CN115240427B - Pedestrian queuing demand estimation method on signal-controlled crosswalk safety island - Google Patents

Pedestrian queuing demand estimation method on signal-controlled crosswalk safety island Download PDF

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CN115240427B
CN115240427B CN202210892264.7A CN202210892264A CN115240427B CN 115240427 B CN115240427 B CN 115240427B CN 202210892264 A CN202210892264 A CN 202210892264A CN 115240427 B CN115240427 B CN 115240427B
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queuing
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pedestrians
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CN115240427A (en
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黄凯
陈为杰
程启秀
秦文虎
刘志远
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Southeast University
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    • 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
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/07Controlling traffic signals
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/09Arrangements for giving variable traffic instructions
    • G08G1/095Traffic lights
    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/09Arrangements for giving variable traffic instructions
    • G08G1/096Arrangements for giving variable traffic instructions provided with indicators in which a mark progresses showing the time elapsed, e.g. of green phase
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Abstract

The invention discloses a pedestrian queuing demand estimation method on a signal control crosswalk safety island, which specifically comprises the following steps: determining the average queuing number of pedestrians on each line of the road side; determining the wave velocity and the evanescent wave velocity formed by a queue in the process of queuing the pedestrians on the road side; forming wave velocity and evanescent wave velocity to determine the queuing dissipation time of the road side pedestrians; determining the time length from when the pedestrian queuing at the road side and the non-queuing pedestrian reach the safety island to the latest green light; and calculating the requirement of the roadside pedestrians for reaching the security island and queuing and crossing the street. According to the invention, the queuing and dissipation process of pedestrians in the non-green light (red light and green light) time of the road side is considered, the time interval of the queuing and non-queuing pedestrians on the road side reaching the safety island is accurately divided, the waiting requirement of the pedestrians on the safety island in the middle of the signal control crosswalk is more accurately estimated, and the optimization of the safety island design and the dynamic signal control design of the crosswalk with more accurate requirement response are facilitated.

