Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 511-523.doi: 10.13229/j.cnki.jdxbgxb20200025

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Offset optimization with minimum average vehicle delay

Dian-hai WANG(),Xin-yi SHEN,Xiao-qin LUO,Sheng JIN()   

  1. College of Civil Engineering and Architecture，Zhejiang University，Hangzhou 310027，China
  • Received:2020-01-11 Online:2021-03-01 Published:2021-02-09
  • Contact: Sheng JIN E-mail:wangdianhai@zju.edu.cn;jinsheng@zju.edu.cn

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Abstract:

Based on arrival-departure pattern， a unit delay model of coordinated control was proposed with the offset as the independent variable. The offset was optimized with the goal of minimizing unit delay. A numerical case was used to illustratd the application process of the offset optimization algorithm. Based on microscopic simulation， the influencing factors of the optimal offset value were analyzed. The results indicate that initial queuing has no effect on the optimal offset value. If there exists is a stranded queue， the optimal offset is postponed a few seconds after the head car arrives. When the distance between two intersections increases， the postponed time increases， and when the coordinated flow or the flow-in increases， the optimal offset increases.

Key words: engineering of communications and transportation system, coordinated control, offset, unit delay, arrival pattern

CLC Number: 

  • U491

Fig.1

Control scene and signal settings"

Fig.2

Diagram of total delay"

Fig.3

Cumulative delay when n=0"

Fig.4

Delay of initial queuing when n=0"

Fig.5

Cumulative delay when n>0"

Fig.6

Delay of initial queuing when n>0"

Fig.7

Simplified arrival pattern"

Table 1

Parameter settings of simplified arrival pattern"

参数协调方向
i-1→ii→i-1
初始排队车辆数m/veh00
[p,p+T)时间段/s[20,60)[20,60)
[p,p+T)段内到达流率q1/(veh·h-1)12001200
非[p,p+T)段内到达流率q2/(veh·h-1)200200

Fig.8

Results of numerical case"

Fig.9

Simulation scenario diagram"

Table 2

Parameter settings of simulation"

变量取值
交叉口间距l/m-
路段行驶车速/(m·s-1)13.9
公共周期时长/s80
上游协调相位绿灯时长/s46
上游释放协调流率qt/(veh·h-1)-
上游释放转入流率ql,r/(veh·h-1)-
下游协调相位绿灯时长/s52
下游协调相位初始排队车辆数m/veh-

Table 3

Range of non-fixed parameters"

变量取值范围
交叉口间距l/m4006008001000
协调流率qt/(veh·h-1)4006008001000
转入流率ql,r/(veh·h-1)0100200300

Fig.10

Results of simulation case"

Fig.11

Results with different initial queues"

Fig.12

Results with different numbers of arriving vehicles"

Fig.13

Delay graphs with different numbers of arriving vehicles"

Fig.14

Delay graphs with different link lengths"

Fig.15

Delay graphs with different composition of arriving vehicles A"

Fig.16

Delay graphs with different composition of arriving vehicles B"

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