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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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