Description

Pedestrian queuing demand estimation method on signal-controlled crosswalk safety island
Technical Field
The invention relates to a pedestrian queuing demand estimation method on a security island in the middle of a signal control crosswalk, belonging to the technical field of traffic management control.
Background
The urban main road in China is wide, for example, a bidirectional 8-lane or 12-lane road is wide, the pedestrian crossing distance is long, the middle safety island is generally arranged to meet the past safety requirement of pedestrians, and when the green light passing duration cannot meet the requirement of once passing the pedestrian crossing, the pedestrians are allowed to pass the pedestrian crossing in the time of waiting for the next green light by the safety island.
Because pedestrians meet non-green lamps (red lamps and green flashes) on the road side and a queuing waiting process is generated, the arrival rate of pedestrians on the road side and the non-queuing pedestrians on the safety island is different, different signal schemes and road geometric information lead pedestrians (queuing and non-queuing) to arrive at the safety island and meet signal lamps to be different, the efficiency of pedestrians entering the crosswalk through the road side and the safety island is based on the number of each pedestrian, the arrival rate on the pedestrian safety island is dynamically dependent on the pedestrian queuing and dissipating process on the road side, and the pedestrian queuing estimating method ignores the process, so that the error of pedestrian queuing requirement estimation on the safety island is greatly increased.
Disclosure of Invention
The technical problems to be solved by the invention are as follows: according to the pedestrian queuing and dissipating process of the pedestrian crossing road side under the control of the signal lamp, the influence of queuing and dissipating time on the arrival rate of pedestrians at the safety island is considered, the pedestrian queuing of the safety island is required based on the green light relationship of the safety island, further support is provided for microscopic analysis of the queuing of the safety island, and support is provided for design optimization of the safety island and a demand response strategy.
The invention adopts the following technical scheme for solving the technical problems:
a pedestrian queuing demand estimation method on a signal control crosswalk middle safety island comprises the following steps:
step 1, basic information of pedestrian crossing is obtained: obtaining the arrival rate lambda of the road side pedestrian 1 Signal period duration C, green light duration g at road-side street crossing stage 1 Green light duration g of safety island in street crossing stage 2 Two-stage green light phase difference t o (the green light on the road side is lit later than the green light on the safety island by t o Second), if only one group of signal lamps is controlled, the green light phase difference is zero; the pedestrian crossing traffic flow parameter information comprises: pedestrian free flow velocity u on pedestrian roadside and safety island s Free flow speed u on pedestrian crosswalk f Pedestrian queuing congestion density k on road side and safety island j Average maximum flow q of pedestrians entering crosswalk from road side and safety island d The method comprises the steps of carrying out a first treatment on the surface of the Crosswalk and island geometry: l (L) 1 ,L 2 And L 0 First and second pedestrians crossing the street respectivelyThe length of the crosswalk and the length of the safety island, and w is the width of the crosswalk.
Step 2, calculating the average queuing number N of each line of people on the road side r1 Wherein N is r1 According to the formula
Figure BDA0003768025320000021
Acquisition, wherein w is the crosswalk width, lambda 1 The arrival rate of pedestrians reaching the road side is C is the period duration, g 1 Controlling the green light time for the pedestrian crossing road side;
step 3, calculating the wave velocity v formed by queuing of the pedestrians on the road side sp1 And velocity v of the evanescent wave dp ,υ sp1 And v dp Respectively according to the formula
Figure BDA0003768025320000022
And->
Figure BDA0003768025320000023
Acquisition of lambda 1 For the arrival rate of the road side pedestrian, u s For the free flow speed of the pedestrian road side, u f For the free flow speed k on the pedestrian crosswalk j Queuing congestion density for pedestrians, q d The average maximum flow of pedestrians entering a crosswalk from a road side and a safety island;
step 4, calculating time t from when the green light on the road side is on to when the pedestrians are all queued to enter the crosswalk d1 ,t d1 According to formula t d1 =t dp1 +t dc1 Obtained by the method, wherein
Figure BDA0003768025320000024
Step 5, calculating the arrival rate lambda of the pedestrians in the road side queuing to arrive at the safety island 2 According to the formula
Figure BDA0003768025320000025
Acquiring;
step 6, determining the relationship between the far side of the safety island where the pedestrians in the road side and the non-queuing pedestrians arrive and the green light interval, and the following publicIn the middle of
Figure BDA0003768025320000026
Step 6.1, calculating the time length (nearest green light) t of the green light on which the signal of the safety island is controlled to be turned on when the first row of queuing pedestrians on the road side reaches the far side of the safety island 1 Wherein t is 1 =mod[(t c1 +t c0 -(C-t o )),C];
Step 6.2, calculating the time length (nearest green light) t of the green light on which the signal of the safety island is controlled to be turned on when the last row of queuing pedestrians on the road side reaches the far side of the safety island 2 Wherein t is 2 =mod[(t c1 +t c0 +t d1 -(C-t o )),C]
Step 6.3, calculating the time length (nearest green light) t of the green light when the pedestrian entering the pedestrian crosswalk reaches the far side of the safety island when the green light at the road side is finished, wherein the green light is controlled to be turned on by the safety island signal 3 Wherein t is 3 =mod[(t c1 +t c0 +g 1 -(C-t o )),C];
Step 6.4, determining t 1 ,t 2 ,t 3 And g is equal to 2 In the size relationship of (1), wherein g 2 The green light duration of the signal lamp of the safety island is carried out for pedestrians;
step 7, determining the queuing requirement P of pedestrians in given directions on the safety island 1 =λ 1 Δt 1 +Δt 2 λ 2 Wherein Δt is 1 ,Δt 2 The parameter size relation is obtained in the step 6.4;
compared with the prior art, the technical scheme provided by the invention has the following technical effects:
according to the signal control pedestrian queuing requirement estimation method on the middle safety island of the crosswalk, queuing forming and dissipating processes of pedestrians are considered in non-green light (red light and green light) time at the road side, arrival rate of the queued pedestrians to the safety island is accurately estimated, time intervals of the queued pedestrians and the non-queued pedestrians to the safety island are accurately divided into side queuing and non-queued pedestrians to the safety island, the signal control pedestrian crossing middle safety island queuing requirement is estimated more accurately, and more accurate safety island design optimization and crosswalk signal control efficiency optimization are facilitated.
