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IMA Journal of Management Mathematics 1999 10(2):89-115; doi:10.1093/imaman/10.2.89
© 1999 by Institute of Mathematics and its Applications
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Optimal driving strategies for a train journey with non-zero track gradient and speed limits

J. CHENG, Y. DAVYDOVA, P. HOWLETT and P. PUDNEY {dagger}

Scheduling and Control Group, Centre for Industrial and Applied Mathematics, University of South Australia The Levels. 5095. Australia Email: {p.howlett,p.pudney}{at}unisa.edu.au

In this paper we formulate and solve an important problem in applied optimal control. A train is to be driven along a track with non-zero gradient, where speed limits are imposed. The journey is to be completed within a specified time using as little fuel as possible. We find key equations that determine strategies of optimal type and present a general solution algorithm. Several specific examples will be given to illustrate the solution procedure.


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