general, transport need has stronger time-varying characteristics.For signal control, effectively to meet peak period traffic need It asks, it is particularly important accurately to grasp its temporal behavior.For main line or area road system, the transport need in downstream inlet road is depended on Transport need in upstream inlet road.Here entrance driveway transport need refers to that it reaches vehicle flowrate, which can be examined by setting Section is surveyed to obtain.If detecting section to be arranged in stop line upstream compared with distant positions, because downstream process is driven towards from upstream in fleet In can occur motorcade dispersion phenomenon, gained reaches the change curve of vehicle flowrate and the change curve of actual traffic demand is not kissed It closes；It is arranged near stop line if detecting section, breaks because signal controls the vehicle queue length to be formed and tends to exceed to detect Face, measured vehicle flowrate is substantially to sail out of vehicle flowrate, thus cannot reflect true transport need at this time.Work as modelled signal When timing scheme, usually using entrance driveway actual measurement vehicle flowrate as its transport need in practice, however this way is not scientific.This Outside, traffic flow is usually made of multiple types vehicle, and different type vehicle causes its discrete feature because of ride characteristic difference With very big difference.In consideration of it, being directed to main line and area road system, the present invention proposes a kind of signal that traffic flow composition influences Intersection traffic estimated demand method.
Summary of the invention
The present invention provides a kind of signalized intersections lane group transport need evaluation method towards main line and area road system, The traffic demand data estimated can be used for signal timing optimization.
Technical solution of the present invention:
A kind of signalized intersections transport need evaluation method that traffic flow composition influences, first stops in signalized intersections entrance driveway Only the wagon detector for obtaining each stock traffic flow data is respectively set at line and its upstream section, and is based on data acquired calibration vehicle Team's coefficient of dispersion, then estimates the group transport need of intersection lane again, the specific steps are as follows:
(1) data set definition
A is the relational matrix of any two intersection i and i ' in road network；Α=(aii′)I×I, i, i ' ∈ { 1,2 ..., I }, I For intersection number；When intersection i ' is adjacent with i, aii′=1, otherwise, aii′=0；
Bii′For the relational matrix of intersection i entrance driveway j and intersection i ' exit ramp k '；j∈{1, 2,…,Ji, k ' ∈ { 1,2 ..., Ki′, JiFor intersection i entrance driveway number, Ki′For intersection i ' exit ramp number；When intersection i into When mouth road j and intersection i ' exit ramp k ' belong to same a road section, bjk′=1, otherwise, bjk′=0；
CiFor the relational matrix of intersection i inner outlet road k and wagon flow m；k∈{1,2,…,Ki, m ∈{1,2,…,Mi, Ki、MiRespectively the exit ramp number of intersection i, wagon flow number；When wagon flow m is when exit ramp k has right-of-way, ckm=1, otherwise, ckm=0；
For the distance between intersection i ' entrance driveway j ' stop line and the upstream intersection i entrance driveway j section, j ' ∈ {1,2,…,Ji′, Ji′For intersection i ' entrance driveway number；
For the distance between intersection i ' entrance driveway j ' stop line and intersection i entrance driveway j stop line；
Desired speed when i is driven towards by intersection i ' for w class vehicle；
For the expectation from intersection i ' entrance driveway j ' stop line to the w class vehicle of the intersection upstream i entrance driveway j section Running time,
For the desired row from intersection i ' entrance driveway j ' stop line to the w class vehicle of intersection i entrance driveway j stop line The time is sailed,
A is integer variable,W ∈ { 1,2 ..., W }, W are type of vehicle Number, ceil are to round up, and max is to be maximized；
T is analysis phase duration；
To pass through in intersection i wagon flow m w class vehicle all sampling intervals and stopping for period (t, t+T) The only set of the actual vehicle number of line；
To pass through in intersection i wagon flow m w class vehicle all sampling intervals and stopping for period (t-a, t) The only set of the actual vehicle number of line；
For for period (t-a, t+T), in intersection i wagon flow m w class vehicle all sampling intervals Pass through the set of the actual vehicle number of stop line；
For for period (t-a, t+T), intersectionEach stock wagon flow w class vehicle all sampling intervals The set of the interior actual vehicle number by stop line；For intersection i entrance driveway j, work as aii′=1 and bjk′When=1, note Intersection at this timeFor the upstream intersection of entrance driveway j；
