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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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    1. Erlenkotter, Donald, 1981. "A comparative study of approaches to dynamic location problems," European Journal of Operational Research, Elsevier, vol. 6(2), pages 133-143, February.
    2. O. Berman & B. LeBlanc, 1984. "Location-Relocation of Mobile Facilities on a Stochastic Network," Transportation Science, INFORMS, vol. 18(4), pages 315-330, November.
    3. Dennis J. Sweeney & Ronad L. Tatham, 1976. "An Improved Long-Run Model for Multiple Warehouse Location," Management Science, INFORMS, vol. 22(7), pages 748-758, March.
    4. A J Scott, 1971. "Dynamic Location-Allocation Systems: Some Basic Planning Strategies," Environment and Planning A, , vol. 3(1), pages 73-82, March.
    5. Campbell, James F., 1990. "Locating transportation terminals to serve an expanding demand," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 173-192, June.
    6. Tony J. Van Roy & Donald Erlenkotter, 1982. "A Dual-Based Procedure for Dynamic Facility Location," Management Science, INFORMS, vol. 28(10), pages 1091-1105, October.
    7. E S Sheppard, 1974. "A Conceptual Framework for Dynamic Location—Allocation Analysis," Environment and Planning A, , vol. 6(5), pages 547-564, October.
    8. Gunawardane, Gamini, 1982. "Dynamic versions of set covering type public facility location problems," European Journal of Operational Research, Elsevier, vol. 10(2), pages 190-195, June.
    9. VAN ROY, Tony J. & ERLENKOTTER, Donald, 1982. "A dual-based procedure for dynamic facility location," LIDAM Reprints CORE 490, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Ishwar Murthy, 1993. "Solving the multiperiod assignment problem with start‐up costs using dual ascent," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(3), pages 325-344, April.
    11. James G. Morris, 1981. "Convergence of the Weiszfeld Algorithm for Weber Problems Using a Generalized “Distance” Function," Operations Research, INFORMS, vol. 29(1), pages 37-48, February.
    12. Zvi Drezner & G. O. Wesolowsky, 1991. "Facility location when demand is time dependent," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 763-777, October.
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