CN115775462A - Closed loop road network phase difference optimization method based on improved cut-off method - Google Patents

Closed loop road network phase difference optimization method based on improved cut-off method Download PDF

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CN115775462A
CN115775462A CN202211431269.6A CN202211431269A CN115775462A CN 115775462 A CN115775462 A CN 115775462A CN 202211431269 A CN202211431269 A CN 202211431269A CN 115775462 A CN115775462 A CN 115775462A
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phase difference
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road network
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CN115775462B (en
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刘本兴
孙锋
李大龙
焦方通
宋子文
赵鹏升
王晓庆
贾明武
杨梓艺
石中基
石镇玮
史占航
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Shandong Nast Transportation Technology Co ltd
Shandong University of Technology
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Abstract

A closed loop road network phase difference optimization method based on an improved cut-off method belongs to the technical field of traffic signal control. The method is characterized in that: the method comprises the following steps: s1, establishing a closed-loop road network connection priority level discrimination model based on fuzzy comprehensive evaluation, and determining a key intersection; s2, establishing a closed-loop road network phase difference optimization model based on an improved cut-off method; s3, determining a phase difference fine adjustment amount; and S4, obtaining a closed loop road network phase difference control scheme. When the optimal phase difference of the closed-loop road network intersection is determined, firstly, the grade of a connected road, the width of a green wave band, the saturation and the traffic volume are selected as evaluation factors on the basis of actual traffic parameters of the intersection and a closed-loop connecting line, a closed-loop road network connecting line priority grade discrimination model based on fuzzy comprehensive evaluation is established, and the delay time of vehicles in the closed-loop road network can be effectively reduced by carrying out phase difference optimization on a key intersection selected by the model.

Description

Closed loop road network phase difference optimization method based on improved cut-off method
Technical Field
A closed loop road network phase difference optimization method based on an improved cut-off method belongs to the technical field of traffic signal control.
Background
With the acceleration of the urbanization process and the high-speed increase of the number of motor vehicles, the problem of urban road network traffic jam is more prominent. The closed-loop road network is the most common road network form in the urban road network, and due to the inherent closed-loop topological structure, the optimal solution can not be obtained mostly in practical application, so that the problems of road network delay time increase, trunk line coordination benefit reduction and the like are caused.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the method overcomes the defects of the prior art, and provides the closed loop road network phase difference optimization method based on the improved cut-off method, which solves the problem of the closure of the phase difference of the closed loop road network and can improve the running benefit of vehicles in the closed loop road network.
The technical scheme adopted by the invention for solving the technical problem is as follows: the closed loop road network phase difference optimization method based on the improved cut-off method is characterized by comprising the following steps of: the method comprises the following steps:
s1, establishing a closed-loop road network connection priority level discrimination model based on fuzzy comprehensive evaluation, and determining a key intersection;
s2, establishing a closed-loop road network phase difference optimization model based on an improved cut-off method;
s3, determining a phase difference fine adjustment amount;
and S4, obtaining a closed loop road network phase difference control scheme.
Preferably, the step of establishing the closed loop road network connection priority level discrimination model is as follows:
s1.1, determining traffic parameters forming a closed-loop road network connection line;
s1.2, establishing a fuzzy comprehensive evaluation factor set of closed-loop road network connecting lines, and performing priority classification of different levels on all coordination connecting lines;
s1.3, selecting an intersection formed by two connecting lines with the highest priority as a key intersection, and adjusting the phase difference of the key intersection relative to an upstream intersection to realize the limitation of the phase difference closure of the closed-loop road network.
Preferably, in S2.2, the road grade, the green bandwidth, the saturation and the traffic volume are selected as four factors of a closed-loop road network connection fuzzy comprehensive evaluation factor set; and dividing the evaluation grade into four grades in a single closed-loop road network according to the number of the connecting lines formed by the closed-loop road network.
Preferably, the method for establishing the closed-loop road network phase difference optimization model comprises the following steps:
s2.1, improving a cut-off method based on a fine adjustment method;
s2.2, establishing a phase difference fine adjustment delay increment model;
s2.2, determining a value measuring range of the phase difference fine adjustment;
and S2.3, considering the delay increment of the two connecting lines at the key intersection at the same time, and establishing an objective function by taking the minimum delay increment of the two connecting lines as an optimization target.
