CN115240427A - Method for estimating pedestrian queuing requirements on signal control pedestrian crossing safety island - Google Patents

Method for estimating pedestrian queuing requirements on signal control pedestrian crossing safety island Download PDF

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CN115240427A
CN115240427A CN202210892264.7A CN202210892264A CN115240427A CN 115240427 A CN115240427 A CN 115240427A CN 202210892264 A CN202210892264 A CN 202210892264A CN 115240427 A CN115240427 A CN 115240427A
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pedestrian
safety island
roadside
pedestrians
queuing
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CN115240427B (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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    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G1/00—Traffic control systems for road vehicles
    • G08G1/01—Detecting movement of traffic to be counted or controlled
    • G08G1/0104—Measuring and analyzing of parameters relative to traffic conditions
    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G1/00—Traffic control systems for road vehicles
    • G08G1/07—Controlling traffic signals
    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G1/00—Traffic control systems for road vehicles
    • G08G1/09—Arrangements for giving variable traffic instructions
    • G08G1/095—Traffic lights
    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G1/00—Traffic control systems for road vehicles
    • G08G1/09—Arrangements for giving variable traffic instructions
    • G08G1/096—Arrangements for giving variable traffic instructions provided with indicators in which a mark progresses showing the time elapsed, e.g. of green phase
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B20/00—Energy efficient lighting technologies, e.g. halogen lamps or gas discharge lamps
    • Y02B20/40—Control techniques providing energy savings, e.g. smart controller or presence detection

Abstract

The invention discloses a method for estimating pedestrian queuing requirements on a signal control pedestrian crossing safety island, which specifically comprises the following steps: determining the average queuing number of pedestrians in each row at the road side; determining the queue forming wave velocity and the dissipation wave velocity of the roadside pedestrian queuing process; forming wave speed and dissipation wave speed to determine the queuing dissipation time of pedestrians at the roadside; determining the time length from the time when the roadside pedestrians in line and the non-pedestrians in line arrive at the safety island to the time when the green light is turned on recently; and calculating the street-crossing requirement of the pedestrians on the roadside arriving at the safety island to queue. According to the method, the formation and dissipation processes of the queue of the pedestrians in the roadside non-green light (red light and green flash) time are considered, the roadside queue and the time interval of the non-queued pedestrians arriving at the safety island are accurately distinguished, the pedestrian queuing waiting requirement on the safety island in the middle of the signal control pedestrian crossing is more accurately estimated, and the safety island design optimization and pedestrian crossing dynamic signal control design optimization with more accurate demand response are facilitated.

