The time constrained multi-commodity network flow problem and its application to liner shipping network design

Christian Vad Karsten, David Pisinger, Stefan Røpke, Berit Dangaard Brouer

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    Abstract

    The multi-commodity network flow problem is an important sub-problem in several heuristics and exact methods for designing route networks for container ships. The sub-problem decides how cargoes should be transported through the network provided by shipping routes. This paper studies the multi-commodity network flow problem with transit time constraints which puts limits on the duration of the transit of the commodities through the network. It is shown that for the particular application it does not increase the solution time to include the transit time constraints and that including the transit time is essential to offer customers a competitive product. © 2015 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    JournalTransportation Research. Part E: Logistics and Transportation Review
    Volume76
    Pages (from-to)122–138
    ISSN1366-5545
    DOIs
    Publication statusPublished - 2015

    Keywords

    • Liner shipping network design
    • Time constrained multi-commodity flow problem
    • Column generation
    • Resource constrained shortest path problems

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