华南理工大学学报(自然科学版) ›› 2014, Vol. 42 ›› Issue (5): 67-74.doi: 10.3969/j.issn.1000-565X.2014.05.011

• 交通与运输工程 • 上一篇    下一篇

基于排队最远点约束的最大周期时长优化方法

王殿海 付凤杰 蔡正义 马东方   

  1. 浙江大学 建筑工程学院,浙江 杭州 310058
  • 收稿日期:2013-10-15 修回日期:2014-01-14 出版日期:2014-05-25 发布日期:2014-04-01
  • 通信作者: 马东方(1983-),男,博士后,主要从事交通流理论及交通控制研究. E-mail:mdf2004@163.com
  • 作者简介:王殿海(1962-),男,教授,博士生导师,主要从事交通流理论及交通控制研究.E-mail:wangdianhai@sohu.com
  • 基金资助:

    国家自然科学基金资助项目(51338008, 61304191, 51278454)

Optimization Method of Maximum Cycle Length Based on Back of Queue

Wang Dian- hai Fu Feng- jie Cai Zheng- yi Ma Dong- fang   

  1. College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,Zhejiang,China
  • Received:2013-10-15 Revised:2014-01-14 Online:2014-05-25 Published:2014-04-01
  • Contact: 马东方(1983-),男,博士后,主要从事交通流理论及交通控制研究. E-mail:mdf2004@163.com
  • About author:王殿海(1962-),男,教授,博士生导师,主要从事交通流理论及交通控制研究.E-mail:wangdianhai@sohu.com
  • Supported by:

    国家自然科学基金资助项目(51338008, 61304191, 51278454)

摘要: 为充分考虑排队最远点对上游节点的影响,尽量避免短连线路段发生排队溢流现象,利用交通波理论分析了进口道排队长度的演化规律,推导了饱和状态持续时段内排队最远点相对停车线位置距离的计算方法,并以交叉口关键相位关键车道排队最远点最近为优化目标,建立了一种最大周期时长的优化模型.然后,设计了 8 种不同交通需求的测试环境,运用文中方法和现有方法分别计算了最大周期的最优值,根据等饱和度原则确定了两种方法下的信号配时方案,并利用 VISSIM 仿真获取了不同测试环境下两种方法的运行效率指标.结果表明:8 种测试环境中,相对于现有方法,文中方法下关键相位关键车道的平均排队长度、排队最远点相对停车线位置的距离和车均停车次数分别降低了10.67%、11.36%和 11.01%,上下游交叉口总的车均延误和停车次数分别降低了 3.86%和 3.81%, 通过车辆数和平均车速分别提高了 1.19%和 3.58%.

关键词: 交通拥堵, 交通波, 最大周期时长, 排队最远点, 最大排队长度, VISSIM 仿真

Abstract:

In order to fully consider the impact of Back of Queue (BoQ) on upstream node and avoid the queuespillover in short- linked sections,the evolution principle of queuing length in entrance lane is firstly analyzed byusing the traffic wave theory,and a method to calculate the distance from BoQ to stop line in saturation period isdeduced.Secondly,by taking the shortest distance of BoQ in critical line of critical phase as the optimizationobjective,a model to optimize the maximum cycle length is established.Then,8 types of testing environmentsmeeting different traffic requirements are designed,in which the proposed and existing optimization methods arecomparatively investigated by calculating the maximum cycle length and by determining the signal timing schemeson the basis of equi- saturation principle.Finally,the efficiencies of the two methods are evaluated in differenttesting environments via VISSIM simulation.The results show that the proposed method is more effective than theexisting one because the former helps reduce the average queuing length,the average distance from BoQ to stop lineand the average stops in critical line of critical phase,with the decrements respectively being 10.67%,11.36%and 11.01%; what's more,the proposed method also results in an average time delay decrement and an averagestop decrement of the whole test network of 3.86% and 3.81%,respectively,as well as an average vehicle numberincrement and an average vehicle speed increment of 1.19% and 3.58%,respectively.

Key words: traffic congestion, traffic wave, maximum cycle length, back of queue, maximum queuing length, VISSIM simulation

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