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A note on the calculation of optimal strategies for the minimization of fuel consumption in the control of trains

机译:关于在火车控制中将油耗降至最低的最佳策略的计算的注意事项

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摘要

A train travels from one station to the next along a level track. The journey must be completed within a given time and it is desirable to minimize fuel consumption. It is assumed that only certain discrete throttle settings are possible and that each setting determines a constant rate of fuel supply. During each phase of the journey the power developed by the locomotive is determined by the rate of fuel supply. For each given sequence of throttle settings it has been shown that fuel consumption is minimized by finding an optimal duration for each phase. This suboptimal strategy has been called a strategy of optimal type. In this note we will show that a comparison of suboptimal strategies allows us to find an idealized strategy of optimal type that minimizes fuel consumption.
机译:火车沿着水平轨道从一个车站行驶到另一个车站。行程必须在给定的时间内完成,并且希望将油耗降至最低。假定仅某些离散的节气门设置是可能的,并且每个设置都确定恒定的燃油供应率。在旅程的每个阶段,机车产生的动力均取决于燃料的供应速度。对于节气门设置的每个给定序列,已经表明,通过为每个阶段找到最佳持续时间,可以最大程度地减少燃油消耗。这种次优策略被称为最优类型策略。在本说明中,我们将显示对次优策略的比较使我们能够找到最小化燃料消耗的最优类型的理想化策略。

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