信号交叉口N控制策略下车辆到达率变化的批量到达随机模型.pdfVIP

中国科技论文在线 BATCH ARRIVAL VEHICLES WITH DIFFERENT ARRIVAL RATES AND N-CONTROL POLICY IN SIGNALIZED INTERSECTION1 Bin Zhuang Dept. of Traffic Engineering, ITS Research Center, Tongji University, Shanghai, People’s Republic of China 200092 Email ：zhuangbin_01@163.com Xiaoguang Yang ；; Yue Liu; Wanjing Ma Dept. of Traffic Engineering, ITS Research Center, Tongji University, Shanghai, People’s Republic of China 200092 Abstract With the great advancement of transportation science and technology, the vehicles’ arrival processes are no longer simple homogenous Poisson process and the typical stochastic models are no longer proper to be used to describe such complex phenomena happen in urban intersections. In this paper, according to the vehicles arrival processes, we consider the case that the vehicles’ arrival rates vary according to the signal phases: green and red ones. All vehicles pass through the intersection according to FIFO principle. Based on the analysis, we derive the distribution of the steady-state vehicle queue length, the distribution of queue length at the departure point, the waiting time of vehicles in the queue during the red period, the probability of j vehicles were waiting in minor stream during red period, the queue length of vehicles at the end of red period in minor stream and the distribution of red period. In the end, a case study is carried out to illustrate the performance of this model. 1. Introduction In common studies, people always describe the vehicles arriving at intersection as one by on