To lead in intersection i entrance driveway j w class vehicle all sampling intervals for period (t, t+T) Cross the set of the actual vehicle number of upstream section；
To pass through in intersection i entrance driveway j w class vehicle all sampling intervals for period (t-a, t) The set of the actual vehicle number of upstream section；
For for period (t-a, t+T), in intersection i entrance driveway j w class vehicle all sampling intervals Pass through the set of the actual vehicle number of upstream section；
(2) Loop detector layout
Wagon detector is laid in the entrance driveway stop line of each intersection every and its upstream section, stop line and its upstream are disconnected The maximum queue length of entrance driveway where the distance between face is greater than peak period；According toWithIt is calculatedInto And obtain a value；Sailing out of in the per share wagon flow of the section all kinds of vehicles all sampling intervals is obtained using wagon detector at stop line Vehicle number, i.e. data setIt is all that the section various types of vehicles is obtained using entrance driveway upstream section detector Arrival vehicle number in sampling interval, i.e. data set
In formula: SijFor the distance between intersection i entrance driveway j upstream section and its stop line；βii′For distance coefficient, βii′ ∈(0,1)；Di′,iFor the entrance driveway stop line spacing for intersection i entrance driveway j, intersection i ' and i；
(3) data processing
(3.1) detector data at stop line
Using formula (2) to data setIt is handled, obtains data set WithUsing formula (3) to data setIt is handled, is obtainedIt is right using formula (4) Data setIt is handled, obtains data set
In formula:For intersection i wagon flow m in period z w class Vehicle passes through the actual vehicle number of stop line；For data sampling interval；For magnitude of traffic flow estimated intervals,ForIntegral multiple； Mi′For the wagon flow number of intersection i '；For period (t-a, t+T) interior intersection i ' wagon flow m ' w class vehicle institute Have in the sampling interval through the set of the actual vehicle number of stop line；ck′m′For the pass of intersection i ' inner outlet road k ' and wagon flow m ' It is identifier, when wagon flow m ' is when exit ramp k ' has right-of-way, ck′m′=1, otherwise, ck′m′=0；
(3.2) upstream section detector data
Using formula (5) to data setIt is handled, obtains data setWithUsing formula (6) to data setIt is handled, is obtained
In formula:For intersection i entrance driveway j, w class vehicle passes through the actual vehicle number of upstream section in period z；
(4) coefficient of dispersion is demarcated
To estimate transport need, need to demarcate the correction factor α in transport need appraising modelw, specific scaling method is such as Under:
Pass through the vehicle number of upstream section using w class vehicle in formula (7) estimation period zαwIt is interval with 0.01 1 is got from 0, seeks to makeWithAverage relative error absolute value deltaijThe smallest correction factorSo Afterwards, correction factor is obtained using the coefficient and formula (9)
In formula:For intersection i ' Wagon flow m ' is in the periodInterior w class vehicle passes through the actual vehicle number of stop line；Respectively hand over Prong i entrance driveway j w class vehicle in period z, z-1 passes through the estimation vehicle number of upstream section；For from intersection i ' respectively into Mouthful road stop line to the intersection upstream i entrance driveway j section w class vehicle coefficient of dispersion；αwFor the correction factor of w class vehicle, αw ∈[0,1]；For from each entrance driveway stop line of intersection i ' to the w class vehicle of the intersection upstream i entrance driveway j section when driving Between correction factor,For from each entrance driveway stop line of intersection i ' to the w class garage of intersection i entrance driveway j stop line The correction factor of time is sailed,Number of segment when Z is；For regulation coefficient,
(5) transport need appraising model
Utilize correction factorWith the transport need of formula (10) estimation per share wagon flow of intersection i entrance driveway j
In formula:For intersection i entrance driveway j Wagon flow m passes through the estimation vehicle number of stop line in period z；Intersection i entrance driveway j wagon flow m is in period z-1 W class vehicle passes through the estimation vehicle number of stop line；It is intersection i ' wagon flow m ' in the periodInterior w class Vehicle passes through the actual vehicle number of stop line；χijmFor wagon flow m ratio shared in all wagon flows of intersection i entrance driveway j； For the coefficient of dispersion from each entrance driveway stop line of intersection i ' to the w class vehicle of intersection i entrance driveway j stop line.
