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A scenario-based planning for the pickup and delivery problem with time windows, scheduled lines and stochastic demands

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  • Ghilas, Veaceslav
  • Demir, Emrah
  • Woensel, Tom Van

Abstract

The Pickup and Delivery Problem with Time Windows, Scheduled Lines and Stochastic Demands (PDPTW-SLSD) concerns scheduling a set of vehicles to serve a set of requests, whose expected demands are known in distribution when planning, but are only revealed with certainty upon the vehicles’ arrival. In addition, a part of the transportation plan can be carried out on limited-capacity scheduled public transportation line services. This paper proposes a scenario-based sample average approximation approach for the PDPTW-SLSD. An adaptive large neighborhood search heuristic embedded into sample average approximation method is used to generate good-quality solutions. Computational results on instances with up to 40 requests (i.e., 80 locations) reveal that the integrated transportation networks can lead to operational cost savings of up to 16% compared with classical pickup and delivery systems.

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  • Ghilas, Veaceslav & Demir, Emrah & Woensel, Tom Van, 2016. "A scenario-based planning for the pickup and delivery problem with time windows, scheduled lines and stochastic demands," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 34-51.
  • Handle: RePEc:eee:transb:v:91:y:2016:i:c:p:34-51
    DOI: 10.1016/j.trb.2016.04.015
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