Preferably, the method for improving the cut-off method is to set a phase difference fine adjustment amount for two connecting lines with the lowest priority in the closed-loop network, and perform phase difference optimization on the two connecting lines simultaneously to reduce the overall delay time of the closed-loop network.
Preferably, the method further comprises coordinating the phase delay increment D after fine adjustment of the phase difference a Comprises the following steps:
Figure BDA0003942134640000021
Figure BDA0003942134640000022
wherein l is the distance between the stop lines at two intersections, v is the average travel speed, q is the arrival rate, and S is the saturation flow rate,
Figure BDA0003942134640000023
in order to be the phase difference,
Figure BDA0003942134640000024
the amount of fine adjustment of the phase difference is,
Figure BDA0003942134640000025
to coordinate phase queuing vehicle dissipation time after fine tuning, R x A red light wait time.
Preferably, the method further comprises the following step of:
Figure BDA0003942134640000026
wherein, g 1 To queue dissipation time.
Preferably, the two intersections are out of phase
Figure BDA0003942134640000027
Comprises the following steps:
Figure BDA0003942134640000028
queue dissipation time g 1 Comprises the following steps:
Figure BDA0003942134640000029
preferably, the phase difference fine adjustment amount measurement range is as follows:
Figure BDA00039421346400000210
wherein,
Figure BDA0003942134640000031
and
Figure BDA0003942134640000032
respectively optimizing the phase difference of two connecting lines with high priority levels.
Preferably, the objective function is:
Figure BDA0003942134640000033
wherein D is t For the increase in delay of two links at a key intersection, D a,1 The coordinated phase delay increment for the highest priority of the connection is increased.
Compared with the prior art, the invention has the beneficial effects that:
the closed-loop road network phase difference optimization method based on the improved cut-off method takes the minimum delay of the closed-loop road network as an optimization target, and establishes a closed-loop road network phase difference optimization model based on the improved cut-off method, wherein the model not only reduces the negative influence on cut-off connecting lines, but also can improve the running benefit of the closed-loop road network; when the optimal phase difference of the closed-loop road network intersection is determined, firstly, the road grade of the connecting line, the green bandwidth, the saturation and the traffic volume are selected as evaluation factors on the basis of the actual traffic parameters of the intersection and the closed-loop connecting line, a closed-loop road network connecting line priority grade discrimination model based on fuzzy comprehensive evaluation is established, and the phase difference optimization is performed on the key intersection selected by the model, so that the delay time of vehicles in the closed-loop road network can be effectively reduced.
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FIG. 1 is a flow chart of the present invention.
Fig. 2 is a schematic diagram of a simple closed loop network according to the present invention.
Fig. 3 is a graphical representation of red light latency of the present invention.
FIG. 4 is a schematic diagram of coordinated phase delay at an intersection before coordination according to the present invention.
FIG. 5 is a schematic diagram of coordinated phase delay increments at an intersection after coordination according to the invention.
Detailed Description
The present invention is further described with reference to the following detailed description, however, it should be understood by those skilled in the art that the detailed description given herein with respect to the accompanying drawings is for better explanation and that the present invention is not necessarily limited to the specific embodiments, but rather, for equivalent alternatives or common approaches, may be omitted from the detailed description, while still remaining within the scope of the present application.
Fig. 1 to 5 show preferred embodiments of the present invention, and the present invention will be further described with reference to fig. 1 to 5.
As shown in fig. 1: the method comprises the steps of firstly selecting a closed-loop road network, then determining a key intersection through an established closed-loop road network connection priority discrimination model based on fuzzy comprehensive evaluation, and then obtaining a coordination control scheme for overcoming phase difference closure and enabling the closed-loop road network to delay the lowest phase difference through an established closed-loop road network phase difference optimization model based on an improved cut-off method.
The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method comprises the following steps:
s1, establishing a closed-loop road network connection priority level discrimination model based on fuzzy comprehensive evaluation, and determining a key intersection;
s2, establishing a closed-loop road network phase difference optimization model based on an improved cut-off method;
s3, determining a phase difference fine adjustment amount;
and S4, obtaining a closed-loop road network phase difference control scheme.