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Fig. 1 is a flow chart of a method for estimating pedestrian queuing requirements on a security island in the middle of a signal-controlled crosswalk according to the present invention.
FIG. 2 is a diagram showing an exemplary scenario for implementing a queuing requirement estimation method on a security island in the middle of a signal-controlled crosswalk according to the present invention.
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings. The embodiments described below by referring to the drawings are exemplary only for explaining the present invention and are not to be construed as limiting the present invention.
Determining the average queuing number of each line of the road side pedestrians according to the relationship of the pedestrian gathering distance; determining the wave velocity and the evanescent wave velocity formed by a queue in the process of queuing the pedestrians on the road side according to the traffic flow theory; determining the queuing dissipation time of the road side pedestrians according to the wave speed formed by the road side queues and the wave speed of the evanescent wave; determining the time from when the pedestrians in the road side queuing and the non-queuing pedestrians reach the safety island to the latest green light on according to the signal parameters and the dissipation time; and calculating the requirement of the roadside pedestrians for reaching the security island and queuing and crossing the street. A signal control pedestrian queuing demand estimation method on a crosswalk middle safety island is provided, and the specific process is shown in figure 1.
Step 1, basic information of pedestrian crossing is obtained: arrival rate lambda of pedestrian at road side 1 Signal period duration C, green light duration g at road-side street crossing stage 1 Green light duration g of safety island in street crossing stage 2 Two-stage green light phase difference t o (the green light on the road side is lit later than the green light on the safety island by t o Second); the pedestrian crossing traffic flow parameter information comprises: pedestrian free flow velocity u on pedestrian roadside and safety island s Free flow speed u on pedestrian crosswalk f Pedestrian queuing congestion density k on road side and safety island j Average maximum flow q of pedestrians entering crosswalk from road side and safety island d The method comprises the steps of carrying out a first treatment on the surface of the Crosswalk and island geometry: l (L) 1 ,L 2 And L 0 Respectively isThe length of a first pedestrian crossing and a second pedestrian crossing which are crossed by pedestrians and the length of a safety island are measured and obtained by physical measurement of the width of the pedestrian crossing; the signal control parameter information is acquired through a signal machine, the traffic flow parameter information is acquired through calibration of historical traffic flow data, the fitting basic diagram is applied to the traffic flow parameter information, and the video data or the manual data is used for fitting the three-phase basic diagram of speed, density and flow. Acquisition of u through base graph s u f And k j Maximum average flow rate q d The value u is suggested here by video traffic acquisition s =1.16 m/s, u f =1.45 m/s, k j Row=1.1/m, q d =0.45 lines/sec.
Step 2, calculating the average queuing number N of each line of people on the road side r1 Wherein N is r1 According to the formula
Figure BDA0003768025320000041
Acquisition, wherein w is the crosswalk width, lambda 1 The arrival rate of pedestrians reaching the road side is C is the period duration, g 1 Controlling the green light time for the pedestrian crossing road side;
step 3, calculating the wave velocity v formed by queuing of the pedestrians on the road side sp1 And velocity v of the evanescent wave dp ,υ sp1 And v dp Respectively according to the formula
Figure BDA0003768025320000042
And->
Figure BDA0003768025320000043
Acquisition of lambda 1 For the arrival rate of the road side pedestrian, u s For the free flow speed of the pedestrian road side, u f For the free flow speed k on the pedestrian crosswalk j Queuing congestion density for pedestrians, q d The average maximum flow of pedestrians entering a crosswalk from a road side and a safety island;
step 4, calculating time t from when the green light on the road side is on to when the pedestrians are all queued to enter the crosswalk d1 ,t d1 According to formula t d1 =t dp1 +t dc1 Obtained by the method, wherein
Figure BDA0003768025320000044
Step 5, calculating the arrival rate lambda of the pedestrians in the road side queuing to arrive at the safety island 2 According to the formula
Figure BDA0003768025320000045
Acquiring;
step 6, determining the relation between the far side of the safety island where the pedestrians in the road side and the non-queuing pedestrians arrive and the green light interval, wherein the relation is expressed in the following formula
Figure BDA0003768025320000046
Step 6.1, calculating the time length (nearest green light) t of the green light on which the signal of the safety island is controlled to be turned on when the first row of queuing pedestrians on the road side reaches the far side of the safety island 1 Wherein t is 1 =mod[(t c1 +t c0 -(C-t o )),C];
Step 6.2, calculating the time length (nearest green light) t of the green light on which the signal of the safety island is controlled to be turned on when the last row of queuing pedestrians on the road side reaches the far side of the safety island 2 Wherein t is 2 =mod[(t c1 +t c0 +t d1 -(C-t o )),C]
Step 6.3, calculating the time length (nearest green light) t of the green light when the pedestrian entering the pedestrian crosswalk reaches the far side of the safety island when the green light at the road side is finished, wherein the green light is controlled to be turned on by the safety island signal 3 Wherein t is 3 =mod[(t c1 +t c0 +g 1 -(C-t o )),C];
Step 6.4, determining t 1 ,t 2 ,t 3 And g is equal to 2 In the size relationship of (1), wherein g 2 Step 7, obtaining parameters of A and B directions from the steps 1-6 for the green light duration of the pedestrian traveling safety island signal lamp
Figure BDA0003768025320000047
A. B is two directions for the pedestrians to cross the street on the safety island, and is shown in an example figure 2. From example FIG. 2, the meterComputing scene->
Figure BDA0003768025320000048
Respectively get->
Figure BDA0003768025320000049
The pedestrian queuing requirement in the A direction is that
Figure BDA00037680253200000410
The queuing requirement of pedestrians in the direction B is->
Figure BDA00037680253200000411
The above embodiments are only for illustrating the technical idea of the present invention, and the protection scope of the present invention is not limited thereto, and any modification made on the basis of the technical scheme according to the technical idea of the present invention falls within the protection scope of the present invention.

