CN113971888A - Ramp merging traffic control method and system based on traffic accident number estimation - Google Patents

Ramp merging traffic control method and system based on traffic accident number estimation Download PDF

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CN113971888A
CN113971888A CN202111174617.1A CN202111174617A CN113971888A CN 113971888 A CN113971888 A CN 113971888A CN 202111174617 A CN202111174617 A CN 202111174617A CN 113971888 A CN113971888 A CN 113971888A
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CN113971888B (en
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刘津强
赵万忠
董坤
邹松春
王春燕
吴刚
高犇
张森皓
梁为何
徐坤豪
张从余
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Nanjing University of Aeronautics and Astronautics
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/07Controlling traffic signals
    • G08G1/075Ramp control
    • 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
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G1/00Traffic control systems for road vehicles
    • G08G1/07Controlling traffic signals
    • G08G1/08Controlling traffic signals according to detected number or speed of vehicles

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Abstract

The invention discloses a ramp merging traffic control method and system based on traffic accident number estimation, which comprises the following steps: acquiring the state quantity at the current moment; building a ramp merging traffic model; estimating the total possible accident number; calculating the total time consumption; establishing a ramp merging traffic control problem as a nonlinear optimal control problem; and solving the optimal control problem to obtain the optimal entry rate of the vehicles on the ramps of each road section. According to the method, the estimated total possible accident quantity and total time consumption are introduced into the objective function, the optimal ramp vehicle entering rate of each road section is solved, the traffic accident risk is reduced, and the traffic efficiency of the ramp merging area is improved.

Description

Ramp merging traffic control method and system based on traffic accident number estimation
Technical Field
The invention belongs to the technical field of intelligent traffic systems, and particularly relates to a ramp merging traffic control method and system based on traffic accident number estimation.
Background
The ramp convergence area is always an area with frequent traffic accidents and congestion. The merging of vehicles on the ramp causes the section traffic flow of the main line road to increase rapidly, and often causes large-scale congestion in the merging area. In addition, because the density of vehicles in the area is too high, the interaction between the vehicles is too tight, and traffic accidents are easily caused. At present, the technology of an intelligent traffic system is rapidly developed, and the main development trend is to adopt intelligent road side equipment to construct the intelligent traffic system to regulate and control the traffic state.
Some studies have proposed some effective solutions to the ramp afflux problem. The invention discloses a ramp entrance traffic control method based on radar in Chinese patent application No. CN202010500454.0, which is named as a ramp entrance traffic control system and method based on radar. The invention discloses a Chinese patent application number CN201810907648.5, which is named as an urban expressway entrance ramp control method based on queuing length, and provides an urban expressway entrance ramp control method based on queuing length. However, although the existing method can improve the congestion problem caused by the ramp merging, the traffic accident risk possibly occurring in the ramp merging area is not considered, and further improvement is needed in the aspect of reducing the traffic safety risk.
Disclosure of Invention
In view of the above-mentioned deficiencies of the prior art, the present invention provides a method and a system for controlling ramp-in traffic based on traffic accident number estimation, which are used for analyzing the relationship between traffic density and traffic accident number and establishing a traffic accident number estimation model; the estimated total possible accident quantity and total time consumption are introduced into an objective function, the optimal ramp vehicle entering rate of each road section is solved, the traffic accident risk is reduced, and the traffic efficiency of the ramp merging area is improved.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
the invention discloses a ramp afflux traffic control method based on traffic accident number estimation, which comprises the following steps:
1) dividing the road into N sections along the road direction, wherein the length of each section is L, and the number of lanes of the ith section of main line road is lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
2) building a ramp merging traffic model DM; solving traffic density rho of each road section at current momenti(0) Average traffic speed vi(0) Queuing length l of rampi(0) Upstream traffic flow d of rampi(0) Substituting the traffic state quantity obtained by the solving into a ramp and importing the ramp into a traffic model to initialize the ramp and importing the ramp into the traffic model;
3) establishing a ramp merging traffic control problem as a discrete-time nonlinear optimal control problem:
Figure BDA0003294873020000021
s.t.DM
Figure BDA0003294873020000022
in the formula, ζs、ζtAnd
Figure BDA0003294873020000023
is a weight; TATS is the total possible accident number of a road with 1 kilometer of unit time; TATSncIs a constant used to regularize TATS; TTS is the total time consumption; TTSncIs a constant for regularizing the TTS; mu is the optimal entering rate of the ramp vehicles of each road section in the control time domain, and mu is { mu ═ mu12,...,μN};μi(k) The optimal entering rate of the ramp vehicles of the ith road at the kT moment is, if the ith road has no ramp, mui(k)=0;
Figure BDA0003294873020000024
Is the minimum entry rate;
4) solving the optimal control problem in the step 3) to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain; and controlling traffic light equipment at the ramp junction of each road section according to the optimal entry rate of the ramp vehicles of each road section in the first time step in the control time domain, so that the ratio of the green light starting time to the whole traffic light period is equal to the optimal entry rate.
