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Single facility location and relocation problem with time dependent weights and discrete planning horizon

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  • Reza Farahani
  • Zvi Drezner
  • Nasrin Asgari

Abstract

In this paper a single facility location problem with multiple relocation opportunities is investigated. The weight associated with each demand point is a known function of time. We consider either rectilinear, or squared Euclidean, or Euclidean distances. Relocations can take place at pre-determined times. The objective function is to minimize the total location and relocation costs. An algorithm which finds the optimal locations, relocation times and the total cost, for all three types of distance measurements and various weight functions, is developed. Locations are found using constant weights, and relocations times are the solution to a Dynamic Programming or Binary Integer Programming (BIP) model. The time horizon can be finite or infinite. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Reza Farahani & Zvi Drezner & Nasrin Asgari, 2009. "Single facility location and relocation problem with time dependent weights and discrete planning horizon," Annals of Operations Research, Springer, vol. 167(1), pages 353-368, March.
    • Handle: RePEc:spr:annopr:v:167:y:2009:i:1:p:353-368:10.1007/s10479-008-0338-x
    DOI: 10.1007/s10479-008-0338-x
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    Cited by:

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    6. Güden, Hüseyin & Süral, Haldun, 2014. "Locating mobile facilities in railway construction management," Omega, Elsevier, vol. 45(C), pages 71-79.
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    9. S. Nobakhtian & A. Raeisi Dehkordi, 2018. "A fast algorithm for the rectilinear distance location problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(1), pages 81-98, August.
    10. Dunke, Fabian & Heckmann, Iris & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2018. "Time traps in supply chains: Is optimal still good enough?," European Journal of Operational Research, Elsevier, vol. 264(3), pages 813-829.

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