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Fixed-Charge Facility Location Problems

In: Location Science

Author

Listed:
  • Elena Fernández

    (Universitat Politècnica de Catalunya–Barcelona Tech)

  • Mercedes Landete

    (University Miguel Hernández)

Abstract

Fixed-Charge Facility Location Problems are among core problems in Location Science. There is a finite set of users with demand of service and a finite set of potential locations for the facilities that will offer service to users. Two types of decisions must be made: Location decisions determine where to establish the facilities whereas allocation decisions dictate how to satisfy the users demand from the established facilities. Potential applications of various types arise in many different contexts. We provide an overview of the main elements that may intervene in the modeling and the solution process of Fixed-Charge Facility Location Problems, namely, modeling hypotheses and their implications, characteristics of formulations and their relation to other formulations, properties of the domains, and appropriate solution techniques.

Suggested Citation

  • Elena Fernández & Mercedes Landete, 2015. "Fixed-Charge Facility Location Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 47-77, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13111-5_3
    DOI: 10.1007/978-3-319-13111-5_3
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    Citations

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    Cited by:

    1. Raoul Fonkoua Fofou & Zhigang Jiang & Qingshan Gong & Yihua Yang, 2022. "A Decision-Making Model for Remanufacturing Facility Location in Underdeveloped Countries: A Capacitated Facility Location Problem Approach," Sustainability, MDPI, vol. 14(22), pages 1-18, November.
    2. Christensen, Tue Rauff Lind & Klose, Andreas, 2021. "A fast exact method for the capacitated facility location problem with differentiable convex production costs," European Journal of Operational Research, Elsevier, vol. 292(3), pages 855-868.
    3. Alcaraz, Javier & Landete, Mercedes & Monge, Juan F. & Sainz-Pardo, José L., 2020. "Multi-objective evolutionary algorithms for a reliability location problem," European Journal of Operational Research, Elsevier, vol. 283(1), pages 83-93.
    4. Mercedes Landete & Gilbert Laporte, 2019. "Facility location problems with user cooperation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 125-145, April.
    5. Liu, Weiwei & Kong, Nan & Wang, Mingzheng & Zhang, Lingling, 2021. "Sustainable multi-commodity capacitated facility location problem with complementarity demand functions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    6. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2015. "A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 238-255.
    7. Erick Delage & Ahmed Saif, 2022. "The Value of Randomized Solutions in Mixed-Integer Distributionally Robust Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 333-353, January.
    8. Hoseinpour, Pooya & Ahmadi-Javid, Amir, 2016. "A profit-maximization location-capacity model for designing a service system with risk of service interruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 113-134.
    9. Fischetti, Matteo & Ljubić, Ivana & Sinnl, Markus, 2016. "Benders decomposition without separability: A computational study for capacitated facility location problems," European Journal of Operational Research, Elsevier, vol. 253(3), pages 557-569.
    10. Juan F. Gomez & Javier Panadero & Rafael D. Tordecilla & Juliana Castaneda & Angel A. Juan, 2022. "A Multi-Start Biased-Randomized Algorithm for the Capacitated Dispersion Problem," Mathematics, MDPI, vol. 10(14), pages 1-20, July.
    11. Pelegrín, Mercedes, 2023. "New variants of the simple plant location problem and applications," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1094-1108.
    12. Han, Jialin & Zhang, Jiaxiang & Zeng, Bing & Mao, Mingsong, 2021. "Optimizing dynamic facility location-allocation for agricultural machinery maintenance using Benders decomposition," Omega, Elsevier, vol. 105(C).
    13. Avella, P. & Boccia, M. & Mattia, S. & Rossi, F., 2021. "Weak flow cover inequalities for the capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 289(2), pages 485-494.
    14. 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.
    15. Enrique Domínguez & Alfredo Marín, 2020. "Discrete ordered median problem with induced order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 793-813, October.
    16. Aldrighetti, Riccardo & Battini, Daria & Ivanov, Dmitry & Zennaro, Ilenia, 2021. "Costs of resilience and disruptions in supply chain network design models: A review and future research directions," International Journal of Production Economics, Elsevier, vol. 235(C).
    17. José L. Sainz-Pardo & Javier Alcaraz & Mercedes Landete & Juan F. Monge, 2017. "On relaxing the integrality of the allocation variables of the reliability fixed-charge location problem," Journal of Global Optimization, Springer, vol. 67(4), pages 787-804, April.

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