Further, the ramp merging traffic model in the step 2) is as follows:
Figure BDA0003294873020000025
Figure BDA0003294873020000026
li(k+1)=li(k)+T[di(k)-ri(k)]
qi(k)=ρi(k)λivi(k)
Figure BDA0003294873020000027
Figure BDA0003294873020000028
in the formula, ρi(k) Is the traffic density of the ith road segment at the moment of kT; q. q.si(k) Is at a time interval [ kT, (k +1) T]The exit traffic flow of the ith road; v. ofi(k) Is the average traffic speed of the ith road segment at the moment of kT; li(k) Is the queuing length of waiting vehicles on the ramp of the ith road section at the moment of kT; r isi(k) Is at a time interval [ kT, (k +1) T]The traffic flow of the main line road driven by the vehicles on the ramp of the ith road; di(k) Is the upstream traffic flow of the ramp of the ith road segment at the moment of kT;
Figure BDA0003294873020000029
is the critical traffic density;
Figure BDA00032948730200000210
is the density of traffic causing congestion;
Figure BDA00032948730200000211
is the free traffic flow velocity;
Figure BDA00032948730200000212
the maximum driving traffic flow of the ramp is obtained; tau, chi, delta, chicAnd m and l are model parameters and are adjusted through traffic data fitting.
Further, the traffic density of each road segment at the current moment is as follows:
Figure BDA0003294873020000031
in the formula, Mi(0) For the ith road section at the current momentThe number of vehicles;
the average traffic speed of each road section at the current moment is as follows:
Figure BDA0003294873020000032
in the formula, vi,j(0) Is the speed of vehicle j in the ith road segment;
the queuing length l of each road section ramp at the current momenti(0) Upstream traffic flow d of the on-rampi(0) Directly obtained by road side equipment on the ramp.
Further, the total possible accident number in the step 3) is:
TATS=MTAT+RTAT
in the formula, MTAT is the number of possible accidents of a road of 1 km per unit time of a main line road, and is solved by the following formula:
Figure BDA0003294873020000033
Figure BDA0003294873020000034
in the formula, sm,ii(k) Number of accidents per million kilometers of vehicles in the main road; alpha is alphai、σ0,i、σ1,i、σ2,i、σ3,i、κiIs a constant parameter which is a constant value,
Figure BDA0003294873020000035
the traffic density threshold value is obtained by fitting according to actual traffic data; RTAT is the number of possible accidents per unit time of 1 km of road on the ramp, which is solved by the following formula:
Figure BDA0003294873020000041
Figure BDA0003294873020000042
in the formula (I), the compound is shown in the specification,
Figure BDA0003294873020000043
the traffic average speed of the ramp of the ith road section; sr,i(di(k) Number of accidents per million vehicle kilometers of ramp.
Further, the total time consumed in the step 3) is as follows:
Figure BDA0003294873020000044
the invention also provides a ramp afflux traffic control system based on traffic accident number estimation, which comprises:
a road division module for dividing the road into N sections along the road direction, each section having a length of L, the number of lanes of the i-th section of the mainline road being lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
the model building module is used for building a ramp merging traffic model DM;
a calculation module for solving the traffic density rho of each road section at the current momenti(0) Average traffic speed vi(0) Queuing length l of rampi(0) Upstream traffic flow d of rampi(0) Substituting the traffic state quantity obtained by the solving into a ramp and importing the ramp into a traffic model to initialize the ramp and importing the ramp into the traffic model;
the problem establishing module is used for establishing a discrete-time nonlinear optimal control problem of the traffic control problem of the ramp convergence;
the optimization solving module is used for solving an optimal control problem to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain;
and the control module is used for controlling traffic light equipment at the ramp junction of each road section according to the optimal entry rate of the ramp vehicle of each road section in the first time step in the control time domain, so that the ratio of the green light lighting time to the whole traffic light period is equal to the optimal entry rate.
