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Effective Handling of Dynamic Time Windows and Synchronization with Precedences for Exact Vehicle Routing

Author

Listed:
  • Timo Gschwind

    (Johannes Gutenberg University Mainz)

  • Stefan Irnich

    (Johannes Gutenberg University Mainz)

Abstract

A dynamic time window relates to two operations that have to be executed within a given time meaning that the difference between the points in time when the two operations are performed is restricted. The most prevalent context of dynamic time windows is when precedences are given for the two operations so that it is a priori specified that one operation must take place before the other. A prominent vehicle routing problem with dynamic time windows and precedences is the dial-a-ride problem (DARP), where user-specified transportation requests from origin to destination points have to be serviced. The paper presents a new branch-and-cut-and-price solution approach for the DARP, the prototypical vehicle-routing problem with ordinary and dynamic time windows. For the first time, both ordinary and dynamic time windows are handled in the column-generation subproblem. For its solution, an effective column-generation pricing procedure is derived that allows fast shortest-path computations due to new dominance rules. The new approach is compared with alternative column-generation algorithms that handle dynamic time windows either as constraints of the master program or with less effective labeling procedures. Computational experiments indicate the superiority of the new approach.

Suggested Citation

  • Timo Gschwind & Stefan Irnich, 2012. "Effective Handling of Dynamic Time Windows and Synchronization with Precedences for Exact Vehicle Routing," Working Papers 1211, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    • Handle: RePEc:jgu:wpaper:1211
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    File URL: https://download.uni-mainz.de/RePEc/pdf/Discussion_Paper_1211.pdf
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    References listed on IDEAS

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    Cited by:

    1. Ulrike Ritzinger & Jakob Puchinger & Richard F. Hartl, 2016. "Dynamic programming based metaheuristics for the dial-a-ride problem," Annals of Operations Research, Springer, vol. 236(2), pages 341-358, January.
    2. Ulrike Ritzinger & Jakob Puchinger & Richard Hartl, 2016. "Dynamic programming based metaheuristics for the dial-a-ride problem," Annals of Operations Research, Springer, vol. 236(2), pages 341-358, January.
    3. Arslan, A.M. & Agatz, N.A.H. & Srour, F.J., 2023. "Model Formulations for Pickup and Delivery Problems in Designated Driver Services," ERIM Report Series Research in Management ERS-2023-004-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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