考虑客流量不确定性的客运专线开行方案鲁棒优化模型

Robust Optimal Model of Train Plans for Passenger Dedicated Lines in View of Uncertainty of Passenger Flow

客流量的不确定性常会导致现有的客运专线开行方案难以满足列车运能约束条件而发生"弃流",造成铁路部门运营效益流失。为了提高客运专线的整体运营效益和开行方案的鲁棒性,提出将可调节鲁棒优化理论引入到客运专线开行方案的优化制定中,考虑客流量的不确定性以及开行方案对客流的反馈影响,以区段客流运输量、区段与车站通过能力为约束,最大化铁路部门净收益为目标,构建了鲁棒性与经济性相协调的客运专线开行方案不确定区间可调节鲁棒优化模型。最后通过算例验证了模型的可行性与优越性,并对模型的鲁棒性和鲁棒代价等相关问题进行了深入分析。

The uncertainty of traffic flow often makes the present train plans for dedicated passenger traffic lines cannot meet train capacity constraints, which results in traffic flow loss and operation benefit loss of railway de- partment. To enhance the overall operation benefit of dedicated passenger traffic lines and the robustness of train plans, with the application of adjustable robust optimization theory for optimization of train plans, considering the uncertainty of passenger flow and the response of train plans on passenger flow, setting passenger traffic volume of railway section, railway section and station carrying capacity as constraints and the maximal net income of railway department as objective, this paper establishes the adjustable robust optimization model in uncertain intervals of train plans for dedicated lines, which coordinates robustness and economy. Finally, the model＇s feasi- bility and superiority are verified by a calculation example, and the robustness and the price of robustness are further analyzed.