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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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    1. Julian Molina & Manuel Laguna & Rafael Martí & Rafael Caballero, 2007. "SSPMO: A Scatter Tabu Search Procedure for Non-Linear Multiobjective Optimization," INFORMS Journal on Computing, INFORMS, vol. 19(1), pages 91-100, February.
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    4. María Salazar-Aguilar & Roger Ríos-Mercado & Mauricio Cabrera-Ríos, 2011. "New Models for Commercial Territory Design," Networks and Spatial Economics, Springer, vol. 11(3), pages 487-507, September.
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    7. Bowerman, Robert & Hall, Brent & Calamai, Paul, 1995. "A multi-objective optimization approach to urban school bus routing: Formulation and solution method," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(2), pages 107-123, March.
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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.
    4. Michael Schneider & Andreas Stenger & Fabian Schwahn & Daniele Vigo, 2015. "Territory-Based Vehicle Routing in the Presence of Time-Window Constraints," Transportation Science, INFORMS, vol. 49(4), pages 732-751, November.
    5. Meiyan Lin & Kwai Sang Chin & Lijun Ma & Kwok Leung Tsui, 2020. "A comprehensive multi-objective mixed integer nonlinear programming model for an integrated elderly care service districting problem," Annals of Operations Research, Springer, vol. 291(1), pages 499-529, August.
    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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