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Dual-Ascent Procedures for Multicommodity Location-Allocation Problems with Balancing Requirements

Author

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  • Teodor Gabriel Crainic

    (Département des Sciences Administratives, Université du Québec à Montréal, Montréal, Canada, and Centre de Recherche sur les Transports, Université de Montréal, Montréal, Canada)

  • Louis Delorme

    (V.P. Recherche, I.R.E.Q., Hydro Québec, Varennes, Canada)

Abstract

The multicommodity location-allocation problem with balancing requirements is related to one of the major logistics issues faced by distribution and transportation firms: the management of the fleet of vehicles over a medium to long-term planning horizon. We present a dual-ascent approach for this formulation which may be used either to obtain a good heuristic solution, or to compare sharp bounds in a branch-and-bound scheme. We present and compare two variants of this approach, and analyze their performances both on a large number of randomly generated problems and on a large-scale application to the strategic/tactical planning of the land operations of an international maritime container shipping firm. Our results demonstrate that a dual-ascent approach is highly effective in this context.

Suggested Citation

  • Teodor Gabriel Crainic & Louis Delorme, 1993. "Dual-Ascent Procedures for Multicommodity Location-Allocation Problems with Balancing Requirements," Transportation Science, INFORMS, vol. 27(2), pages 90-101, May.
    • Handle: RePEc:inm:ortrsc:v:27:y:1993:i:2:p:90-101
    DOI: 10.1287/trsc.27.2.90
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    Citations

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    Cited by:

    1. Mercedes Landete & Alfredo Marín, 2009. "New facets for the two-stage uncapacitated facility location polytope," Computational Optimization and Applications, Springer, vol. 44(3), pages 487-519, December.
    2. M-G Yoon & J Current, 2008. "The hub location and network design problem with fixed and variable arc costs: formulation and dual-based solution heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 80-89, January.
    3. Syam, Siddhartha S. & Côté, Murray J., 2010. "A location-allocation model for service providers with application to not-for-profit health care organizations," Omega, Elsevier, vol. 38(3-4), pages 157-166, June.
    4. Li, Jing-An & Leung, Stephen C.H. & Wu, Yue & Liu, Ke, 2007. "Allocation of empty containers between multi-ports," European Journal of Operational Research, Elsevier, vol. 182(1), pages 400-412, October.
    5. Wu, Dexiang & Wu, Desheng Dash, 2020. "A decision support approach for two-stage multi-objective index tracking using improved lagrangian decomposition," Omega, Elsevier, vol. 91(C).
    6. Crainic, Teodor Gabriel & Laporte, Gilbert, 1997. "Planning models for freight transportation," European Journal of Operational Research, Elsevier, vol. 97(3), pages 409-438, March.
    7. Moon, Ilkyeong & Do Ngoc, Anh-Dung & Konings, Rob, 2013. "Foldable and standard containers in empty container repositioning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 107-124.
    8. Hall, Randolph W., 1999. "Stochastic freight flow patterns: implications for fleet optimization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(6), pages 449-465, August.
    9. Yi Zhao & Qingwan Xue & Xi Zhang, 2018. "Stochastic Empty Container Repositioning Problem with CO 2 Emission Considerations for an Intermodal Transportation System," Sustainability, MDPI, vol. 10(11), pages 1-24, November.
    10. Najafi, Mehdi & Zolfagharinia, Hossein, 2021. "Pricing and quality setting strategy in maritime transportation: Considering empty repositioning and demand uncertainty," International Journal of Production Economics, Elsevier, vol. 240(C).
    11. Hinojosa, Y. & Puerto, J. & Fernandez, F. R., 2000. "A multiperiod two-echelon multicommodity capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 271-291, June.
    12. Yin, Jiateng & Pu, Fan & Yang, Lixing & D’Ariano, Andrea & Wang, Zhouhong, 2023. "Integrated optimization of rolling stock allocation and train timetables for urban rail transit networks: A benders decomposition approach," Transportation Research Part B: Methodological, Elsevier, vol. 176(C).

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