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Heuristics for the lexicographic max-ordering vehicle routing problem

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  • Sleman Saliba

Abstract

In this paper, we propose fast heuristics for the vehicle routing problem (VRP) with lexicographic max-order objective. A fixed number of vehicles, which are based at a depot, are to serve customers with known demands. The lexicographic max-order objective is introduced by asking to minimize lexicographically the sorted route lengths. Based on a model for this problem, several approaches are studied and new heuristic solution procedures are discussed resulting in the development of a sequential insertion heuristic and a modified savings algorithm in several variants. Comparisons between the algorithms are performed on instances of the VRP library VRPLIB. Finally, based on the results from the computational experiments, conclusions about the applicability and efficiency of the presented algorithms are drawn. Copyright Physica-Verlag 2006

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  • Sleman Saliba, 2006. "Heuristics for the lexicographic max-ordering vehicle routing problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(3), pages 313-336, September.
    • Handle: RePEc:spr:cejnor:v:14:y:2006:i:3:p:313-336
    DOI: 10.1007/s10100-006-0007-6
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    2. Caramia, M. & Guerriero, F., 2009. "A heuristic approach to long-haul freight transportation with multiple objective functions," Omega, Elsevier, vol. 37(3), pages 600-614, June.
    3. Mohammadmehdi Hakimifar & Vera C. Hemmelmayr & Fabien Tricoire, 2022. "A Bi-Objective Field-Visit Planning Problem for Rapid Needs Assessment under Travel-Time Uncertainty," Sustainability, MDPI, vol. 14(5), pages 1-16, March.
    4. Jan Pelikán & Jan Fábry, 2012. "Heuristics for routes generation in pickup and delivery problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(3), pages 463-472, September.
    5. P. Matl & R. F. Hartl & T. Vidal, 2018. "Workload Equity in Vehicle Routing Problems: A Survey and Analysis," Transportation Science, INFORMS, vol. 52(2), pages 239-260, March.
    6. Mohammadmehdi Hakimifar & Vera C. Hemmelmayr & Fabien Tricoire, 2023. "A lexicographic maximin approach to the selective assessment routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 205-249, March.

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