轨道交通廊道中基于Logit型随机用户均衡效率损失

Inefficiency Based on Logit Stochastic User Equilibrium in Rail Transit Corridor

随机用户均衡与系统最优之间通常存在效率损失,首次将效率损失问题引入到轨道交通廊道中来,研究了轨道交通廊道中基于Logit型随机用户均衡效率损失问题.考虑了通勤者的拥挤成本、乘车成本、延误成本以及票价,建立了轨道交通廊道中动态出行均衡模型,并改进了出行成本的表达方式,提出了随车厢内人数单调增加的班次段出行成本函数.利用变分不等式从理论上推导出了轨道交通廊道中SUE相对于SO的效率损失上界,给出了效率损失上界值随时间成本变化的定理.通过数值算例说明了方法的有效性.给出轨道交通廊道中效率损失上界值,并分析了效率损失上界与拥挤敏感度、通勤者对轨道班次信息熟悉程度、发车间隔、单位时间成本、单位早到误时成本以及单位晚到误时成本的相关度.

Inefficiency usually exists between stochastic user equilibrium and system optimization.In this paper,the inefficiency problem is introduced into the rail transit corridor for the first time,and the inefficiency problem based on logit stochastic user equilibrium in rail transit corridor is studied.Considering the congestion cost,travel cost,delay cost and ticket price of commuters,the dynamic travel equilibrium model in rail transit corridor is established,and the expression of travel cost is improved,and the travel cost function of the shift segment increases monotonously with the number of passengers in the carriage.The upper bound of inefficiency of SUE relative to SO in rail transit corridor is derived theoretically by using variational inequality,and the theorem that the upper bound value of inefficiency changes with time cost is given.Numerical examples show the effectiveness of the method.This paper gives the upper bound value of inefficiency in rail transit corridor,and analyzes the correlation between the upper bound of inefficiency and congestion sensitivity,commuters’familiarity with rail shift information,departure interval,unit time cost,unit early arrival cost and unit late arrival cost.