Claims (1)

1. A pedestrian queuing demand estimation method on a signal control crosswalk safety island is characterized by comprising the following steps:
step 1, basic information of pedestrian crossing is obtained: obtaining the arrival rate lambda of the road side pedestrian 1 Signal control parameters, pedestrian crosswalk, safety island geometry and pedestrian crossing traffic flow parameter information;
step 2, calculating the average queuing number N of each line of people on the road side r1 Queuing of pedestrians on road side to form wave velocity v sp1 And velocity v of the evanescent wave dp The green light on the road side is on for the time t when the pedestrians are all queued to enter the crosswalk d1 Arrival rate lambda of pedestrian queuing at road side to arrive at safety island 2
Step 3, determining the relationship between the far side of the safety island where the pedestrians in the road side queuing and the non-queuing reach and the green light interval;
step 4, determining the queuing requirement of pedestrians in a given direction on the safety island;
the signal control parameter information in step 1 includes: signal period duration C, green light duration g at road-side street crossing stage 1 Green road crossing stage of safety islandDuration g of lamp 2 Two-stage green light phase difference t o The method comprises the steps of carrying out a first treatment on the surface of the If only one group of signal lamps are controlled, the green light phase difference is zero; the pedestrian crossing traffic flow parameter information comprises: pedestrian free flow velocity u on pedestrian roadside and safety island s Free flow speed u on pedestrian crosswalk f Pedestrian queuing congestion density k on road side and safety island j Average maximum flow q of pedestrians entering crosswalk from road side and safety island d Crosswalk and island geometry: l (L) 1 ,L 2 And L 0 The length of a first pedestrian crossing and a second pedestrian crossing which are crossed by pedestrians and the length of a safety island are respectively the width w of the pedestrian crossing;
N r1 according to the formula
Figure FDA0004241794730000011
Acquiring;
υ sp1 and v dp Respectively according to the formula
Figure FDA0004241794730000012
And->
Figure FDA0004241794730000013
Acquiring;
t d1 according to formula t d1 =t dp1 +t dc1 Obtained by the method, wherein
Figure FDA0004241794730000014
Arrival rate lambda 2 According to the formula
Figure FDA0004241794730000015
Acquiring;
the step 3 specifically comprises the following steps:
step 3.1, calculating the time t for the green light to be turned on by the safety island signal when the first row of queuing pedestrians on the road side reaches the far side of the safety island 1
Step 3.2, calculating the arrival safety of the last line of queuing pedestrians on the road sideWhen the island is far away, the safety island signal controls the duration t of green light 2
Step 3.3, calculating the time t for the green light to turn on when the pedestrian entering the pedestrian crossing from the road side reaches the far side of the safety island when the green light at the road side is finished 3
Step 3.4, determining t 1 ,t 2 ,t 3 And g is equal to 2 In the size relationship of (1), wherein g 2 The green light time of the crosswalk signal lamp at the second stage is controlled after the pedestrian passes through the safety island;
t 1 ,t 2 ,t 3 respectively from formula t 1 =mod[(t c1 +t c0 -(C-t o )),C],t 2 =mod[(t c1 +t c0 +t d1 -(C-t o )),C],t 3 =mod[(t c1 +t c0 +g 1 -(C-t o )),C]Calculated, function mod [ x, y]To calculate the remainder of x divided by y, where
Figure FDA0004241794730000021
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