旅客需求双向转移的列车客票收益联合优化问题

摘要

考虑铁路不同客运产品之间的替代性影响,将旅客双向转移行嵌入单条线路、多区段、两种不同客运产品的客票联合优化问题中.以高速列车一等座和二等座为例,在旅客向上和向下购买概率已知的条件下,以各OD区间两种席位的预订限制票额为决策变量,以整体收益最大为目标,建立了一个带约束的非线性整数规划模型,并利用线性规划与粒子群算法相结合的方法对模型进行求解.算例结果表明,旅客不同的选择行为对最优决策及整体收益具有不同程度的影响,对于任意一种转移行为而言,随着转移概率的增加,期望总收益逐渐增大.%Taking into account the substitution effect of different seats,this paper integrates the two-way transfer of passengers into the passenger-ticket optimization problem of a single line,multi-section and two different passenger transport products.Taking the booking limits of the two classes of seats of each itinerary as the decision variables and the total revenues as the objective,a nonlinear integer programming model with constraints is established for the first-class and second-class seats under a known condition of the probabilities of passengers'' buy-up and buy-down behavior.In addition,a method of combining linear programming with particle swarm optimization is used to solve the model.The results show that the different choice behavior of passengers has different effects on the optimal decision and the overall income.For any kind of transfer behavior,the total income is expected to increase with the increase of the transfer probability.