Trajectory Optimization for Freight Train with Section Time Constraints Using Mixed Integer Quadratic Programming

There are section time constraints (STC) between adjacent stations, which has limitations for the train control. In this paper, train trajectory optimization problem with STC is solved by mixed integer quadratic programming (MIQP). Nonlinear time constraints are linear approximated with logic variables and auxiliary real variables. Mixed integer quadratic programming model is constructed to solve the problem. Real case study with real data is applied to simulation to verify the effectiveness of the optimization method. Simulation results indicates that the proposed method can achieve 21.2% energy saving than the practical driver control.