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Facility Location Under Uncertainty

In: Location Science

Author

Listed:
  • Isabel Correia

    (Universidade Nova de Lisboa)

  • Francisco Saldanha Gama

    (Universidade de Lisboa Campo Grande)

Abstract

In this chapter, we cover some essential knowledge on facility location under uncertainty. We put a major emphasis on modeling aspects related with discrete facility location problems. Different modeling frameworks are discussed. In particular, we distinguish between robust optimization, stochastic programming and chance-constrained models. We also discuss relevant aspects such as solution techniques, multi-stage stochastic programming models, scenario generation, and extensions of basic problems.

Suggested Citation

  • Isabel Correia & Francisco Saldanha Gama, 2015. "Facility Location Under Uncertainty," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 177-203, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13111-5_8
    DOI: 10.1007/978-3-319-13111-5_8
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    Citations

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    Cited by:

    1. Marc Demange & Virginie Gabrel & Marcel A. Haddad & Cécile Murat, 2020. "A robust p-Center problem under pressure to locate shelters in wildfire context," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 103-139, June.
    2. Correia, Isabel & Melo, Teresa, 2019. "Dynamic facility location problem with modular capacity adjustments under uncertainty," Technical Reports on Logistics of the Saarland Business School 17, Saarland University of Applied Sciences (htw saar), Saarland Business School.
    3. Correia, Isabel & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2018. "A stochastic multi-period capacitated multiple allocation hub location problem: Formulation and inequalities," Omega, Elsevier, vol. 74(C), pages 122-134.
    4. Laureano F. Escudero & María Araceli Garín & Celeste Pizarro & Aitziber Unzueta, 2018. "On efficient matheuristic algorithms for multi-period stochastic facility location-assignment problems," Computational Optimization and Applications, Springer, vol. 70(3), pages 865-888, July.
    5. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François & Nikbakhsh, Ehsan, 2017. "Robust uncapacitated hub location," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 393-410.
    6. Víctor Blanco, 2019. "Ordered p-median problems with neighbourhoods," Computational Optimization and Applications, Springer, vol. 73(2), pages 603-645, June.
    7. 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.
    8. Juan F. Gomez & Anna Martínez-Gavara & Javier Panadero & Angel A. Juan & Rafael Martí, 2024. "A Forward–Backward Simheuristic for the Stochastic Capacitated Dispersion Problem," Mathematics, MDPI, vol. 12(6), pages 1-22, March.
    9. Marc Demange & Marcel A. Haddad & Cécile Murat, 2024. "Approximating the probabilistic p-Center problem under pressure," Journal of Combinatorial Optimization, Springer, vol. 48(1), pages 1-25, August.
    10. Vatsa, Amit Kumar & Jayaswal, Sachin, 2016. "A new formulation and Benders decomposition for the multi-period maximal covering facility location problem with server uncertainty," European Journal of Operational Research, Elsevier, vol. 251(2), pages 404-418.
    11. Marin Bougeret & Jérémy Omer & Michael Poss, 2023. "Optimization Problems in Graphs with Locational Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 35(3), pages 578-592, May.
    12. Maria Albareda-Sambola & Elena Fernández & Francisco Saldanha-da-Gama, 2017. "Heuristic Solutions to the Facility Location Problem with General Bernoulli Demands," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 737-753, November.
    13. 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.
    14. Marín, Alfredo & Martínez-Merino, Luisa I. & Rodríguez-Chía, Antonio M. & Saldanha-da-Gama, Francisco, 2018. "Multi-period stochastic covering location problems: Modeling framework and solution approach," European Journal of Operational Research, Elsevier, vol. 268(2), pages 432-449.
    15. Jesica Armas & Angel A. Juan & Joan M. Marquès & João Pedro Pedroso, 2017. "Solving the deterministic and stochastic uncapacitated facility location problem: from a heuristic to a simheuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1161-1176, October.
    16. Marek Kvet & Jaroslav Janáček, 2018. "Fair emergency system design under uncertainty," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 599-609, September.
    17. Kınay, Ömer Burak & Yetis Kara, Bahar & Saldanha-da-Gama, Francisco & Correia, Isabel, 2018. "Modeling the shelter site location problem using chance constraints: A case study for Istanbul," European Journal of Operational Research, Elsevier, vol. 270(1), pages 132-145.

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