The method for establishing the closed-loop road network connection priority level discrimination model based on the fuzzy comprehensive evaluation comprises the following steps:
s1.1, determining traffic parameters forming a closed-loop road network connection line;
s1.2, establishing a fuzzy comprehensive evaluation factor set of closed-loop road network connecting lines, and performing priority classification of different levels on all coordination connecting lines;
s1.3, selecting an intersection consisting of two connecting lines with the highest priority as a key intersection, and adjusting the phase difference of the key intersection relative to an upstream intersection to realize the limitation of the phase difference closure of the closed-loop road network.
Specifically, road grades, saturation and traffic volumes of the four connecting lines and a signal timing scheme of an intersection are investigated, and green wave band widths of the four connecting lines are obtained through solving based on a numerical solution.
The closed loop road network is composed of four connecting lines S 1 、S 2 、S 3 、S 4 And four intersections I 1 、I 2 、I 3 、I 4 The composition of a common closed loop network is shown in fig. 2.
Selecting road grade, green bandwidth, saturation and traffic as four elements of factor set, evaluating factor set U of closed loop road network connection 1 ={u 1 ,u 2 ,u 3 ,u 4 = { road grade, green bandwidth, saturation, traffic }.
Priority division of different levels is performed on all coordination connection lines, so that there are many connection lines and finally there are many coordination priority levels. Therefore, this evaluation level V 1 ={v 1 ,v 2 ,v 3 ,v 4 = 1, 2, 3, 4, with 1 having the highest priority and 4 having the lowest priority.
Let A 1 ={a 1 ,a 2 ,a 3 ,a 4 } = {0.25,0.25 } assigns a fuzzy vector for the weight, where a i Weight representing the ith factor, A reflecting each factorThe importance degree of the model is determined by adopting a weighted average method to determine the weight.
Evaluating the evaluation objects respectively from a factor to determine the membership degree of the evaluation objects to the evaluation set V, and after constructing a hierarchical fuzzy subset, evaluating the evaluated objects one by one from each factor u i And quantizing to determine the membership degree of the evaluated object to each level of fuzzy subset from a single factor, and further obtaining a fuzzy relation matrix R.
Figure BDA0003942134640000041
The intersection consisting of the connecting lines with the priority levels of 3 and 4 is a key intersection, and the limitation of the phase difference closure of the closed loop road network is realized by adjusting the phase difference of the key intersection relative to the upstream intersection.
The method for establishing the closed-loop road network phase difference optimization model based on the improved cut-off method comprises the following steps:
s2.1, improving a cut-off method based on a fine adjustment method;
s2.2, establishing a phase difference fine adjustment delay increment model;
s2.2, determining a phase difference fine adjustment measuring value range;
and S2.3, considering delay increment of two connecting lines at the key intersection at the same time, and establishing an objective function by taking the minimum integral delay increment of the two connecting lines as an optimization target.
Specifically, as shown in fig. 2, it is assumed that the closed-loop network is respectively assigned to S in the clockwise direction 1 、S 2 、S 3 And S 4 Coordinating, after coordinating I 1 、I 2 、I 3 And I 4 Respectively have a phase difference of
Figure BDA0003942134640000051
Because all the intersections in the road network have unique phase difference, the last intersection I 3 Relative to intersection I 4 Can be obtained directly, rather than by using a trunk coordination method, and thusWhen the road section is operated, the optimal coordination effect cannot be obtained, and because the difference value of the starting points of each flow direction of the intersection is w, if four main lines form a closed loop, closed loop constraint is formed as follows:
Figure BDA0003942134640000052
wherein C is the duration of the common period, and n is a positive integer.
In order to solve the inherent closure problem of the phase difference of the closed-loop network, a cut-off method is used for dividing priority levels of four intersection connecting lines forming the closed-loop network by selecting a certain trunk line evaluation index, wherein the trunk line with the lowest priority level is called a cut-off connecting line, and the optimization index of other connecting lines in the area of the closed-loop network is optimized by sacrificing the phase difference optimization weight of the cut-off connecting line. Although the method solves the problem of closure of the phase difference of the closed-loop circuit network, if the phase difference between the closed phase difference and the optimized phase difference of the cut-off connecting line is larger, the method will definitely generate larger negative influence on the cut-off connecting line, so that the coordination optimization effect of the system is poor.
Different from the cut-off method, the fine adjustment method is to perform fine adjustment on all the phase differences of the four connecting lines, so that certain deviation exists between the actual phase differences and the optimized phase differences of the four connecting lines in the closed-loop road network.
