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An Exact Algorithm for the Period Routing Problem

Author

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  • Roberto Baldacci

    (Department of Electronics, Computer Science, and Systems (DEIS), University of Bologna, 47521 Cesena, Italy)

  • Enrico Bartolini

    (Department of Computer Science, University of Bologna, 40127 Bologna, Italy)

  • Aristide Mingozzi

    (Department of Mathematics, University of Bologna, 47521 Cesena, Italy)

  • Andrea Valletta

    (NEMSYS, Network Models and System Optimization, 47521 Cesena, Italy)

Abstract

This paper presents an exact algorithm for solving strategic and tactical multiperiod vehicle routing problems that can be modeled as period vehicle routing problems (PVRPs). The PVRP is defined on a time horizon of several days and consists of assigning appropriate combinations of delivery to customers and designing a set of delivery routes for every day of the planning period. The objective is to service all customers assigned to each day minimizing the overall routing cost. This paper describes an integer programming formulation of the PVRP that is used to derive different lower bounds and an exact solution method. Computational results on test instances from the literature and on new sets of test instances show the effectiveness of the proposed method.

Suggested Citation

  • Roberto Baldacci & Enrico Bartolini & Aristide Mingozzi & Andrea Valletta, 2011. "An Exact Algorithm for the Period Routing Problem," Operations Research, INFORMS, vol. 59(1), pages 228-241, February.
    • Handle: RePEc:inm:oropre:v:59:y:2011:i:1:p:228-241
    DOI: 10.1287/opre.1100.0875
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    References listed on IDEAS

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    Cited by:

    1. Thibaut Vidal & Teodor Gabriel Crainic & Michel Gendreau & Nadia Lahrichi & Walter Rei, 2012. "A Hybrid Genetic Algorithm for Multidepot and Periodic Vehicle Routing Problems," Operations Research, INFORMS, vol. 60(3), pages 611-624, June.
    2. Song, Ruidian & Zhao, Lei & Van Woensel, Tom & Fransoo, Jan C., 2019. "Coordinated delivery in urban retail," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 122-148.
    3. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2014. "A unified solution framework for multi-attribute vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 658-673.
    4. Aksen, Deniz & Kaya, Onur & Sibel Salman, F. & Tüncel, Özge, 2014. "An adaptive large neighborhood search algorithm for a selective and periodic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 239(2), pages 413-426.
    5. Vieira, Bruno S. & Ribeiro, Glaydston M. & Bahiense, Laura & Cruz, Roberto & Mendes, André B. & Laporte, Gilbert, 2021. "Exact and heuristic algorithms for the fleet composition and periodic routing problem of offshore supply vessels with berth allocation decisions," European Journal of Operational Research, Elsevier, vol. 295(3), pages 908-923.
    6. Rodríguez-Martín, Inmaculada & Salazar-González, Juan-José & Yaman, Hande, 2019. "The periodic vehicle routing problem with driver consistency," European Journal of Operational Research, Elsevier, vol. 273(2), pages 575-584.
    7. A. Mor & M. G. Speranza, 2022. "Vehicle routing problems over time: a survey," Annals of Operations Research, Springer, vol. 314(1), pages 255-275, July.
    8. Chen, Yujie & Cowling, Peter & Polack, Fiona & Remde, Stephen & Mourdjis, Philip, 2017. "Dynamic optimisation of preventative and corrective maintenance schedules for a large scale urban drainage system," European Journal of Operational Research, Elsevier, vol. 257(2), pages 494-510.
    9. Lahyani, Rahma & Khemakhem, Mahdi & Semet, Frédéric, 2015. "Rich vehicle routing problems: From a taxonomy to a definition," European Journal of Operational Research, Elsevier, vol. 241(1), pages 1-14.
    10. Liu, Ran & Xie, Xiaolan & Garaix, Thierry, 2014. "Hybridization of tabu search with feasible and infeasible local searches for periodic home health care logistics," Omega, Elsevier, vol. 47(C), pages 17-32.
    11. Rodríguez-Martín, Inmaculada & Yaman, Hande, 2022. "Periodic Vehicle Routing Problem with Driver Consistency and service time optimization," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 468-484.
    12. Ann-Kathrin Rothenbächer, 2017. "Branch-and-Price-and-Cut for the Periodic Vehicle Routing Problem with Flexible Schedule Structures," Working Papers 1714, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    13. Campelo, Pedro & Neves-Moreira, Fábio & Amorim, Pedro & Almada-Lobo, Bernardo, 2019. "Consistent vehicle routing problem with service level agreements: A case study in the pharmaceutical distribution sector," European Journal of Operational Research, Elsevier, vol. 273(1), pages 131-145.
    14. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    15. Hemmelmayr, Vera C., 2015. "Sequential and parallel large neighborhood search algorithms for the periodic location routing problem," European Journal of Operational Research, Elsevier, vol. 243(1), pages 52-60.

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