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Optimally solving the generalized serial-lock scheduling problem from a graph-theory-based multi-commodity network perspective

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  • Ji, Bin
  • Zhang, Dezhi
  • Yu, Samson S.
  • Zhang, Binqiao

Abstract

In this study, we propose a general model for the generalized serial-lock scheduling problem (GSLSP), innovatively from a multi-commodity network (MCN) perspective. The MCN-based approach allows the formulation of a mixed integer linear programming (MILP) model, which is capable of finding the optimal solution to the GSLSP. In order to verify the effectiveness of the proposed method, a large number of instances with various lock configurations are tested, which corroborates that the proposed MCN-based GSLSP approach attests optimality for single-lock problems with less computational burden than the conventional exact methods. It can also solve multiple series-connected lock problems to optimality within reasonable computational time. Thereafter, we also investigate the impact of a serial-lock system’s symmetry on the performance of the proposed MCN-based method when used for transferring ships.

Suggested Citation

  • Ji, Bin & Zhang, Dezhi & Yu, Samson S. & Zhang, Binqiao, 2021. "Optimally solving the generalized serial-lock scheduling problem from a graph-theory-based multi-commodity network perspective," European Journal of Operational Research, Elsevier, vol. 288(1), pages 47-62.
    • Handle: RePEc:eee:ejores:v:288:y:2021:i:1:p:47-62
    DOI: 10.1016/j.ejor.2020.05.035
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    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. Ji, Bin & Zhang, Dezhi & Zhang, Zheng & Yu, Samson S. & Van Woensel, Tom, 2022. "The generalized serial-lock scheduling problem on inland waterway: A novel decomposition-based solution framework and efficient heuristic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).

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