Abstract:

Working out the multi-routing train plans for operational theories of urban rail transit networks is an important subject. According to characteristics of full- length and short- turn routing, a bi- level programming model for train plan is presented. The upper- level model, in which the passengers’choice preference are fully considered, is aimed to minimize the passengers’waiting time, running kilometers and operation time of trains, and the decision variables are positions of turn- back stations, frequencies and schedule mode; the lower- level model, whose decision variables are train formation plans (full- length and short- turn train) and departure interval, is aimed to maximize the equilibrium of load factor between fulllength and short- turn trains. The numerical example results indicate that the formation plan, i.e.,“the fulllength train takes more carriages, while the short-turn train takes fewer”, can improve the equilibrium of load factor between full- length and short- turn trains; when considering the equilibrium of load factor, the decreases of difference in average load factor are 21.5% in a.m. peak and 17.9% in p.m. peak; through adjusting the departure interval and reducing the number of short-turn train’s carriages can also advance the equilibrium effectively.

Key words: urban traffic, train plan, full-length and short-turn routing, load factor, equilibrium

摘要：

多交路列车开行方案的优化编制是城市轨道交通网络化运营面临的重要课题.根据大小交路列车运行特点，本文构建大小交路列车开行方案双层规划模型.上层模型考虑小交路区段乘客乘车选择偏好对列车客流分担比例的影响，以乘客等待时间、车辆走行公里和列车运行时间最小化为目标，以小交路折返站、发车频率及大小交路的发车比例为决策变量；下层模型以大小交路列车间满载率的均衡程度最大为目标，以列车编组辆数和发车间隔为决策变量.算例结果表明，采用“大交路大编组，小交路小编组”可以提高大小交路列车间满载率的均衡性；考虑满载率均衡性时，早晚高峰大小交路列车间平均满载率差值分别减小21.5%和17.9%；调整列车发车间隔和缩短小交路列车编组2 种方法均可以提高满载率的均衡性.

关键词: 城市交通, 开行方案, 大小交路, 满载率, 均衡性