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Optimal Driving Strategies for a Fleet of Trains on Level Track with Prescribed Intermediate Signal Times and Safe Separation by Albrecht, Amie; Howlett, Phil; Pudney, Peter is a scholarly article available to read on EtoBox.

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We propose an analytic solution to the problem of finding optimal driving strategies that minimize total tractive energy consumption for a fleet of trains travelling on the same track in the same direction subject to clearance-time equality constraints that ensure safe separation and compress the line-occupancy timespan. We assume the track is divided into sections by a set of trackside signals at fixed locations. For each intermediate signal there is a signal-location segment consisting of the two adjacent sections. Successive trains are safely separated only if the leading train leaves each signal-location segment before the following train enters. The fleet can be safely separated by a complete set of clearance times and associated clearance-time inequality constraints. The problem of finding optimal schedules with safe separation has been solved for two trains but for larger fleets the problem rapidly becomes intractable as the number of trains and signals increases. The main difficulty is in distinguishing between active equality constraints and inactive inequality constraints. The curse of dimensionality means it is not feasible to check every different combination of active

Author

Albrecht, Amie; Howlett, Phil; Pudney, Peter

Published

2021

Language

EN