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Multiobjective scatter search for a commercial territory design problem

Author

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  • M. Salazar-Aguilar
  • Roger Ríos-Mercado
  • José González-Velarde
  • Julián Molina

Abstract

In this paper, a multiobjective scatter search procedure for a bi-objective territory design problem is proposed. A territory design problem consists of partitioning a set of basic units into larger groups that are suitable with respect to some specific planning criteria. These groups must be compact, connected, and balanced with respect to the number of customers and sales volume. The bi-objective commercial territory design problem belongs to the class of NP-hard problems. Previous work showed that large instances of the problem addressed in this work are practically intractable even for the single-objective version. Therefore, the use of heuristic methods is the best alternative for obtaining approximate efficient solutions for relatively large instances. The proposed scatter search-based framework contains a diversification generation module based on a greedy randomized adaptive search procedure, an improvement module based on a relinked local search strategy, and a combination module based on a solution to an assignment problem. The proposed metaheuristic is evaluated over a variety of instances taken from literature. This includes a comparison with two of the most successful multiobjective heuristics from literature such as the Scatter Tabu Search Procedure for Multiobjective Optimization (SSPMO) by Molina et al. (INFORMS J. Comput. 19(1):91–100, 2007 ), and the Non-dominated Sorting Genetic Algorithm (NSGA-II) by Deb et al. (Parallel problem solving from nature – PPSN VI, Lecture notes in computer science, vol. 1917, Springer, Berlin, pp. 849–858, 2000 ). Experimental work reveals that the proposed procedure consistently outperforms both heuristics, SSPMO and NSGA-II, on all instances tested. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • M. Salazar-Aguilar & Roger Ríos-Mercado & José González-Velarde & Julián Molina, 2012. "Multiobjective scatter search for a commercial territory design problem," Annals of Operations Research, Springer, vol. 199(1), pages 343-360, October.
    • Handle: RePEc:spr:annopr:v:199:y:2012:i:1:p:343-360:10.1007/s10479-011-1045-6
    DOI: 10.1007/s10479-011-1045-6
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    References listed on IDEAS

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    Cited by:

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    3. Sebastián Moreno & Jordi Pereira & Wilfredo Yushimito, 2020. "A hybrid K-means and integer programming method for commercial territory design: a case study in meat distribution," Annals of Operations Research, Springer, vol. 286(1), pages 87-117, March.
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    6. J. Fabián López-Pérez & Roger Z. Ríos-Mercado, 2013. "Embotelladoras ARCA Uses Operations Research to Improve Territory Design Plans," Interfaces, INFORMS, vol. 43(3), pages 209-220, May-June.
    7. Cortinhal, Maria João & Mourão, Maria Cândida & Nunes, Ana Catarina, 2016. "Local search heuristics for sectoring routing in a household waste collection context," European Journal of Operational Research, Elsevier, vol. 255(1), pages 68-79.

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