基于GI/G/1排队的人行横道宽度优化模型

摘要

To improve the capacity of signal intersection pedestrian crossing and the pedestrians’ safety, considering the influence of the pedestrian crossing width on pedestrian service level,this paper proposes that the typical signalized intersection pedestrian entrance and passengers flux be described as a queuing system at rush hours. The exponential distribution law of pedestrian arrival is obtained by field survey data fitting, and services follow a normal distribution law, and because the pedestrian at signalized intersections walk the line regularity with vacation properties, the queuing system is represented as the GI/G/1 queuing system with batch service. The optimized model with important constraints is built based on the busy and fallow period, providing a scientif-ic calculation basis for the crosswalk width.%为提高信号交叉口人行横道通行能力和行人安全，考虑到人行横道宽度对行人服务水平的影响，在分析其参数的条件下，提出在高峰时段，可将典型信号交叉口人行横道行人入口处和乘客交通量描述成一个排队系统。通过实地调查数据拟合得出行人到达规律服从指数分布、服务规律服从正态分布，且因行人在信号交叉口的走行规律具有休假特性，则该排队系统可用具有批量服务特点的GI/G/1排队模型描述。并基于排队系统的闲期、忙期等重要约束建立该排队模型的优化模型，为人行横道宽度的取值提供了科学的计算依据。