Beneficial effects of the present invention: in main line and area road system, for multiple types vehicle constitute traffic flow, The present invention can accurately estimate the group transport need of signalized intersections lane, and the transport need estimated is used for signal timing optimization It can get good effect.
Detailed description of the invention
Fig. 1 is that schematic diagram is arranged in the crossway of the main stem group and its lane.
Fig. 2 is that schematic diagram is arranged in region intersection group and its lane, wherein equal tri- tunnel Ke Wei in each intersection, four tunnels or five tunnels Intersection, and canalization 1 short lane of turning left, 1 left-hand rotation dedicated Lanes, 2 Through Lanes, 1 straight right side are mixed on every entrance driveway Runway.For every entrance driveway, can without or have 1 or more the short lane of left-hand rotation or left-hand rotation dedicated Lanes, can not have Or have 1 or 2 or more Through Lane, can also there can also be 1 or 1 or more right-hand rotation without straight right mixed runway Dedicated Lanes.In addition, Di-1,iFor the entrance driveway stop line spacing of up direction intersection i-1 and i, Di,i+1For up direction friendship The entrance driveway stop line spacing of prong i and i+1, Di+1,i+2Between the entrance driveway stop line of up direction intersection i+1 and i+2 Away from Di+2,i-1For the entrance driveway stop line spacing of up direction intersection i+2 and i-1.Here by being handed over west to Dong Fangxiangwei main line The up direction of prong group is counterclockwise the up direction of region intersection group.
Fig. 3 is that schematic diagram is arranged in intersection detector, and by taking the i of intersection as an example, entrance driveway starts westerly, in the direction of the clock It is M1, M3, M5, M7 by left turn lane group number consecutively, the straight right lane group number consecutively to conflict with it is M2, M4, M6, M8. Detector number includes 4-digit number in figure, and the first bit digital is entrance driveway number, and west, north, east, south entrance driveway number are respectively 1,2,3,4；Second-order digit is detector location number, and when it is arranged at stop line, number is 0, is arranged in upstream section When number be 1；Third bit digital is traffic direction number, is turned left, straight trip, directly right, flow direction of turning right number respectively 1,2,3,4, It is 0 regardless of number when flowing to；4-digit number is serial number, is numbered from inboard to outside.For example, 1011 exist for setting Western entrance driveway turns left the number of detector at short lane stop line.SijFor intersection i entrance driveway j upstream section and its stop line it Between distance, entrance driveway starts westerly, in the direction of the clock j number consecutively be 1,2,3,4.To three-way intersection, entrance driveway number Less than 4, detector will be reduced；To five tunnel intersections, entrance driveway number is more than 4, and detector will increase.
Fig. 4 is intersection signal phasing scheme schematic diagram, is made of eight phases, includes two rings and two barriers.
Fig. 5 is case intersection and its schematic diagram is arranged in lane, and 2 left-hand rotation dedicated Lanes, 1 are canalized on every entrance driveway Through Lane, 1 straight right mixed runway, U, D are respectively upstream and downstream intersection, D hereU,DFor upstream and downstream intersection west into Mouth road stop line spacing, SD1For the distance between the western entrance driveway upstream section of downstream intersection and its stop line.
Fig. 6 is case intersection signal phasing scheme schematic diagram, and intersection U, D are all made of the signal phase scheme.
Specific embodiment
Below in conjunction with attached drawing and technical solution, a specific embodiment of the invention is further illustrated.