Description

Method for estimating pedestrian queuing requirements on signal control pedestrian crossing safety island
Technical Field
The invention relates to a method for estimating pedestrian queuing requirements on a safety island in the middle of a signal control pedestrian crossing, belonging to the technical field of traffic management control.
Background
The main road of a city in China is wide, for example, a bidirectional 8 lane or 12 lanes are common, the pedestrian crossing distance is long, a middle safety island is usually arranged to meet the past safety requirement of the pedestrian, and when the green light passing time cannot meet the requirement of passing the pedestrian crosswalk at one time, the pedestrian is allowed to pass the pedestrian crosswalk in the time when the safety island waits for the next green light.
The pedestrian queuing and waiting process is generated when the pedestrian meets non-green lights (red lights and green flashes) on the roadside, so that the arrival rates of the pedestrians queued at the roadside and not queued at the safety island are different, the pedestrians (queued and not queued) arrive at the safety island and meet the signal lights differently due to different signal schemes and road geometric information, and the efficiency of the pedestrians dispersing from the roadside and the safety island into the pedestrian crosswalk is based on the number of the pedestrians, so that the arrival rate of the pedestrians queued at the safety island dynamically depends on the queuing and dispersing process of the pedestrians at the roadside, the current pedestrian queuing and estimating method omits the process, and the error of the estimation of the pedestrian queuing requirement on the safety island is greatly increased.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the method comprises the steps of controlling the roadside queuing and dissipating processes of descending people according to signal lamps, considering the influence of queuing and dissipating time on the arrival rate of the pedestrians at the safety island, requiring the pedestrian queuing at the safety island based on the green light relation of the safety island, further providing support for the microcosmic analysis of the pedestrian queuing at the safety island, and providing support for the design optimization of the safety island and a demand response strategy.
The invention adopts the following technical scheme for solving the technical problems:
a method for estimating the queuing requirement of pedestrians on a safety island in a signal control pedestrian crosswalk comprises the following steps:
step 1, acquiring pedestriansBasic street crossing information: obtaining the pedestrian arrival rate lambda of the road side 1 Time length of signal period C, time length of green light at roadside street crossing stage g 1 Time length g of green light at street crossing stage of safety island 2 Two phase difference t between green lights o (roadside green light turns on later than safety island green light by t o Second), if only one group of signal lamps are controlled, the phase difference of the green light is zero; the pedestrian crossing traffic flow parameter information comprises: pedestrian road side and safety island pedestrian free flow speed u s Free flow velocity u on pedestrian crosswalk f Roadside and safety island up-line people queuing congestion density k j The average maximum flow q of the pedestrian entering the pedestrian crosswalk from the road side and the safety island d (ii) a Geometric dimensions of pedestrian crossings and safety islands: l is 1 ，L 2 And L 0 The lengths of the first and second pedestrian crossings through which pedestrians cross the street and the length of the safety island are respectively determined, and w is the width of the pedestrian crossings.
Step 2, calculating the average number N of lined pedestrians in each row on the road side r1 In which N is r1 According to the formula
Figure BDA0003768025320000021
Obtaining, wherein w is the pedestrian crossing width, lambda 1 The arrival rate of the pedestrian to the road side, C is the cycle duration, g 1 Controlling the green light duration for the pedestrian crossing the street;
step 3, calculating the wave velocity upsilon formed by the pedestrian queuing on the road side sp1 And an evanescent velocity v dp ，υ sp1 And upsilon dp According to the formula respectively
Figure BDA0003768025320000022
And
Figure BDA0003768025320000023
obtaining, wherein λ 1 The pedestrian arrival rate at the roadside, u s Speed of free flow u on the side of pedestrian road f Free flow velocity, k, for pedestrians on crosswalks j Density of pedestrian queue d Level for pedestrian to enter pedestrian crosswalk from roadside and safety islandAverage maximum flow rate;
step 4, calculating the time t from the turning-on of the road side green light to the entrance of all the lined pedestrians into the pedestrian crossing d1 ，t d1 According to the formula t d1 ＝t dp1 +t dc1 Is obtained in which
Figure BDA0003768025320000024
Step 5, calculating the arrival rate lambda of the pedestrians queued at the road side to the safety island 2 According to the formula
Figure BDA0003768025320000025
Obtaining;
step 6, determining the interval relation between the far side of the roadside queue and the far side of the non-queue pedestrians reaching the safety island and the green light, wherein the interval relation is shown in the following formula
Figure BDA0003768025320000026
Step 6.1, calculating the time length t for controlling the green light to be turned on by the safety island signal (the nearest green light to be turned on) when the roadside first-row queued pedestrians reach 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 t for controlling the green light to be turned on by the safety island signal (the nearest green light to be turned on) when the last line of lined pedestrians at the roadside 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 t (nearest green light is lighted) for controlling the green light to be lighted by the safety island signal when the pedestrian entering the pedestrian crosswalk from the roadside reaches the far side of the safety island after the roadside green light is finished 3 Wherein t is 3 ＝mod[(t c1 +t c0 +g 1 -(C-t o )),C]；
Step 6.4, determine t 1 ，t 2 ，t 3 And g 2 In the size relationship of (1), wherein g 2 The green time of the signal lamp of the safety island for the pedestrian to travel;
step 7, determining the safety islandPedestrian queuing requirement P in given direction 1 ＝λ 1 Δt 1 +Δt 2 λ 2 Where Δ t is 1 ,Δt 2 The parameter size relationship is obtained in step 6.4;
compared with the prior art, the technical scheme adopted by the invention has the following technical effects:
the method for estimating the pedestrian queuing waiting requirement on the safety island in the middle of the signal control pedestrian crossing considers the formation and dissipation processes of the queuing queue of pedestrians in the roadside non-green light (red light and green flash) time, accurately estimates the arrival rate of the queued pedestrians at the safety island, accurately distinguishes the time interval between roadside queuing and the arrival of the non-queued pedestrians at the safety island, more accurately estimates the pedestrian queuing waiting requirement on the safety island in the middle of the signal control pedestrian crossing, and is favorable for more accurate safety island design optimization and pedestrian crossing signal control efficiency optimization.
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FIG. 1 is a flow chart of a method for estimating the queuing requirements of pedestrians on a safety island in the middle of a signal-controlled crosswalk according to the invention.
Fig. 2 is an exemplary diagram of an implementation calculation scenario of a signal-controlled estimation method for the queuing requirement on the middle safety island of the crosswalk according to the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
Determining the average queuing number of pedestrians in each row at the road side according to the pedestrian gathering distance relation; determining queue forming wave velocity and evanescent wave velocity of the roadside pedestrian queuing process according to a traffic flow theory; determining the queuing and dissipating time length of the pedestrians at the roadside according to the wave velocity formed by the roadside queue and the dissipating wave velocity; determining the time length from the time when the roadside queued pedestrians and non-queued pedestrians reach the safety island to the time when the green light is turned on recently according to the signal parameters and the dissipation time length; and calculating the street-crossing requirement of the pedestrians on the roadside arriving at the safety island to queue. A method for estimating the queuing requirement of pedestrians on a safety island in a signal control pedestrian crossing is provided, and the specific process is shown in figure 1.
Step 1, acquiring basic pedestrian street crossing information: arrival rate lambda of pedestrian to roadside 1 Time length of signal cycle C, time length of street side street crossing stage green light g 1 Time length g of green light in street crossing stage of safety island 2 Two phase difference t between green lights o (roadside green light turns on later than safety island green light by t o Seconds); the pedestrian crossing traffic flow parameter information comprises: pedestrian road side and safety island pedestrian free flow speed u s Free flow speed u on pedestrian crosswalk f Roadside and safety island up-line people queuing congestion density k j The average maximum flow q of the pedestrian entering the pedestrian crosswalk from the road side and the safety island d (ii) a Geometric dimensions of pedestrian crossings and safety islands: l is 1 ，L 2 And L 0 The lengths of a first pedestrian crosswalk and a second pedestrian crosswalk through which pedestrians cross the street and the length of the safety island are respectively obtained, and w is obtained by physically measuring the width of the pedestrian crosswalk; the signal control parameter information is acquired through a signal machine, the traffic flow parameter information is acquired through historical traffic flow data calibration, a fitting basic diagram is applied to the acquisition, and a speed, density and flow three-phase basic diagram is fitted through video data or manual data. Obtaining u from the base map s u f And k j Maximum average flow rate q d Through video traffic acquisition, here the value u is suggested s 1.16 m/s, u f K of 1.45 m/s j =1.1 lines/m, q d =0.45 lines/sec.
Step 2, calculating the average number N of lined pedestrians in each row on the road side r1 In which N is r1 According to the formula
Figure BDA0003768025320000041
Obtaining, wherein w is the pedestrian crossing width, lambda 1 The arrival rate of the pedestrian arriving at the roadside, C is the period duration, g 1 Controlling the green light duration for the pedestrian crossing the street;
step 3, calculating the speed upsilon of the pedestrians queuing on the road side sp1 And an evanescent velocity v dp ，υ sp1 And upsilon dp According to the formula respectively
Figure BDA0003768025320000042
And
Figure BDA0003768025320000043
obtaining, wherein λ 1 The pedestrian arrival rate at the roadside, u s Speed of free flow on the side of the pedestrian u f Free flow velocity, k, for pedestrians on crosswalks j Density of pedestrian queue d The average maximum flow of the pedestrians entering the pedestrian crosswalk from the road side and the safety island is obtained;
step 4, calculating the time t from the green light on the road side to the time when all the lined pedestrians enter the pedestrian crossing d1 ，t d1 According to the formula t d1 ＝t dp1 +t dc1 Is obtained in which
Figure BDA0003768025320000044
Step 5, calculating the arrival rate lambda of the pedestrians queued at the road side to the safety island 2 According to the formula
Figure BDA0003768025320000045
Obtaining;
step 6, determining the interval relation between the far side of the roadside queue and the far side of the non-queue pedestrians reaching the safety island and the green light, wherein the interval relation is shown in the following formula
Figure BDA0003768025320000046
Step 6.1, calculating the time length t for controlling the green light to be turned on by the safety island signal (the nearest green light to be turned on) when the roadside first-row queued pedestrians reach 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 t for controlling the green light to be turned on by the safety island signal (the nearest green light to be turned on) when the last line of lined pedestrians at the roadside 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 t (nearest green light is lighted) for controlling the green light to be lighted by the safety island signal when the pedestrian entering the pedestrian crosswalk from the roadside reaches the far side of the safety island after the roadside green light is finished 3 Wherein t is 3 ＝mod[(t c1 +t c0 +g 1 -(C-t o )),C]；
Step 6.4, determine t 1 ，t 2 ，t 3 And g 2 In the size relationship of (1), wherein g 2 Step 7 of obtaining the parameters of the directions A and B from the steps 1 to 6 for the green light duration of the signal light of the safety island for the pedestrians to travel
Figure BDA0003768025320000047
A. And B are two directions for people to cross the street on the safety island, and are shown in an example figure 2. Example FIG. 2 is a computing scenario
Figure BDA0003768025320000048
Are respectively obtained
Figure BDA0003768025320000049
The pedestrian queuing requirement in the A direction is
Figure BDA00037680253200000410
The pedestrian queuing requirements in the B direction are
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 thereby, and any modifications made on the basis of the technical scheme according to the technical idea of the present invention fall within the protection scope of the present invention.