The invention has the beneficial effects that:
the method analyzes the relation between the traffic density and the number of the traffic accidents, establishes a traffic accident number estimation model, and introduces the estimated total possible accident number and total time into an optimal control objective function, so that the ramp merging traffic control is safer and more efficient, the traffic accident risk is reduced, and the traffic efficiency of the ramp merging area is improved.
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FIG. 1 is a flow chart of the method of the present invention.
Fig. 2 is a traffic diagram of ramp merging.
Detailed Description
In order to facilitate understanding of those skilled in the art, the present invention will be further described with reference to the following examples and drawings, which are not intended to limit the present invention.
Referring to fig. 1, the ramp merging traffic control method based on traffic accident number estimation according to the present invention includes the following steps:
1) dividing the road into N sections along the road direction, wherein the length of each section is L, and the number of lanes of the ith section of main line road is lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
2) building a ramp merging traffic model DM; solving traffic density rho of each road section at current momenti(0) Average traffic speed vi(0) Queuing length l of rampi(0) Upstream traffic flow d of rampi(0) Substituting the traffic state quantity obtained by the solving into a ramp and importing the ramp into a traffic model to initialize the ramp and importing the ramp into the traffic model;
referring to fig. 2, the ramp merging traffic model in step 2) is:
Figure BDA0003294873020000051
Figure BDA0003294873020000052
li(k+1)=li(k)+T[di(k)-ri(k)]
qi(k)=ρi(k)λivi(k)
Figure BDA0003294873020000053
Figure BDA0003294873020000054
in the formula, ρi(k) Is the traffic density of the ith road segment at the moment of kT; q. q.si(k) Is at a time interval [ kT, (k +1) T]The exit traffic flow of the ith road; v. ofi(k) Is the average traffic speed of the ith road segment at the moment of kT; li(k) Is the queuing length of waiting vehicles on the ramp of the ith road section at the moment of kT; r isi(k) Is at a time interval [ kT, (k +1) T]The traffic flow of the main line road driven by the vehicles on the ramp of the ith road; di(k) Is the upstream traffic flow of the ramp of the ith road segment at the moment of kT;
Figure BDA0003294873020000055
is the critical traffic density;
Figure BDA0003294873020000056
is the density of traffic causing congestion;
Figure BDA0003294873020000057
is the free traffic flow velocity;
Figure BDA0003294873020000058
the maximum driving traffic flow of the ramp is obtained; tau, chi, delta, chicAnd m and l are model parameters and are adjusted through traffic data fitting.
Wherein the traffic density of each road section at the current moment is as follows:
Figure BDA0003294873020000061
in the formula, Mi(0) The number of vehicles in the ith road at the current moment is the number of the vehicles in the ith road;
the average traffic speed of each road section at the current moment is as follows:
Figure BDA0003294873020000062
in the formula, vi,j(0) Is the speed of vehicle j in the ith road segment;
the queuing length l of each road section ramp at the current momenti(0) Upstream traffic flow d of the on-rampi(0) Directly obtained by road side equipment on the ramp.
