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Branch-and-Price for a Multi-attribute Technician Routing and Scheduling Problem

Author

Listed:
  • Ines Mathlouthi

    (Université de Montréal
    Université de Montréal)

  • Michel Gendreau

    (Université de Montréal
    École Polytechnique de Montréal)

  • Jean-Yves Potvin

    (Université de Montréal
    Université de Montréal)

Abstract

In this paper, we present an exact branch-and-price algorithm for a multi-attribute technician routing and scheduling problem. This problem integrates a number of distinctive features from a real-world application, like management of an inventory of different parts and multiple time windows for service. Based on the fact that not all tasks need to be performed, a new ternary branching scheme is introduced within the branch-and-price algorithm. Computational results show that our algorithm can solve instances with up to 45 tasks and greatly improves upon a commercial solver applied to an arc-based mixed integer linear program.

Suggested Citation

  • Ines Mathlouthi & Michel Gendreau & Jean-Yves Potvin, 2021. "Branch-and-Price for a Multi-attribute Technician Routing and Scheduling Problem," SN Operations Research Forum, Springer, vol. 2(1), pages 1-35, March.
  • Handle: RePEc:spr:snopef:v:2:y:2021:i:1:d:10.1007_s43069-020-00044-x
    DOI: 10.1007/s43069-020-00044-x
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    References listed on IDEAS

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    1. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    2. Tang, Hao & Miller-Hooks, Elise & Tomastik, Robert, 2007. "Scheduling technicians for planned maintenance of geographically distributed equipment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 591-609, September.
    3. Said Dabia & Stefan Ropke & Tom van Woensel & Ton De Kok, 2013. "Branch and Price for the Time-Dependent Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 47(3), pages 380-396, August.
    4. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    5. Hideki Hashimoto & Sylvain Boussier & Michel Vasquez & Christophe Wilbaut, 2011. "A GRASP-based approach for technicians and interventions scheduling for telecommunications," Annals of Operations Research, Springer, vol. 183(1), pages 143-161, March.
    6. Don Weigel & Buyang Cao, 1999. "Applying GIS and OR Techniques to Solve Sears Technician-Dispatching and Home Delivery Problems," Interfaces, INFORMS, vol. 29(1), pages 112-130, February.
    7. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    8. Diego Pecin & Claudio Contardo & Guy Desaulniers & Eduardo Uchoa, 2017. "New Enhancements for the Exact Solution of the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 489-502, August.
    9. Fred Blakeley & Burçin Argüello & Buyang Cao & Wolfgang Hall & Joseph Knolmajer, 2003. "Optimizing Periodic Maintenance Operations for Schindler Elevator Corporation," Interfaces, INFORMS, vol. 33(1), pages 67-79, February.
    10. Zamorano, Emilio & Stolletz, Raik, 2017. "Branch-and-price approaches for the Multiperiod Technician Routing and Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 257(1), pages 55-68.
    11. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
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    Cited by:

    1. Neda Tanoumand & Tonguç Ünlüyurt, 2021. "An exact algorithm for the resource constrained home health care vehicle routing problem," Annals of Operations Research, Springer, vol. 304(1), pages 397-425, September.
    2. Vincent F. Yu & Yueh-Sheng Lin & Panca Jodiawan & Shih-Wei Lin & Yu-Chi Lai, 2023. "The Field Technician Scheduling Problem with Experience-Dependent Service Times," Mathematics, MDPI, vol. 11(21), pages 1-17, November.
    3. Nielsen, Clara Chini & Pisinger, David, 2023. "Tactical planning for dynamic technician routing and scheduling problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
    4. Chen, Xi & Li, Kaiwen & Lin, Sidian & Ding, Xiaosong, 2024. "Technician routing and scheduling with employees’ learning through implicit cross-training strategy," International Journal of Production Economics, Elsevier, vol. 271(C).

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