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Using and extending fix-and-relax to solve maritime inventory routing problems

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  • Kristin Uggen
  • Marte Fodstad
  • Vibeke Nørstebø

Abstract

The paper presents a new way of optimising maritime inventory routing problems (IRP) by using a heuristic approach based on fix-and-relax time decomposition extended with two new features. The purpose of the extensions is to reduce computation time during the fix-and-relax process and to improve solution quality after a first solution is found. The feature which improves solution quality is independent of the method used for calculating the first solution. In this study, the algorithm and extensions have been tested on four liquefied natural gas (LNG) cases and the impacts on computational time and objective function value are reported. The results show that using fix-and-relax reduces computing time considerably while the objective function value is only slightly worse compared to a general MILP solver. Furthermore, the results confirm that the extensions work according to the intentions when compared to the original fix-and-relax heuristic. For relatively complex cases, it appears advantageous to use the extensions developed. Copyright Sociedad de Estadística e Investigación Operativa 2013

Suggested Citation

  • Kristin Uggen & Marte Fodstad & Vibeke Nørstebø, 2013. "Using and extending fix-and-relax to solve maritime inventory routing problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 355-377, July.
    • Handle: RePEc:spr:topjnl:v:21:y:2013:i:2:p:355-377
    DOI: 10.1007/s11750-011-0174-z
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    Cited by:

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    3. Wei, Mingyuan & Qi, Mingyao & Wu, Tao & Zhang, Canrong, 2019. "Distance and matching-induced search algorithm for the multi-level lot-sizing problem with substitutable bill of materials," European Journal of Operational Research, Elsevier, vol. 277(2), pages 521-541.
    4. Papageorgiou, Dimitri J. & Nemhauser, George L. & Sokol, Joel & Cheon, Myun-Seok & Keha, Ahmet B., 2014. "MIRPLib – A library of maritime inventory routing problem instances: Survey, core model, and benchmark results," European Journal of Operational Research, Elsevier, vol. 235(2), pages 350-366.
    5. Mingyu Li & Peter Schütz, 2020. "Planning Annual LNG Deliveries with Transshipment," Energies, MDPI, vol. 13(6), pages 1-24, March.
    6. Ghiami, Yousef & Demir, Emrah & Van Woensel, Tom & Christiansen, Marielle & Laporte, Gilbert, 2019. "A deteriorating inventory routing problem for an inland liquefied natural gas distribution network," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 45-67.
    7. Dimitri J. Papageorgiou & Myun-Seok Cheon & George Nemhauser & Joel Sokol, 2015. "Approximate Dynamic Programming for a Class of Long-Horizon Maritime Inventory Routing Problems," Transportation Science, INFORMS, vol. 49(4), pages 870-885, November.
    8. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.

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