3) Establishing a ramp merging traffic control problem as a discrete-time nonlinear optimal control problem:
Figure BDA0003294873020000063
s.t.DM
Figure BDA0003294873020000064
in the formula, ζs、ζtAnd
Figure BDA0003294873020000065
is a weight; TATS is the total possible accident number of a road with 1 kilometer of unit time; TATSncIs a constant used to regularize TATS; TTS is the total time consumption; TTSncIs a constant for regularizing the TTS; mu is the optimal entering rate of the ramp vehicles of each road section in the control time domain, and mu is { mu ═ mu12,...,μN};μi(k) The optimal entering rate of the ramp vehicles of the ith road at the kT moment is, if the ith road has no ramp, mui(k)=0;
Figure BDA0003294873020000066
Is the minimum entry rate;
wherein, the total possible accident number is:
TATS=MTAT+RTAT
in the formula, MTAT is the number of possible accidents of a road of 1 km per unit time of a main line road, and is solved by the following formula:
Figure BDA0003294873020000067
Figure BDA0003294873020000068
in the formula, sm,ii(k) Number of accidents per million kilometers of vehicles in the main road; alpha is alphai、σ0,i、σ1,i、σ2,i、σ3,i、κiIs a constant parameter which is a constant value,
Figure BDA0003294873020000071
the traffic density threshold value is obtained by fitting according to actual traffic data; RTAT is the number of possible accidents per unit time of 1 km of road on the ramp, which is solved by the following formula:
Figure BDA0003294873020000072
Figure BDA0003294873020000073
in the formula (I), the compound is shown in the specification,
Figure BDA0003294873020000074
ramp for i-th roadAverage speed of traffic of; sr,i(di(k) Number of accidents per million vehicle kilometers of ramp.
The total time spent was:
Figure BDA0003294873020000075
4) solving the optimal control problem in the step 3) to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain; and the road testing equipment controls traffic light equipment at the ramp junction of each road section according to the optimal entry rate of ramp vehicles of each road section in the first time step in the control time domain, so that the ratio of the green light lighting time to the whole traffic light period is equal to the optimal entry rate.
The invention also provides a ramp afflux traffic control system based on traffic accident number estimation, which comprises:
a road division module for dividing the road into N sections along the road direction, each section having a length of L, the number of lanes of the i-th section of the mainline road being lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
the model building module is used for building a ramp merging traffic model DM;
a calculation module for solving the traffic density rho of each road section at the current momenti(0) Average traffic speed vi(0) Queuing length l of rampi(0) Upstream traffic flow d of rampi(0) Substituting the traffic state quantity obtained by the solving into a ramp and importing the ramp into a traffic model to initialize the ramp and importing the ramp into the traffic model;
the problem establishing module is used for establishing a discrete-time nonlinear optimal control problem of the traffic control problem of the ramp convergence;
the optimization solving module is used for solving an optimal control problem to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain;
and the control module is used for controlling traffic light equipment at the ramp junction of each road section according to the optimal entry rate of the ramp vehicle of each road section in the first time step in the control time domain, so that the ratio of the green light lighting time to the whole traffic light period is equal to the optimal entry rate.
While the invention has been described in terms of its preferred embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention.

Claims (6)

1. A ramp afflux traffic control method based on traffic accident number estimation is characterized by comprising the following steps:
1) dividing the road into N sections along the road direction, wherein the length of each section is L, and the number of lanes of the ith section of main line road is lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
2) building a ramp merging traffic model DM; solving traffic density rho of each road section at current momenti(0) Average traffic speed vi(0) Queuing length l of rampi(0) Upstream traffic flow d of rampi(0) Substituting the traffic state quantity obtained by the solving into a ramp and importing the ramp into a traffic model to initialize the ramp and importing the ramp into the traffic model;
3) establishing a ramp merging traffic control problem as a discrete-time nonlinear optimal control problem:
Figure FDA0003294873010000011
s.t.DM
Figure FDA0003294873010000012
in the formula, ζs、ζtAnd
Figure FDA0003294873010000013
is a weight; TATS is the total possible accident number of a road with 1 kilometer of unit time; TATSncIs a constant used to regularize TATS; TTS is the total time consumption; TTSncIs a constant for regularizing the TTS; mu is the optimal entering rate of the ramp vehicles of each road section in the control time domain, and mu is { mu ═ mu12,...,μN};μi(k) The optimal entering rate of the ramp vehicles of the ith road at the kT moment is, if the ith road has no ramp, mui(k)=0;
Figure FDA0003294873010000014
Is the minimum entry rate;
4) solving the optimal control problem in the step 3) to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain; and controlling traffic light equipment at the ramp junction of each road section according to the optimal entry rate of the ramp vehicles of each road section in the first time step in the control time domain, so that the ratio of the green light starting time to the whole traffic light period is equal to the optimal entry rate.