Claims (8)

1. A method for estimating the queuing requirement of pedestrians on a signal control pedestrian crossing safety island is characterized by comprising the following steps:
step 1, acquiring basic pedestrian street crossing information: obtaining the pedestrian arrival rate lambda of the road side 1 Signal control parameters, pedestrian crossings, safety islands geometry and pedestriansStreet crossing traffic flow parameter information;
step 2, calculating the average number N of lined pedestrians in each row on the road side r1 Pedestrian queuing at roadside forms wave velocity upsilon sp1 And an evanescent velocity v dp And the green light at the road side is turned on to line up the time t that all the pedestrians enter the pedestrian crossing d1 Arrival rate lambda of pedestrians queuing at road side to arrive at safety island 2 ；
Step 3, determining the interval relation between the far side of the roadside queue and non-queue pedestrians arriving at the safety island and the green light;
and 4, determining the pedestrian queuing requirement in the given direction on the safety island.
2. The method for estimating the pedestrian queuing requirement on the signal-controlled pedestrian crossing safety island according to claim 1, wherein the signal control parameter information in step 1 comprises: signal period duration C, roadside street crossing stage green light duration g 1 Time length g of green light at street crossing stage of safety island 2 Two-stage green phase difference t o (ii) a If only one group of signal lamps are controlled, the phase difference of the green light is zero; the pedestrian crossing traffic flow parameter information comprises: pedestrian road side and safety island pedestrian free flow speed u s Free flow velocity u on pedestrian crosswalk f Roadside and safety island ascending people queuing congestion density k j The average maximum flow q of the pedestrian entering the pedestrian crosswalk from the road side and the safety island d The geometric dimensions of the pedestrian crosswalk and the safety island are as follows: l is a radical of an alcohol 1 ，L 2 And L 0 The length of the first and second pedestrian crossings through which the pedestrian crosses the street, the length of the safety island and the width w of the pedestrian crossings are respectively.
3. The method according to claim 1, wherein N is N r1 According to the formula
Figure FDA0003768025310000011
Obtaining, wherein w is the pedestrian crossing width, lambda 1 Is the arrival rate of the pedestrian arriving at the roadside, C is the signal period duration,g 1 the green light duration is controlled for the pedestrian crossing the street.
4. The method as claimed in claim 1, wherein the method for estimating pedestrian queuing requirements on the pedestrian crossing safety island through signal control is characterized in that upsilon sp1 And v dp According to the formula respectively
Figure FDA0003768025310000012
And
Figure FDA0003768025310000013
obtaining, wherein λ 1 The pedestrian arrival rate at the roadside, u s Speed of free flow u on the side of pedestrian road f Speed of free flow, k, on pedestrian crosswalks j Density of pedestrian queue d The average maximum flow of the pedestrians entering the pedestrian crosswalk from the road side and the safety island is calculated in row units.
5. The method of claim 1, wherein t is t d1 According to the formula t d1 ＝t dp1 +t dc1 Is obtained in which
Figure FDA0003768025310000014
Where C is the signal cycle duration, g 1 Control green light duration u for pedestrian crossing street side f The speed of the free flow on the pedestrian crosswalk is determined.
6. The method of claim 1, wherein the arrival rate λ is a rate of arrival 2 According to the formula
Figure FDA0003768025310000021
Obtaining of u wherein s Speed of free flow, k, for pedestrian roadside and pedestrian ascending in islands of safety j Queuing up crowding density for people on the roadside and the safety island.
7. The method for estimating the pedestrian queuing requirement on the signal-controlled pedestrian crossing safety island according to claim 1, wherein the step 3 specifically comprises:
step 3.1, calculating the time length t for controlling the green light to be turned on by the safety island signal when the roadside first-row queuing pedestrian reaches the far side of the safety island 1 ；
Step 3.2, calculating the time length t for controlling the green light to be turned on by the signal of the safety island when the last line of lined pedestrians on the roadside reaches the far side of the safety island 2 ；
Step 3.3, calculating the time length t for the safety island signal to control the green light to be turned on when the pedestrian entering the pedestrian crosswalk from the road side reaches the far side of the safety island when the road side green light is finished 3 ；
Step 3.4, determining t 1 ，t 2 ，t 3 And g 2 In the size relationship of (1), wherein g 2 In order to control the time length of the green light of the pedestrian crosswalk signal lamp in the second stage after the pedestrian passes through the safety island.
8. The method of claim 7, wherein t is t 1 ，t 2 ，t 3 Respectively represented by the 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 to obtain the function mod [ x, y]To calculate the remainder of x divided by y, wherein
Figure FDA0003768025310000022
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