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No-Wait Scheduling for Locks

Author

Listed:
  • Ward Passchyn

    (Faculty of Economics and Business, ORSTAT, KU Leuven, 3000 Leuven, Belgium; OM Partners, 2160 Wommelgem, Belgium;)

  • Dirk Briskorn

    (Lehrstuhl für Produktion und Logistik, Bergische Universität Wuppertal, 42119 Wuppertal, Germany;)

  • Frits C. R. Spieksma

    (Faculty of Economics and Business, ORSTAT, KU Leuven, 3000 Leuven, Belgium; Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 Eindhoven, Netherlands)

Abstract

We introduce and investigate the problem of scheduling a single lock with parallel chambers. Special cases of this problem are related to interval scheduling. We focus on the existence of no-wait schedules and characterize their feasibility for a lock consisting of two chambers using new graph-theoretical concepts. We obtain a linear time algorithm for this special case. We also provide an efficient algorithm for the case where all chambers of the lock are identical. Furthermore, we describe a dynamic programming algorithm for the general case with arbitrary chambers. Finally, we indicate how our methods for the no-wait case can be applied to practical settings where waiting time is unavoidable.

Suggested Citation

  • Ward Passchyn & Dirk Briskorn & Frits C. R. Spieksma, 2019. "No-Wait Scheduling for Locks," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 413-428, July.
    • Handle: RePEc:inm:orijoc:v:31:y:2019:i:3:p:413-428
    DOI: 10.1287/ijoc.2018.0848
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    References listed on IDEAS

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    1. Douglas Smith, L. & Nauss, Robert M. & Mattfeld, Dirk Christian & Li, Jian & Ehmke, Jan F. & Reindl, M., 2011. "Scheduling operations at system choke points with sequence-dependent delays and processing times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 669-680, September.
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    Cited by:

    1. Golak, Julian Arthur Pawel & Defryn, Christof & Grigoriev, Alexander, 2022. "Optimizing fuel consumption on inland waterway networks: Local search heuristic for lock scheduling," Omega, Elsevier, vol. 109(C).
    2. Buchem, Moritz & Golak, Julian Arthur Pawel & Grigoriev, Alexander, 2022. "Vessel velocity decisions in inland waterway transportation under uncertainty," European Journal of Operational Research, Elsevier, vol. 296(2), pages 669-678.
    3. Lijuan Yang & Eldon Y. Li & Yu Zhang, 2020. "Pricing and Subsidy Models for Transshipment Sustainability in the Three Gorges Dam Region of China," Sustainability, MDPI, vol. 12(17), pages 1-20, August.

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