1, traffic flow data obtains
Two crossing systems are constructed, each intersection channelizing scheme, signal phase scheme distinguish as shown in Figure 5,6, entrance driveway Length is 50m, and road grade is 0, and wherein the western entrance driveway stop line spacing in upstream and downstream intersection is 600m.To intersection U, D, west, north, east, south entrance driveway number are respectively 1,2,3,4, and west, north, east, South Exit road number are respectively 1,2,3,4；West, North, east, the left-hand rotation of south entrance driveway, straight trip, right-hand rotation wagon flow number be respectively 11,12,13,21,22,23,31,32,33,41,42, 43.Assuming that the saturation volume rate of left turn lane, Through Lane, right-turn lane is respectively 1810,1850,1810pcu/h.Table 1 is should The magnitude of traffic flow is preset in each crossing inlet road in system, it is assumed that consisting of 80% compact car, 10% in-between car, 10% large size Vehicle.Table 2 is the per share wagon flow proportion in each crossing inlet road.To estimate every class vehicle in each stock wagon flow of the western entrance driveway of intersection D Transport need for, introduce a specific embodiment of the invention.
Preset the magnitude of traffic flow in each crossing inlet road of table 1
The 2 per share wagon flow proportion in each crossing inlet road of table
2, signal time distributing conception
Table 3 gives the common period duration of signal time distributing conception, phase shows green time, intersection phase difference, respectively Phase complete red time, yellow time are respectively 2s, 3s.
3 signal time distributing conception of table
3, coefficient of dispersion is demarcated
Analysis phase duration T=3600s is set, successively value is 1,2,3 to w, respectively represents compact car, in-between car, large car. For signal time distributing conception shown in traffic flow data shown in table 1,2 and table 3, is simulated and handed over using traffic simulation software VISSIM Through-flow operation conditions.In simulation model, compact car, in-between car, large car desired speed be 50km/h, DU,DFor 600m.For Make SD1Greater than the maximum queue length of the western entrance driveway peak period intersection D, βUD2/3 is taken, S is obtainedD1=400m.According to the tool in section Body situation, in caseTake 0.05.Assuming that simulation time is 4500s, data sampling interval5s is taken, between magnitude of traffic flow estimation Every60s is taken,Data acquire the period as 840~4500s.Table 4 For the relational matrix of intersection U, D.For the western entrance driveway of intersection D, traffic flow data collection is obtained using metadata acquisition tool, into And correction factor is obtained according to parameter calibration process
The relational matrix of table 4 intersection U, D
4, transport need is estimated
Entrance driveway western for intersection D is based on above-mentioned correction factor, can estimate 900~4500s of period according to formula (10) The transport need of various types of vehicles in interior each stock wagon flow.Here using 1min as interval estimate stop line at turn left, straight trip, turn right it is small Type vehicle, in-between car, large car arrival number, the results are shown in Table 5.
