火车控制问题的最优运行方案的推广

Generalization of Optimal Strategies for Train Control Problems

火车沿水平轨道从一站运行到下一站，要求在给定的时间内完成该行程并使能耗最小。在给定火车操纵杆序时可证明：仅当火车运行速达到转换速度时调整操纵杆，其运行方案才使能耗极小，相应的运行方案称为优化型运行方案。数值计算例子证明了该方案是可行的。

A train travels from a station to the next along a level track, it is necessary to finish the journey within a given time and to minimise the energy consumption. For a given sequence of control settings we prove that the strategy is optimal only when the train reaches its critical speeds. We call this strategy a strategy of optimal type. Numerical examples show that the strategy is feasible.