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Optimizing facility location and design

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  • Aboolian, Robert
  • Berman, Oded
  • Krass, Dmitry

Abstract

In this paper we develop a generalized framework and a novel methodology to simultaneously optimize locations and design decisions for a set of facilities that are facing competition from pre-existing facilities. The framework encompasses multi-attribute design decisions, an elastic customer demand mechanism that can capture both expansion and cannibalization effects, and a flexible demand allocation mechanism that encompasses both, proportional allocation (“gravity type”) and all-or-nothing models (such as p−median). Many classic location models appear as special cases of our Generalized Facility Location and Design Problem (GFLDP). We present an effective solution methodology, that allows us to approximate exact solutions to GDFLP to pre-selected accuracy levels. Our results show that not combining design and location decisions within a single model can lead to very substantial optimality gaps, thus underscoring the importance of GDFLP approach.

Suggested Citation

  • Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2021. "Optimizing facility location and design," European Journal of Operational Research, Elsevier, vol. 289(1), pages 31-43.
    • Handle: RePEc:eee:ejores:v:289:y:2021:i:1:p:31-43
    DOI: 10.1016/j.ejor.2020.06.044
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    References listed on IDEAS

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    1. Daniel Serra & Rosa Colomé, 2001. "articles: Consumer choice and optimal locations models: Formulations and heuristics," Papers in Regional Science, Springer;Regional Science Association International, vol. 80(4), pages 439-464.
    2. Hakimi, S. Louis, 1983. "On locating new facilities in a competitive environment," European Journal of Operational Research, Elsevier, vol. 12(1), pages 29-35, January.
    3. Bretthauer, Kurt M. & Shetty, Bala, 2002. "The nonlinear knapsack problem - algorithms and applications," European Journal of Operational Research, Elsevier, vol. 138(3), pages 459-472, May.
    4. Eligius M. T. Hendrix, 2016. "On competition in a Stackelberg location-design model with deterministic supplier choice," Annals of Operations Research, Springer, vol. 246(1), pages 19-30, November.
    5. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location model with concave demand," European Journal of Operational Research, Elsevier, vol. 181(2), pages 598-619, September.
    6. Aboolian, Robert & Berman, Oded & Krass, Dmitry, 2007. "Competitive facility location and design problem," European Journal of Operational Research, Elsevier, vol. 182(1), pages 40-62, October.
    7. J. Redondo & J. Fernández & I. García & P. Ortigosa, 2009. "Sensitivity analysis of a continuous multifacility competitive location and design problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 347-365, December.
    8. Oded Berman & Dmitry Krass, 2002. "Locating Multiple Competitive Facilities: Spatial Interaction Models with Variable Expenditures," Annals of Operations Research, Springer, vol. 111(1), pages 197-225, March.
    9. Gabriel R. Bitran & Arnoldo C. Hax, 1981. "Disaggregation and Resource Allocation Using Convex Knapsack Problems with Bounded Variables," Management Science, INFORMS, vol. 27(4), pages 431-441, April.
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