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Scatter search for the single source capacitated facility location problem

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  • Iván Contreras
  • Juan Díaz

Abstract

This paper considers the Single Source Capacitated Facility Location Problem (SSCFLP). We propose a Scatter Search approach to provide upper bounds for the optimal solution of the problem. The proposed approach uses GRASP to initialize the Reference Set. Solutions of the Reference Set are combined using a procedure that consists of two phases: (1) the initialization phase and (2) the improvement phase. During the initialization phase each client is assigned to an open facility to obtain a solution that is then improved with the improvement phase. Also, a tabu search algorithm is applied. In order to evaluate the proposed approach we use different sets of test problems. According to the results obtained we observe that the method provides good quality solutions with reasonable computational effort. Copyright Springer Science+Business Media, LLC 2008

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  • Iván Contreras & Juan Díaz, 2008. "Scatter search for the single source capacitated facility location problem," Annals of Operations Research, Springer, vol. 157(1), pages 73-89, January.
    • Handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:73-89:10.1007/s10479-007-0193-1
    DOI: 10.1007/s10479-007-0193-1
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    References listed on IDEAS

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    1. Holmberg, Kaj & Ronnqvist, Mikael & Yuan, Di, 1999. "An exact algorithm for the capacitated facility location problems with single sourcing," European Journal of Operational Research, Elsevier, vol. 113(3), pages 544-559, March.
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    5. Cortinhal, Maria Joao & Captivo, Maria Eugenia, 2003. "Upper and lower bounds for the single source capacitated location problem," European Journal of Operational Research, Elsevier, vol. 151(2), pages 333-351, December.
    6. Ronnqvist, Mikael & Tragantalerngsak, Suda & Holt, John, 1999. "A repeated matching heuristic for the single-source capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 51-68, July.
    7. R. K. Ahuja & J. B. Orlin & S. Pallottino & M. P. Scaparra & M. G. Scutellà, 2004. "A Multi-Exchange Heuristic for the Single-Source Capacitated Facility Location Problem," Management Science, INFORMS, vol. 50(6), pages 749-760, June.
    8. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
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    Cited by:

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    2. Sune Lauth Gadegaard & Andreas Klose & Lars Relund Nielsen, 2018. "An improved cut-and-solve algorithm for the single-source capacitated facility location problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 1-27, March.
    3. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2020. "The facility location problem with capacity transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    4. Yang, Zhen & Chu, Feng & Chen, Haoxun, 2012. "A cut-and-solve based algorithm for the single-source capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 221(3), pages 521-532.
    5. Stefan Gollowitzer & Bernard Gendron & Ivana Ljubić, 2013. "A cutting plane algorithm for the Capacitated Connected Facility Location Problem," Computational Optimization and Applications, Springer, vol. 55(3), pages 647-674, July.
    6. Shilian Han & Jerry Mendel, 2012. "A new method for managing the uncertainties in evaluating multi-person multi-criteria location choices, using a perceptual computer," Annals of Operations Research, Springer, vol. 195(1), pages 277-309, May.
    7. Guastaroba, G. & Speranza, M.G., 2014. "A heuristic for BILP problems: The Single Source Capacitated Facility Location Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 438-450.
    8. Chandra Ade Irawan & Martino Luis & Said Salhi & Arif Imran, 2019. "The incorporation of fixed cost and multilevel capacities into the discrete and continuous single source capacitated facility location problem," Annals of Operations Research, Springer, vol. 275(2), pages 367-392, April.
    9. Weninger, Dieter & Wolsey, Laurence A., 2023. "Benders-type branch-and-cut algorithms for capacitated facility location with single-sourcing," European Journal of Operational Research, Elsevier, vol. 310(1), pages 84-99.
    10. Ioannis Avgerinos & Ioannis Mourtos & Georgios Zois, 2022. "Multi-type facility location in printing and parcel delivery services," Annals of Operations Research, Springer, vol. 309(1), pages 365-393, February.
    11. Li, Jinfeng & Chu, Feng & Prins, Christian & Zhu, Zhanguo, 2014. "Lower and upper bounds for a two-stage capacitated facility location problem with handling costs," European Journal of Operational Research, Elsevier, vol. 236(3), pages 957-967.
    12. Kınay, Ömer Burak & Saldanha-da-Gama, Francisco & Kara, Bahar Y., 2019. "On multi-criteria chance-constrained capacitated single-source discrete facility location problems," Omega, Elsevier, vol. 83(C), pages 107-122.

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