关键词: 铁路运输, 随机机会约束规划, 目标规划, 旅客列车, 模型, 隐枚举

Abstract: Passengers’ selection of the train number when they travel by railway is associated with both the trains’ conditions and passengers’ actual demand. Analyzing uncertain factors referring to selecting trains and multiple objects passengers seeking, introducing stochastic decision making optimization theory, a stochastic chance constrained objective programming model of railway passengers selecting trains is developed, which is subject to passengers demand for actual arriving time, traveling cost, probability of buying tickets successfully, and traveling comfort level. Train delay time arriving at the terminal station and remaining tickets amount when buying tickets are two important factors influencing passengers’ train selection, which are also stochastic variables. According to their distribution functions and passengers correlative demand, the stochastic chance constrained objective programming model is transformed into a certain model, and implicit enumeration is applied in a calculation example. The calculating result shows that the model can give passengers reasonable suggestions on train selection.

Key words: railway transportation, stochastic chance constrained programming, objective programming, railway passenger train, model, implicit enumeration