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The Minimum Fleetsize for a Suburban Railway System

Author

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  • Franz J. M. Salzborn

    (University of Adelaide, Adelaide, South Australia)

Abstract

A mathematical method is developed for minimizing the number of railcars that is needed for the peak operations of a suburban railway system by cutting railcars back from stations along the lines in an optimum way. A secondary objective is the minimization of the total driver time. A mathematical proof is given of the fact that the total number of railcars required is equal to the maximum number of railcars simultaneously in operation; and this theorem leads to the formulation of the minimization problem as a set of linear zero-one-programs. A case study demonstrates the practical usefulness of the method by applying it to an existing railway system.

Suggested Citation

  • Franz J. M. Salzborn, 1970. "The Minimum Fleetsize for a Suburban Railway System," Transportation Science, INFORMS, vol. 4(4), pages 383-402, November.
  • Handle: RePEc:inm:ortrsc:v:4:y:1970:i:4:p:383-402
    DOI: 10.1287/trsc.4.4.383
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    Cited by:

    1. Jean-François Cordeau & Paolo Toth & Daniele Vigo, 1998. "A Survey of Optimization Models for Train Routing and Scheduling," Transportation Science, INFORMS, vol. 32(4), pages 380-404, November.
    2. Chang, Yu-Hern & Yeh, Chung-Hsing & Shen, Ching-Cheng, 2000. "A multiobjective model for passenger train services planning: application to Taiwan's high-speed rail line," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 91-106, February.

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