车均延误最小情况下的相位差优化方法

doi:10.13229/j.cnki.jdxbgxb20200025

摘要/Abstract

摘要：

基于到达-驶离图式，以相位差为自变量建立了协调控制车均延误模型。以车均延误最小为目标，提出了单向和双向协调下的相位差优化方法，通过数值算例说明了该方法的应用过程。基于微观仿真，分析了最优相位差取值的影响因素。结果表明：初始排队对最优相位差取值没有影响；存在滞留排队时，最优相位差在头车到达时刻截停数秒后取到，交叉口间距增大，则头车截停时间增大；协调流率或转入流率增大，则最优相位差增大。

关键词: 交通运输系统工程, 协调控制, 相位差, 车均延误, 到达图式

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

中图分类号:

U491

王殿海,沈辛夷,罗小芹,金盛. 车均延误最小情况下的相位差优化方法[J]. 吉林大学学报(工学版), 2021, 51(2): 511-523.

Dian-hai WANG,Xin-yi SHEN,Xiao-qin LUO,Sheng JIN. Offset optimization with minimum average vehicle delay[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(2): 511-523.

图/表 19

图1

图2

图3

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图6

图7

表1

简化到达图式的参数设置"

参数	协调方向
参数	$i - 1 → i$	$i → i - 1$
初始排队车辆数m/veh	0	0
[p,p+T)时间段/s	[20,60)	[20,60)
[p,p+T)段内到达流率q₁/(veh·h^-1)	1200	1200
非[p,p+T)段内到达流率q₂/(veh·h^-1)	200	200

表1

图8

图9

表2

表3

图10

图11

图12

图13

图14

图15

图16

参考文献 18

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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/s	80
上游协调相位绿灯时长/s	46
上游释放协调流率q_t/(veh·h^-1)	-
上游释放转入流率q_l,r/(veh·h^-1)	-
下游协调相位绿灯时长/s	52
下游协调相位初始排队车辆数m/veh	-

变量	取值范围
交叉口间距l/m	400	600	800	1000
协调流率q_t/(veh·h^-1)	400	600	800	1000
转入流率q_l,r/(veh·h^-1)	0	100	200	300