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Branch-and-Price for the Pickup and Delivery Problem with Time Windows and Scheduled Lines

Author

Listed:
  • Veaceslav Ghilas

    (Data Strategy and Analytics, Schenker AG, 45128 Essen, Germany)

  • Jean-François Cordeau

    (HEC Montréal and CIRRELT, Montréal, Québec H3T 2A7, Canada)

  • Emrah Demir

    (Panalpina Centre for Manufacturing and Logistics Research, Cardiff Business School, Cardiff University, Cardiff CF10 3EU, United Kingdom)

  • Tom Van Woensel

    (School of Industrial Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, Netherlands)

Abstract

The Pickup and Delivery Problem with Time Windows and Scheduled Lines (PDPTW-SL) consists of routing and scheduling a set of vehicles, by integrating them with scheduled public transportation lines, to serve a set of freight requests within their time windows. This paper presents an exact solution approach based on a branch-and-price algorithm. A path-based set partitioning formulation is used as the master problem, and a variant of the elementary shortest path problem with resource constraints is solved as the pricing problem. In addition, the proposed algorithm can also be used to solve the PDPTW with transfers (PDPTW-T) as a special case. Results of extensive computational experiments confirm the efficiency of the algorithm: it is able to solve small- and medium-size instances to optimality within reasonable execution time. More specifically, our algorithm solves the PDPTW-SL with up to 50 requests and the PDPTW-T with up to 40 requests on the considered instances.

Suggested Citation

  • Veaceslav Ghilas & Jean-François Cordeau & Emrah Demir & Tom Van Woensel, 2018. "Branch-and-Price for the Pickup and Delivery Problem with Time Windows and Scheduled Lines," Transportation Science, INFORMS, vol. 52(5), pages 1191-1210, October.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:5:p:1191-1210
    DOI: 10.1287/trsc.2017.0798
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    References listed on IDEAS

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    1. Dumas, Yvan & Desrosiers, Jacques & Soumis, Francois, 1991. "The pickup and delivery problem with time windows," European Journal of Operational Research, Elsevier, vol. 54(1), pages 7-22, September.
    2. Demir, Emrah & Huang, Yuan & Scholts, Sebastiaan & Van Woensel, Tom, 2015. "A selected review on the negative externalities of the freight transportation: Modeling and pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 95-114.
    3. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    4. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    5. Cortés, Cristián E. & Matamala, Martín & Contardo, Claudio, 2010. "The pickup and delivery problem with transfers: Formulation and a branch-and-cut solution method," European Journal of Operational Research, Elsevier, vol. 200(3), pages 711-724, February.
    6. Renaud Masson & Anna Trentini & Fabien Lehuédé & Nicolas Malhéné & Olivier Péton & Houda Tlahig, 2017. "Optimization of a city logistics transportation system with mixed passengers and goods," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 81-109, March.
    7. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    8. R. E. Marsten & W. W. Hogan & J. W. Blankenship, 1975. "The B oxstep Method for Large-Scale Optimization," Operations Research, INFORMS, vol. 23(3), pages 389-405, June.
    9. Nanry, William P. & Wesley Barnes, J., 2000. "Solving the pickup and delivery problem with time windows using reactive tabu search," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 107-121, February.
    10. Mikkel Sigurd & David Pisinger & Michael Sig, 2004. "Scheduling Transportation of Live Animals to Avoid the Spread of Diseases," Transportation Science, INFORMS, vol. 38(2), pages 197-209, May.
    11. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    12. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    13. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "A review of recent research on green road freight transportation," European Journal of Operational Research, Elsevier, vol. 237(3), pages 775-793.
    14. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    15. M. W. P. Savelsbergh & M. Sol, 1995. "The General Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 29(1), pages 17-29, February.
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