The western entrance driveway transport need of 5 intersection D of table

Claims (1)

1.一种交通流组成影响的信号交叉口交通需求估算方法，先在信号交叉口进口道停止线处及其上游断面分别设置获取各股交通流数据的车辆检测器，并基于所获数据标定车队离散系数，然后再估算交叉口车道组交通需求，其特征在于，具体步骤如下：1. A method for estimating traffic demand at signalized intersections influenced by the composition of traffic flow. First, vehicle detectors to obtain data of each traffic flow are set up at the stop line of the entrance road of the signalized intersection and its upstream section, and calibrated based on the obtained data. Fleet dispersion coefficient, and then estimate the traffic demand of the intersection lane group, which is characterized in that the specific steps are as follows: (1)数据集定义(1) Data set definition A为路网中任意两个交叉口i和i′的关系矩阵；Α＝(aii′)I×I，i,i′∈{1,2,…,I}，I为交叉口数；当交叉口i′与i相邻时，aii′＝1，否则，aii′＝0；A is the relationship matrix of any two intersections i and i′ in the road network; A=(a ii′ ) I×I , i,i′∈{1,2,…,I}, I is the number of intersections; when When the intersection i' is adjacent to i, a ii' =1, otherwise, a ii' =0; Bii′为交叉口i进口道j和交叉口i′出口道k′的关系矩阵；j∈{1,2,…,Ji}，k′∈{1,2,…,Ki′}，Ji为交叉口i进口道数，Ki′为交叉口i′出口道数；当交叉口i进口道j与交叉口i′出口道k′属于同一路段时，bjk′＝1，否则，bjk′＝0；B ii' is the relationship matrix between the entrance road j of intersection i and the exit road k' of intersection i'; j∈{1,2,…,J i }, k′∈{1,2,…,K i′ }, J i is the number of entrance lanes of intersection i, and K i′ is the number of exit lanes of intersection i′; When the entrance road j of the intersection i and the exit road k' of the intersection i' belong to the same road segment, b jk' =1, otherwise, b jk' =0; Ci为交叉口i内出口道k和车流m的关系矩阵；k∈{1,2,…,Ki}，m∈{1,2,…,Mi}，Ki、Mi分别为交叉口i的出口道数、车流数；当车流m在出口道k有通行权时，ckm＝1，否则，ckm＝0；C i is the relationship matrix between exit k and traffic flow m in intersection i; k∈{1,2,…,K i }, m∈{1,2,…,M i }, Ki and Mi are the number of exit lanes and traffic flow at intersection i , respectively; When k has the right of way, c km =1, otherwise, c km =0; 为交叉口i′进口道j′停止线与交叉口i进口道j上游断面之间的距离，j′∈{1,2,…,Ji′}，Ji′为交叉口i′进口道数； is the distance between the stop line of the entrance j' of the intersection i' and the upstream section of the entrance j of the intersection i, j'∈{1,2,...,J i' }, J i' is the entrance of the intersection i'number; 为交叉口i′进口道j′停止线与交叉口i进口道j停止线之间的距离； is the distance between the stop line of the entrance road j' of the intersection i' and the stop line of the entrance road j of the intersection i; 为第w类车由交叉口i′驶向i时的期望速度； is the expected speed of the w-th vehicle when it goes from intersection i' to i; 为从交叉口i′进口道j′停止线至交叉口i进口道j上游断面的第w类车的期望行驶时间， is the expected travel time of the w-th vehicle from the stop line of the entrance j' of the intersection i' to the upstream section of the entrance j of the intersection i, 为从交叉口i′进口道j′停止线至交叉口i进口道j停止线的第w类车的期望行驶时间， is the expected travel time of the w-th vehicle from the stop line of the entrance road j' of the intersection i' to the stop line of the entrance road j of the intersection i, a为整数变量，w∈{1,2,…,W}，W为车辆类型数，ceil为向上取整，max为取最大值；a is an integer variable, w∈{1,2,…,W}, W is the number of vehicle types, ceil is rounded up, and max is the maximum value; T为分析期时长；T is the duration of the analysis period; 为对于时段(t,t+T)，交叉口i车流m第w类车所有采样间隔内通过停止线的实际车辆数的集合； For the period (t, t+T), the actual number of vehicles passing the stop line in all sampling intervals of the traffic flow m of the intersection i and the wth class of vehicles; 为对于时段(t-a,t)，交叉口i车流m第w类车所有采样间隔内通过停止线的实际车辆数的集合； For the time period (ta, t), the actual number of vehicles passing the stop line in all sampling intervals of the traffic flow m of the intersection i and the wth class of vehicles; 