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Fixed or variable demand? Does it matter when locating a facility?


  • Redondo, Juana L.
  • Fernández, José
  • Arrondo, Aránzazu G.
  • García, Inmaculada
  • Ortigosa, Pilar M.


In most competitive location models available in the literature, it is assumed that the demand is fixed independently of market conditions. However, demand may vary depending on prices, distances to the facilities, etc., especially when the goods are not essential. Taking variable demand into consideration increases the complexity of the problem and, therefore, the computational effort needed to solve it, but it may make the model more realistic. In this paper, a new planar competitive location and design problem with variable demand is presented. By using it, it is shown numerically for the first time in the literature that the assumption of fixed demand influences the location decision very much, and therefore the selection of the type of demand (fixed or variable) must be made with care when modeling location problems. Finally, two methods are presented to cope with the new model, an exact interval branch-and-bound method and an evolutionary algorithm called UEGO (Universal Evolutionary Global Optimizer).

Suggested Citation

  • Redondo, Juana L. & Fernández, José & Arrondo, Aránzazu G. & García, Inmaculada & Ortigosa, Pilar M., 2012. "Fixed or variable demand? Does it matter when locating a facility?," Omega, Elsevier, vol. 40(1), pages 9-20, January.
  • Handle: RePEc:eee:jomega:v:40:y:2012:i:1:p:9-20

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    References listed on IDEAS

    1. Vallada, Eva & Ruiz, Rubén, 2010. "Genetic algorithms with path relinking for the minimum tardiness permutation flowshop problem," Omega, Elsevier, vol. 38(1-2), pages 57-67, February.
    2. J. Redondo & J. Fernández & I. García & P. Ortigosa, 2009. "A robust and efficient algorithm for planar competitive location problems," Annals of Operations Research, Springer, vol. 167(1), pages 87-105, March.
    3. Overholts II, Dale L. & Bell, John E. & Arostegui, Marvin A., 2009. "A location analysis approach for military maintenance scheduling with geographically dispersed service areas," Omega, Elsevier, vol. 37(4), pages 838-852, August.
    4. Plastria, Frank, 2001. "Static competitive facility location: An overview of optimisation approaches," European Journal of Operational Research, Elsevier, vol. 129(3), pages 461-470, March.
    5. Fernandez, Jose & Pelegri'n, Blas & Plastria, Frank & Toth, Boglarka, 2007. "Solving a Huff-like competitive location and design model for profit maximization in the plane," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1274-1287, June.
    6. Chung, Ji-Won & Oh, Seog-Moon & Choi, In-Chan, 2009. "A hybrid genetic algorithm for train sequencing in the Korean railway," Omega, Elsevier, vol. 37(3), pages 555-565, June.
    7. Eiselt, H. A. & Laporte, Gilbert, 1997. "Sequential location problems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 217-231, January.
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    Cited by:

    1. Merino, María & Ramirez-Nafarrate, Adrian, 2016. "Estimation of retail sales under competitive location in Mexico," Journal of Business Research, Elsevier, vol. 69(2), pages 445-451.
    2. Pelegrín, Blas & Fernández, Pascual & García Pérez, María Dolores, 2015. "On tie breaking in competitive location under binary customer behavior," Omega, Elsevier, vol. 52(C), pages 156-167.
    3. Haase, Knut & Müller, Sven, 2013. "Management of school locations allowing for free school choice," Omega, Elsevier, vol. 41(5), pages 847-855.
    4. Deane, Jason & Agarwal, Anurag, 2012. "Scheduling online advertisements to maximize revenue under variable display frequency," Omega, Elsevier, vol. 40(5), pages 562-570.


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