城市轨道交通快慢车开行方案双层规划模型

针对城市轨道交通客流时空分布不均衡特征和乘客长距离出行时效需求，并考虑乘客的换乘行为，提出基于双层规划模型的快慢车开行方案优化方法.上层模型以乘客出行时间和列车周转时间最小为目标，考虑快慢车开行比例、线路通过能力等主要约束，构建多交路条件下的快慢车开行方案优化模型；下层模型通过设计换乘网络刻画乘客换乘行为，构建快慢车方案下的客流分配模型.设计粒子群算法求解所建双层规划模型，以广州地铁14号线为案例，验证本文构建模型的有效性和适用性.

Optimization on Local/Express Train Operation Plan of Urban Rail Transit by Bi-level Programming

A bi-level programming model for local/express trains operation considering the transfer behavior of passengers is proposed, to cater for the spatial and temporal distribution of passengers and meet their requirement of long distance travel. The upper part of the proposed model achieves an optimum operation plan with multiple routing schemes, aiming at the minimum travel time of passengers and turnaround time of trains, confined by line through capacity and the proportion of local trains to express trains. The lower part realizes the passenger assignment for the proposed local/express train operation plan after constructing a topological network describing the transfer behavior of passengers. A particle swarm algorithm (PSO) is devised to obtain the solutions of the proposed model, and the case studies for Metro Line 14 in Guangzhou are carried out to verify the feasibility and availability of the proposed model.