为对于时段(t-a,t+T)，交叉口i车流m第w类车所有采样间隔内通过停止线的实际车辆数的集合； For the time period (ta, t+T), the actual number of vehicles passing the stop line in all sampling intervals of the traffic flow m of the intersection i and the wth class of vehicles; 为对于时段(t-a,t+T)，交叉口各股车流第w类车所有采样间隔内通过停止线的实际车辆数的集合；对于交叉口i进口道j，当aii′＝1且bjk′＝1时，记此时交叉口为进口道j的上游交叉口； is for the period (ta,t+T), the intersection The collection of the actual number of vehicles passing the stop line in all sampling intervals of the w-th vehicle of each traffic flow; for the intersection i and the entrance j, when a ii' = 1 and b jk' = 1, record the intersection is the upstream intersection of the entrance road j; 为对于时段(t,t+T)，交叉口i进口道j第w类车所有采样间隔内通过上游断面的实际车辆数的集合； For the time period (t, t+T), the collection of the actual number of vehicles passing through the upstream section in all sampling intervals of the w-th vehicle at the entrance of intersection i and j; 为对于时段(t-a,t)，交叉口i进口道j第w类车所有采样间隔内通过上游断面的实际车辆数的集合； For the period (ta, t), the actual number of vehicles passing through the upstream section in all sampling intervals of the w-th vehicle at the entrance of intersection i and j; 为对于时段(t-a,t+T)，交叉口i进口道j第w类车所有采样间隔内通过上游断面的实际车辆数的集合； is the collection of the actual number of vehicles passing through the upstream section in all sampling intervals of vehicles of class w at the entrance of intersection i and j; (2)检测器布设(2) Detector layout 在各交叉口每条进口道停止线及其上游断面布设车辆检测器，停止线及其上游断面之间的距离大于高峰期所在进口道的最大排队长度；根据和计算得到进而获得a值；利用停止线处车辆检测器获取该断面每股车流各类车所有采样间隔内的驶离车辆数，即数据集利用进口道上游断面检测器获取该断面各类车辆所有采样间隔内的到达车辆数，即数据集 Vehicle detectors are arranged on the stop line and its upstream section of each entrance road at each intersection, and the distance between the stop line and its upstream section is greater than the maximum queue length of the entrance road at the peak period; and Calculated Then obtain the value of a; use the vehicle detector at the stop line to obtain the number of departing vehicles in all sampling intervals of various types of vehicles per traffic flow in this section, that is, the data set Use the upstream section detector of the entrance to obtain the number of arriving vehicles in all sampling intervals of various types of vehicles in the section, that is, the data set 式中：Sij为交叉口i进口道j上游断面及其停止线之间的距离；βii′为距离系数，βii′∈(0,1)；Di′,i为针对交叉口i进口道j，交叉口i′与i的进口道停止线间距；In the formula: S ij is the distance between the upstream section of the entrance j of the intersection i and its stop line; β ii′ is the distance coefficient, β ii′ ∈(0,1); D i′,i is the distance for the intersection i The entrance road j, the distance between the stop lines of the entrance road at the intersection i' and i; (3)数据处理(3) Data processing (3.1)停止线处检测器数据(3.1) Detector data at stop line 利用式(2)对数据集进行处理，得到数据集和利用式(3)对数据集进行处理，得到利用式(4)对数据集进行处理，得到数据集 Using Equation (2) for the data set process to get the dataset and Using Equation (3) for the data set processed to get Using Equation (4) for the data set process to get the dataset 式中： 为交叉口i车流m在时段z内第w类车通过停止线的实际车辆数；为数据采样间隔；为交通流量估算间隔，为a的整数倍；Mi′为交叉口i′的车流数；为时段(t-a,t+T)内交叉口i′车流m′第w类车所有采样间隔内通过停止线的实际车辆数的集合；ck′m′为交叉口i′内出口道k′和车流m′的关系标识符，当车流m′在出口道k′有通行权时，ck′m′＝1，否则，ck′m′＝0；where: is the actual number of vehicles of the wth class passing the stop line during the period z of the traffic flow m at the intersection i; is the data sampling interval; Estimate interval for traffic flow, is an integer multiple of a; M i' is the number of traffic at intersection i'; is the collection of the actual number of vehicles passing the stop line in all sampling intervals of the vehicle flow m' at the intersection i' during the period (ta, t+T); c k'm' is