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A Class of Train-Scheduling Problems

Author

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  • Arjang A. Assad

    (University of Maryland, College Park, Maryland)

Abstract

We relate the question of determining stop-schedules for trains that deliver traffic on a line of stations to the maximization of submodular set functions. We prove that a greedy algorithm is optimal under certain assumptions and report computational experience on the performance of the greedy heuristic as compared to the exact algorithm when the optimality of the greedy heuristic cannot be guaranteed.

Suggested Citation

  • Arjang A. Assad, 1982. "A Class of Train-Scheduling Problems," Transportation Science, INFORMS, vol. 16(3), pages 281-310, August.
    • Handle: RePEc:inm:ortrsc:v:16:y:1982:i:3:p:281-310
    DOI: 10.1287/trsc.16.3.281
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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.
    3. Michael F. Gorman, 1998. "Santa Fe Railway Uses an Operating-Plan Model to Improve Its Service Design," Interfaces, INFORMS, vol. 28(4), pages 1-12, August.
    4. Chew, Joanne S.C. & Zhang, Lele & Gan, Heng S., 2019. "Optimizing limited-stop services with vehicle assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 129(C), pages 228-246.
    5. Hamid, Faiz & Agarwal, Yogesh K., 2024. "Train stop scheduling problem: An exact approach using valid inequalities and polar duality," European Journal of Operational Research, Elsevier, vol. 313(1), pages 207-224.

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