In order to overcome the defects of the cut-off method, the model combines the thought of a phase difference fine adjustment method of a closed-loop road network to perform fine adjustment on the connecting lines with the priority levels of 3 and 4 in the closed-loop road network, so that the negative influence on the cut-off connecting lines is reduced, and the minimum delay of the closed-loop road network can be realized.
When the main line coordination is carried out, the vehicles released by the green light later-period coordination phase are in a free arrival-driving away state, the time distance of the vehicle head is relatively large, and the vehicle release rate in the green light later period is low. Therefore, in this case, in order to improve the traffic capacity of the coordinated phase at the main line intersection and reduce the green light loss time, the red light waiting time R is set when the main line coordination is carried out x So that the first vehicle at the upstream crossing to coordinate phase release waits for R when arriving at the downstream crossing x And the vehicles arriving subsequently are queued, so that the vehicles in the coordinated phase are released at a higher flow rate as far as possible, and the traffic efficiency of the vehicles is improved. The red light latency diagram is shown in fig. 3.
The distance between the stop lines of the two intersections is l, the average travel speed is v, the arrival rate q and the saturation flow rate S are 1650pcu/h, and the queuing dissipation time g 1 Phase difference of
Figure BDA0003942134640000061
The delay time D of the phase-coordinated vehicles at the intersection before the phase difference coordination of the closed-loop road network is as follows, the fine adjustment quantity of the phase difference is
Figure BDA0003942134640000062
Coordinating phase in-line vehicle dissipation time after fine tuning to
Figure BDA0003942134640000063
Coordinating phase delay increment D after phase difference fine adjustment a
Red light latency R considering settings x Phase difference between two intersections
Figure BDA0003942134640000064
Comprises the following steps:
Figure BDA0003942134640000065
the model assumes that the vehicles arriving at the upstream obey uniform distribution, and coordinates the phase green time start g to release the red waiting time for arriving at the vehicles 1 Seconds the queued vehicles are released at the saturated flow rate.
Figure BDA0003942134640000066
Only the trunk line coordination is carried out, and when the closed loop road network region coordination is not considered, the intersection coordination phase vehicle delay time D is as follows:
Figure BDA0003942134640000067
the schematic diagram of the coordinated phase delay of the intersection before the coordination of the closed-loop road network is shown in FIG. 4.
When closed-loop road network coordination is performed on the basis of trunk line coordination, in order to reduce negative influence on cut-off connecting lines and delay, phase difference fine adjustment needs to be performed on two connecting lines with lower priority levels in the closed-loop road network, and the phase difference fine adjustment amount is
Figure BDA0003942134640000068
Coordinating phase delay increment D after phase difference fine adjustment a Comprises the following steps:
Figure BDA0003942134640000071
Figure BDA0003942134640000072
the schematic diagram of the intersection coordination phase delay after the closed loop network coordination is shown in figure 5.
Optimized phase difference with connection priority level of 4
Figure BDA0003942134640000073
Optimized phase difference with connection priority level of 3
Figure BDA0003942134640000074
Coordinated phase delay increment of link priority level 4 is D a,1 The coordinated phase delay increment of link priority level 4 is D a,2
Fine adjustment of phase difference
Figure BDA0003942134640000075
A certain value range needs to be set so as to enable the phase difference after fine adjustment
Figure BDA0003942134640000076
Between the optimized phase difference of two connecting lines at the key intersection,
Figure BDA0003942134640000077
the value range is as follows:
Figure BDA0003942134640000078
in order to minimize the delay of the road network, the delay increment D of two connecting lines of the key intersection needs to be considered at the same time t An objective function with the minimum delay increment of the whole two connecting lines as an optimization target
Figure BDA0003942134640000079
As follows.
Figure BDA00039421346400000710
The method determines the key intersection through the established closed-loop road network connection line priority discrimination model based on fuzzy comprehensive evaluation, realizes the improvement of the cut-off method of the closed-loop road network by combining the solution idea of the fine adjustment method, establishes the closed-loop road network phase difference optimization model based on the improved cut-off method by taking the phase difference increment as the optimization variable and taking the minimum delay of the closed-loop road network as the optimization target, and obtains the phase difference coordination control scheme of the intersection of the closed-loop road network through calculation, thereby not only overcoming the closure problem of the phase difference of the closed-loop road network, but also improving the operation benefit of the closed-loop road network.