the exit k' in the intersection i' The relationship identifier with the traffic flow m', when the traffic flow m' has the right of way at the exit k', ck'm' = 1, otherwise, ck'm' = 0; (3.2)上游断面检测器数据(3.2) Upstream section detector data 利用式(5)对数据集进行处理，得到数据集和利用式(6)对数据集进行处理，得到 Using Equation (5) for the data set process to get the dataset and Using Equation (6) for the data set processed to get 式中：为交叉口i进口道j在时段z内第w类车通过上游断面的实际车辆数；where: is the actual number of vehicles of the wth class passing through the upstream section of the intersection i and the entrance j in the period z; (4)离散系数标定(4) Discrete coefficient calibration 为估算交通需求，需要标定交通需求估算模型中的修正系数αw，具体标定方法如下：In order to estimate the traffic demand, the correction coefficient α w in the traffic demand estimation model needs to be calibrated. The specific calibration method is as follows: 利用式(7)估算时段z内第w类车通过上游断面的车辆数αw以0.01为间隔从0取到1，寻求使和的平均相对误差的绝对值Δij最小的修正系数然后，利用该系数和式(9)得到修正系数 Use Equation (7) to estimate the number of vehicles passing through the upstream section of the w-th vehicle in the period z αw is taken from 0 to 1 at intervals of 0.01, seeking to make and The absolute value of the average relative error Δij is the smallest correction factor Then, use this coefficient and formula (9) to get the correction coefficient 式中： 为交叉口i′车流m′在时段内第w类车通过停止线的实际车辆数；分别为交叉口i进口道j在时段z、z-1内第w类车通过上游断面的估算车辆数；为从交叉口i′各进口道停止线至交叉口i进口道j上游断面的第w类车的离散系数；αw为第w类车的修正系数，αw∈[0,1]；为从交叉口i′各进口道停止线至交叉口i进口道j上游断面的第w类车行驶时间的修正系数，为从交叉口i′各进口道停止线至交叉口i进口道j停止线的第w类车行驶时间的修正系数，Z为时段数；为调整系数， where: is the time period of traffic flow m' at the intersection i' The actual number of vehicles passing the stop line in the wth category; are the estimated number of vehicles passing through the upstream section of the w-th vehicle in the time period z and z-1 of the entrance j of the intersection i; is the dispersion coefficient of the w-th type of vehicle from the stop line of each entrance of intersection i′ to the upstream section of the entrance of intersection i and j; α w is the correction coefficient of the w-th type of vehicle, α w ∈ [0,1]; is the correction factor for the travel time of the w-th vehicle from the stop line of each entryway at intersection i′ to the upstream section of entryway j at intersection i, is the correction factor for the travel time of the w-th vehicle from the stop line of each entry road of intersection i′ to the stop line of entrance road j of intersection i, Z is the number of time periods; is the adjustment factor, (5)交通需求估算模型(5) Traffic demand estimation model 利用修正系数和式(10)估算交叉口i进口道j每股车流的交通需求 Use correction factor Sum (10) estimates the traffic demand of each traffic flow at intersection i and entrance j 式中： 为交叉口i进口道j车流m在时段z内通过停止线的估算车辆数；交叉口i进口道j车流m在时段z-1内第w类车通过停止线的估算车辆数；为交叉口i′车流m′在时段内第w类车通过停止线的实际车辆数；χijm为车流m在交叉口i进口道j所有车流中所占的比例；为从交叉口i′各进口道停止线至交叉口i进口道j停止线的第w类车的离散系数。where: is the estimated number of vehicles passing the stop line in the time period z for the traffic flow m at the entrance j of the intersection i; The estimated number of vehicles of the w-th type of vehicles passing the stop line in the time period z-1 of the traffic flow m of the entrance j of the intersection i; is the time period of traffic flow m' at the intersection i' The actual number of vehicles of the wth class passing through the stop line; χ ijm is the proportion of the traffic flow m in all the traffic flows at the entrance j of the intersection i; is the dispersion coefficient of the w-th vehicle from the stop line of each entryway at intersection i' to the stop line of entryway j at intersection i.
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