2. The ramp-merging traffic control method based on the traffic accident number estimation according to claim 1, wherein the ramp-merging traffic model in the step 2) is:
Figure FDA0003294873010000015
Figure FDA0003294873010000016
li(k+1)=li(k)+T[di(k)-ri(k)]
qi(k)=ρi(k)λivi(k)
Figure FDA0003294873010000017
Figure FDA0003294873010000018
in the formula, ρi(k) Is the traffic density of the ith road segment at the moment of kT; q. q.si(k) Is at a time interval [ kT, (k +1) T]The exit traffic flow of the ith road; v. ofi(k) Is the average traffic speed of the ith road segment at the moment of kT; li(k) Is the queuing length of waiting vehicles on the ramp of the ith road section at the moment of kT; r isi(k) Is at a time interval [ kT, (k +1) T]The traffic flow of the main line road driven by the vehicles on the ramp of the ith road; di(k) Is the upstream traffic flow of the ramp of the ith road segment at the moment of kT;
Figure FDA0003294873010000021
is the critical traffic density;
Figure FDA0003294873010000022
is the density of traffic causing congestion;
Figure FDA0003294873010000023
is the free traffic flow velocity;
Figure FDA0003294873010000024
the maximum driving traffic flow of the ramp is obtained; tau, chi, delta, chicAnd m and l are model parameters and are adjusted through traffic data fitting.
3. The ramp afflux traffic control method according to claim 2, wherein the traffic density of each road segment at the current time is:
Figure FDA0003294873010000025
in the formula, Mi(0) The number of vehicles in the ith road at the current moment is the number of the vehicles in the ith road;
the average traffic speed of each road section at the current moment is as follows:
Figure FDA0003294873010000026
in the formula, vi,j(0) Is the speed of vehicle j in the ith road segment;
the queuing length l of each road section ramp at the current momenti(0) Upstream traffic flow d of the on-rampi(0) Directly obtained by road side equipment on the ramp.
4. The method for controlling the merging of the ramp based on the traffic accident number estimation according to claim 2, wherein the total number of possible accidents in the step 3) is as follows:
TATS=MTAT+RTAT
in the formula, MTAT is the number of possible accidents of a road of 1 km per unit time of a main line road, and is solved by the following formula:
Figure FDA0003294873010000027
Figure FDA0003294873010000028
in the formula, sm,ii(k) Number of accidents per million kilometers of vehicles in the main road; alpha is alphai、σ0,i、σ1,i、σ2,i、σ3,i、κiIs a constant parameter which is a constant value,
Figure FDA0003294873010000031
the traffic density threshold value is obtained by fitting according to actual traffic data; RTAT is the number of possible accidents per unit time of 1 km of road on the ramp, which is limited bySolving the formula:
Figure FDA0003294873010000032
Figure FDA0003294873010000033
in the formula (I), the compound is shown in the specification,
Figure FDA0003294873010000034
the traffic average speed of the ramp of the ith road section; sr,i(di(k) Number of accidents per million vehicle kilometers of ramp.
5. The method for controlling the merging of the ramps into the traffic according to the estimation of the number of the traffic accidents according to the claim 2, wherein the total time consumption in the step 3) is as follows:
Figure FDA0003294873010000035
6. a ramp-merging traffic control system based on traffic accident number estimation, comprising:
a road division module for dividing the road into N sections along the road direction, each section having a length of L, the number of lanes of the i-th section of the mainline road being lambdai(ii) a Dividing a control time domain into K time steps, wherein each time step is T, i is 1,2, …, N;
the model building module is used for building a ramp merging traffic model DM;
the calculation module is used for solving the traffic density, the average traffic speed, the ramp queuing length and the upstream traffic flow of the ramp of each road section at the current moment, and substituting the traffic state quantity obtained by the solution into the ramp and importing the traffic model to initialize the ramp and importing the traffic model;
the problem establishing module is used for establishing a discrete-time nonlinear optimal control problem of the traffic control problem of the ramp convergence;
the optimization solving module is used for solving an optimal control problem to obtain the optimal entry rate of the ramp vehicles of each road section at each moment in the control time domain;
and the control module is used for controlling traffic light equipment at the ramp junction of each road section according to the optimal entry rate of the ramp vehicle of each road section in the first time step in the control time domain, so that the ratio of the green light lighting time to the whole traffic light period is equal to the optimal entry rate.
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