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Route feasibility testing and forward time slack for the Synchronized Pickup and Delivery Problem

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  • Timo Gschwind

    (Johannes Gutenberg University Mainz)

Abstract

The Synchronized Pickup and Delivery Problem (SPDP) consists of finding a set of minimum-cost routes servicing user-specified transportation requests from pickup to delivery locations subject to pairing and precedence, capacity, time-window, and minimum and maximum time-lag constraints. The temporal constraints of the SPDP impose a complex scheduling problem for the service times at the customer locations which makes the efficient feasibility checking of routes intricate. We present different route feasibility tests for the SPDP and compare their practical runtime on a huge number of randomly generated routes. Furthermore, we generalize to the SPDP the concept of forward time slack, which has proven a versatile tool for feasibility testing of customer or request insertions into a given (feasible) route for many VRP variants.

Suggested Citation

  • Timo Gschwind, 2019. "Route feasibility testing and forward time slack for the Synchronized Pickup and Delivery Problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 491-512, June.
    • Handle: RePEc:spr:orspec:v:41:y:2019:i:2:d:10.1007_s00291-018-0544-0
    DOI: 10.1007/s00291-018-0544-0
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    References listed on IDEAS

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    1. Timo Gschwind & Stefan Irnich, 2015. "Effective Handling of Dynamic Time Windows and Its Application to Solving the Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 49(2), pages 335-354, May.
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    Cited by:

    1. Jan Christiaens & Greet Vanden Berghe, 2020. "Slack Induction by String Removals for Vehicle Routing Problems," Transportation Science, INFORMS, vol. 54(2), pages 417-433, March.

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