The foregoing is directed to preferred embodiments of the present invention, other and further embodiments of the invention may be devised without departing from the basic scope thereof, and the scope thereof is determined by the claims that follow. However, any simple modification, equivalent change and modification of the above embodiments according to the technical essence of the present invention are within the protection scope of the technical solution of the present invention.

Claims (10)

1. A closed loop road network phase difference optimization method based on an improved cut-off method is characterized by comprising the following steps: the method comprises the following steps:
s1, establishing a closed-loop road network connection priority level discrimination model based on fuzzy comprehensive evaluation, and determining a key intersection;
s2, establishing a closed-loop road network phase difference optimization model based on an improved cut-off method;
s3, determining a phase difference fine adjustment amount;
and S4, obtaining a closed-loop road network phase difference control scheme.
2. The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method as claimed in claim 1, wherein: the steps of establishing a closed loop road network connection priority discrimination model are as follows:
s1.1, determining traffic parameters forming a closed-loop road network connection line;
s1.2, establishing a fuzzy comprehensive evaluation factor set of closed-loop road network connecting lines, and performing priority classification of different levels on all coordination connecting lines;
s1.3, selecting an intersection formed by two connecting lines with the highest priority as a key intersection, and adjusting the phase difference of the key intersection relative to an upstream intersection to realize the limitation of the phase difference closure of the closed-loop road network.
3. The closed loop road network phase difference optimization method based on the improved cut-off method as claimed in claim 2, wherein: s2.2, selecting the road grade, the green bandwidth, the saturation and the traffic volume as four factors of a closed-loop road network connection line fuzzy comprehensive evaluation factor set; and dividing the evaluation grade into four grades in a single closed-loop road network according to the number of the connecting lines of the closed-loop road network.
4. The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method as claimed in claim 1, wherein: the method for establishing the closed-loop road network phase difference optimization model comprises the following steps:
s2.1, improving a cut-off method based on a fine adjustment method;
s2.2, establishing a phase difference fine-tuning delay increment model;
s2.2, determining a phase difference fine adjustment measuring value range;
and S2.3, considering the delay increment of the two connecting lines at the key intersection at the same time, and establishing an objective function by taking the minimum delay increment of the two connecting lines as an optimization target.
5. The closed loop road network phase difference optimization method based on the improved cut-off method as claimed in claim 4, wherein: the method for improving the cut-off method is to set a phase difference fine adjustment amount for two connecting lines with the lowest priority in the closed-loop road network, and the two connecting lines simultaneously carry out phase difference optimization so as to reduce the overall delay time of the closed-loop road network.
6. The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method as claimed in claim 4 or 5, wherein: the method also comprises coordinating the phase delay increment D after fine adjustment of the phase difference a Comprises the following steps:
Figure FDA0003942134630000011
Figure FDA0003942134630000021
wherein l is the distance between the stop lines at two intersections, v is the average travel speed, q is the arrival rate, and S is the saturation flow rate,
Figure FDA0003942134630000022
in order to be the phase difference,
Figure FDA0003942134630000023
the amount of fine adjustment of the phase difference is,
Figure FDA0003942134630000024
to coordinate phase queuing vehicle dissipation time after fine tuning, R x Red light latency.
7. The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method as claimed in claim 6, wherein: the method also comprises the following step that the intersection coordination phase vehicle delay time D is as follows:
Figure FDA0003942134630000025
wherein, g 1 To queue dissipation time.
8. The method for optimizing the phase difference of the closed-loop road network based on the improved cut-off method as claimed in claim 7, wherein: phase difference between two intersections
Figure FDA0003942134630000026
Comprises the following steps:
Figure FDA0003942134630000027
queue dissipation time g 1 Comprises the following steps:
Figure FDA0003942134630000028
9. the closed loop road network phase difference optimization method based on the improved cut-off method as claimed in claim 4, wherein: the phase difference fine tuning measurement value range is as follows:
Figure FDA0003942134630000029
wherein,
Figure FDA00039421346300000210
and
Figure FDA00039421346300000211
respectively optimizing the phase difference of two connecting lines with high priority levels.
10. The closed loop road network phase difference optimization method based on the improved cut-off method as claimed in claim 4, wherein: the objective function is as follows:
Figure FDA00039421346300000212
wherein D is t For the increase in delay of two links at a key intersection, D a,1 The coordinated phase delay increment with the highest connection priority level is obtained.
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