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The Locomotive Assignment Problem with Distributed Power at the Canadian National Railway Company

Author

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  • Camilo Ortiz-Astorquiza

    (Department of Mathematics, Pontificia Universidad Javeriana, Bogotá D.C., Colombia;)

  • Jean-François Cordeau

    (HEC Montréal, Montreal, Quebec H3T 2A7, Canada;)

  • Emma Frejinger

    (Department of Computer Science and Operational Research, Université de Montréal, Montreal, Quebec H3T 1J4, Canada)

Abstract

Some of the most important optimization problems faced by railway operators arise from the management of their locomotive fleet. In this paper, we study a general version of the locomotive assignment problem encountered at the tactical level by one of the largest railroads in North America: the Canadian National (CN) Railway Company. We present a modeling framework with two integer linear programming formulations and contribute to the state of the art by allowing decisions on each train’s operating mode (distributed power or not) over the whole (weekly) planning horizon without partitioning it winto smaller time windows. Given the difficulty in solving the problem, one of the formulations is enhanced through various refinements, such as constraint relaxations, preprocessing, and fixed cost approximations. We thus achieve a significant reduction in the required computational time to solve instances of realistic size. We also present two versions of a Benders decomposition–based algorithm to obtain feasible solutions. On average, it allows a reduction of the associated computational time by two hours. Results from an extensive computational study and a case study with data provided by CN confirm the potential benefits of the model and solution approach.

Suggested Citation

  • Camilo Ortiz-Astorquiza & Jean-François Cordeau & Emma Frejinger, 2021. "The Locomotive Assignment Problem with Distributed Power at the Canadian National Railway Company," Transportation Science, INFORMS, vol. 55(2), pages 510-531, March.
    • Handle: RePEc:inm:ortrsc:v:55:y:2021:i:2:p:510-531
    DOI: 10.1287/trsc.2020.1030
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    References listed on IDEAS

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    1. Balachandran Vaidyanathan & Ravindra K. Ahuja & James B. Orlin, 2008. "The Locomotive Routing Problem," Transportation Science, INFORMS, vol. 42(4), pages 492-507, November.
    2. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    3. Lin, Zhiyuan & Kwan, Raymond S.K., 2016. "A branch-and-price approach for solving the train unit scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 97-120.
    4. Warren B. Powell & Belgacem Bouzaiene-Ayari & Coleman Lawrence & Clark Cheng & Sourav Das & Ricardo Fiorillo, 2014. "Locomotive Planning at Norfolk Southern: An Optimizing Simulator Using Approximate Dynamic Programming," Interfaces, INFORMS, vol. 44(6), pages 567-578, December.
    5. Matteo Fischetti & Ivana Ljubić & Markus Sinnl, 2017. "Redesigning Benders Decomposition for Large-Scale Facility Location," Management Science, INFORMS, vol. 63(7), pages 2146-2162, July.
    6. Ravindra K. Ahuja & Jian Liu & James B. Orlin & Dushyant Sharma & Larry A. Shughart, 2005. "Solving Real-Life Locomotive-Scheduling Problems," Transportation Science, INFORMS, vol. 39(4), pages 503-517, November.
    7. Jean-François Cordeau & François Soumis & Jacques Desrosiers, 2000. "A Benders Decomposition Approach for the Locomotive and Car Assignment Problem," Transportation Science, INFORMS, vol. 34(2), pages 133-149, May.
    8. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
    9. 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.
    10. Koorush Ziarati & François Soumis & Jacques Desrosiers & Marius M. Solomon, 1999. "A Branch-First, Cut-Second Approach for Locomotive Assignment," Management Science, INFORMS, vol. 45(8), pages 1156-1168, August.
    11. Ziarati, Koorush & Soumis, Francois & Desrosiers, Jacques & Gelinas, Sylvie & Saintonge, Andre, 1997. "Locomotive assignment with heterogeneous consists at CN North America," European Journal of Operational Research, Elsevier, vol. 97(2), pages 281-292, March.
    12. Belgacem Bouzaiene-Ayari & Clark Cheng & Sourav Das & Ricardo Fiorillo & Warren B. Powell, 2016. "From Single Commodity to Multiattribute Models for Locomotive Optimization: A Comparison of Optimal Integer Programming and Approximate Dynamic Programming," Transportation Science, INFORMS, vol. 50(2), pages 366-389, May.
    13. Valentina Cacchiani & Alberto Caprara & Paolo Toth, 2019. "An Effective Peak Period Heuristic for Railway Rolling Stock Planning," Transportation Science, INFORMS, vol. 53(3), pages 746-762, May.
    14. Jean-François Cordeau & François Soumis & Jacques Desrosiers, 2001. "Simultaneous Assignment of Locomotives and Cars to Passenger Trains," Operations Research, INFORMS, vol. 49(4), pages 531-548, August.
    15. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    16. Vaidyanathan, Balachandran & Ahuja, Ravindra K. & Liu, Jian & Shughart, Larry A., 2008. "Real-life locomotive planning: New formulations and computational results," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 147-168, February.
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    2. Zhou, Housheng & Qi, Jianguo & Yang, Lixing & Shi, Jungang & Pan, Hanchuan & Gao, Yuan, 2022. "Joint optimization of train timetabling and rolling stock circulation planning: A novel flexible train composition mode," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 352-385.

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