Optimal driving strategies for a train journey with non-zero track gradient and speed limits |
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| Authors: | CHENG J; DAVYDOVA Y; HOWLETT P; PUDNEY P |
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| Institution: |
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
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| Abstract: | In this paper we formulate and solve an important problem inapplied optimal control. A train is to be driven along a trackwith non-zero gradient, where speed limits are imposed. Thejourney is to be completed within a specified time using aslittle fuel as possible. We find key equations that determinestrategies of optimal type and present a general solution algorithm.Several specific examples will be given to illustrate the solutionprocedure. |
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