In this chapter we again use a more general model to formulate and solve the train control problem for a level track with varying speed limits. We find key equations that determine critical speeds for a strategy of optimal type. In the idealised case, there is a unique hold speed for the journey. On intervals of track where the speed limit is below the hold speed, the speed must be held at the limit. If braking is necessary on an interval, the speed at which braking commences is determined in part by the hold speed for the interval.
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