无控制交叉口车辆延误迭代计算法

冯树民, 孙祥龙

哈尔滨工业大学交通科学与工程学院



摘要:

无控制交叉口车辆延误对于评价交叉口服务水平有重要意义.为研究一种合乎实际的无控制交叉口延误的计算方法,分析了车辆的运行特征,将延误分为等待延误和加减速延误,利用概率理论推导了各进口的平均服务时间和服务时间方差的迭代计算方法,用M/G/1排队系统描述排队现象,提出了交叉口的平均等待延误计算公式,借鉴信号交叉口加减速延误的分析方法,提出无控制交叉口加减速延误的计算方法.对哈尔滨市十字街与宣威街十字型无控制交叉口进行调查,利用实测数据对理论计算结果进行检验,平均相对误差较小,理论值与实测值吻合较好.

关键词:  无控制交叉口  车辆延误  迭代计算法  M/G/1排队系统  等待延误

DOI：10.11918/j.issn.0367-6234.2011.04.013

分类号:U491.23

基金项目:黑龙江省自然科学基金资助项目(E2007-14)



An iterative calculation method of uncontrolled intersection delay

FENG Shu-min, SUN Xiang-long

School of Transportation Science and Engineering,Harbin Institute of Technology, 150090 Harbin,China

Abstract:

Uncontrolled intersection vehicle delay is of great significance for evaluating the intersection service level,so that it is necessary to study a relative practical delay calculation method.This paper analyzes vehicles operating characteristic;divides the vehicle delay into waiting delay and acceleration-deceleration delay;uses probability theory to derive an iterative method which includes the average service time and service time variance of every approach;describes the queue phenomenon of uncontrolled intersection with M/G/1 queuing system;proposes the average waiting delay formula;and puts forward the acceleration-deceleration delay of uncontrolled intersection by using the method of signal intersection for reference.It is showed that the theoretically calculated values are close to observed values of delay that come from an uncontrolled intersection of shi-zi street and xuan-wei street in Harbin.

Key words:  uncontrolled intersection  vehicle delay  iterative calculation method  M/G/1 queuing system  waiting delay