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Solving a bi-objective Transportation Location Routing Problem by metaheuristic algorithms

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  • Martínez-Salazar, Iris Abril
  • Molina, Julian
  • Ángel-Bello, Francisco
  • Gómez, Trinidad
  • Caballero, Rafael

Abstract

In this work we consider a Transportation Location Routing Problem (TLRP) that can be seen as an extension of the two stage Location Routing Problem, in which the first stage corresponds to a transportation problem with truck capacity. Two objectives are considered in this research, reduction of distribution cost and balance of workloads for drivers in the routing stage. Here, we present a mathematical formulation for the bi-objective TLRP and propose a new representation for the TLRP based on priorities. This representation lets us manage the problem easily and reduces the computational effort, plus, it is suitable to be used with both local search based and evolutionary approaches. In order to demonstrate its efficiency, it was implemented in two metaheuristic solution algorithms based on the Scatter Tabu Search Procedure for Non-Linear Multiobjective Optimization (SSPMO) and on the Non-dominated Sorting Genetic Algorithm II (NSGA-II) strategies. Computational experiments showed efficient results in solution quality and computing time.

Suggested Citation

  • Martínez-Salazar, Iris Abril & Molina, Julian & Ángel-Bello, Francisco & Gómez, Trinidad & Caballero, Rafael, 2014. "Solving a bi-objective Transportation Location Routing Problem by metaheuristic algorithms," European Journal of Operational Research, Elsevier, vol. 234(1), pages 25-36.
    • Handle: RePEc:eee:ejores:v:234:y:2014:i:1:p:25-36
    DOI: 10.1016/j.ejor.2013.09.008
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    5. Moshref-Javadi, Mohammad & Lee, Seokcheon, 2016. "The Latency Location-Routing Problem," European Journal of Operational Research, Elsevier, vol. 255(2), pages 604-619.
    6. Nadizadeh, Ali & Hosseini Nasab, Hasan, 2014. "Solving the dynamic capacitated location-routing problem with fuzzy demands by hybrid heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 458-470.
    7. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    8. Halvorsen-Weare, Elin E. & Savelsbergh, Martin W.P., 2016. "The bi-objective mixed capacitated general routing problem with different route balance criteria," European Journal of Operational Research, Elsevier, vol. 251(2), pages 451-465.

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