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A computational comparison of several formulations for the multi-period incremental service facility location problem

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Abstract

The Multi-period Incremental Service Facility Location Problem, which was recently introduced, is a strategic problem for timing the location of facilities and the assignment of customers to facilities in a multi-period environment. Aiming at finding the strongest formulation for this problem, in this work we study three alternative formulations based on the so-called impulse variables and step variables. To this end, an extensive computational comparison is performed. As a conclusion, the hybrid impulse–step formulation provides better computational results than any of the other two formulations.

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References

  • Albareda-Sambola M, Fernández E, Hinojosa Y, Puerto J (2009) The multi-period incremental service facility location problem. Comput Oper Res 36:1356–1375

    Article  Google Scholar 

  • Alonso-Ayuso A, Escudero LF, Ortuño MT (2003) BFC, a Branch-and-Fix Coordination algorithmic framework for solving stochastic 0–1 programs. Eur J Oper Res 151:503–519

    Article  Google Scholar 

  • Andreatta G, Mason FM (1994) A note on a perfect forward procedure for a single facility dynamic location/relocation problem. Oper Res Lett 15:81–83

    Article  Google Scholar 

  • Antunes A, Peeters D (2001) On solving complex multi-period location models using simulated annealing. Eur J Oper Res 130:190–201

    Article  Google Scholar 

  • Ballou R (1968) Dynamic warehouse location analysis. J Mark Res 5:271–276

    Article  Google Scholar 

  • Bastian M, Volkmer M (1992) A perfect forward procedure for a single facility dynamic location/relocation problem. Oper Res Lett 12:11–16

    Article  Google Scholar 

  • Bertsimas D, Stock-Patterson S (1998) The air traffic flow management problem with enroute capacities. Oper Res 46:406–422

    Article  Google Scholar 

  • Chardaire P, Sutter A, Costa M (1996) Solving the dynamic facility location problem. Networks 28:117–124

    Article  Google Scholar 

  • Drezner Z (1995) Dynamic facility location: the progressive p-median problem. Location Sci 3:1–7

    Article  Google Scholar 

  • Drezner Z, Wesowlosky GO (1991) Facility location when demand is time dependent. Nav Res Logist 38:763–777

    Article  Google Scholar 

  • Erlenkotter D (1978) A dual-based procedure for uncapacitated facility location. Oper Res 26:992–1009

    Article  Google Scholar 

  • Erlenkotter D (1981) A comparative study of approaches to dynamic location problems. Eur J Oper Res 6:133–143

    Article  Google Scholar 

  • Fong CO, Srinivasan V (1981) The multiregion dynamic capacity expansion problem. Parts I and II. Oper Res 29:787–816

    Article  Google Scholar 

  • Fong CO, Srinivasan V (1986) The multiregion dynamic capacity expansion problem: an improved heuristic. Manage Sci 32:1140–1152

    Article  Google Scholar 

  • Frantzeskakis M, Watson-Gandy CDT (1989) The use of state space relaxation for the dynamic facility location problem. Ann Oper Res 18:189–212

    Article  Google Scholar 

  • Galvão RD, Santibañez-Gonzalez ER (1990) The p k -median dynamic location problem: formulation and a heuristic solution method. Invest Oper 1:295–308

    Google Scholar 

  • Galvão RD, Santibañez-Gonzalez ER (1992) A Lagrangian heuristic for the p k -median dynamic location problem. Eur J Oper Res 58:250–262

    Article  Google Scholar 

  • Hinojosa Y, Puerto J, Fernández FR (2000) A multiperiod two-echelon multicommodity capacitated plant location problem. Eur J Oper Res 123:45–65

    Article  Google Scholar 

  • Hinojosa Y, Kalcsics J, Nickel S, Puerto J, Velten S (2008) Dynamic supply chain design with inventory. Comput Oper Res 35(2):373–391

    Article  Google Scholar 

  • Jacobsen SK (1977) Heuristic procedures for dynamic plant location. Technical report, The Institute of Mathematical Statistics and Operations Research, The Technical University of Denmark

  • Kelly D, Marucheck AS (1984) Planning horizon results for the dynamic warehouse location problem. J Oper Manag 4:279–294

    Google Scholar 

  • Khumawala BM, Whybark DC (1976) Solving the dynamic warehouse location problem. Int J Prod Res 6:238–251

    Google Scholar 

  • Lee SB, Luss H (1987) Multifacility-type capacity expansion planning: algorithms and complexities. Oper Res 35:249–153

    Article  Google Scholar 

  • Lodish LM (1970) Computational limitations of dynamic programming for warehouse location. J Mark Res 7:262–263

    Article  Google Scholar 

  • Melachrinoudis E, Min H, Wu X (1995) A multiobjective model for the dynamic location of landfills. Location Sci 3:143–166

    Article  Google Scholar 

  • Melo MT, Nickel S, Saldanha da Gama F (2006) Dynamic multi-commodity capacitated facility location: a mathematical modeling framework for strategic supply chain planning. Comput Oper Res 33:181–208

    Article  Google Scholar 

  • Rosenblatt MJ (1986) The dynamics of plant layout. Manag Sci 32:76–86

    Article  Google Scholar 

  • Saldanha da Gama F, Captivo ME (1998) A heuristic approach for the discrete dynamic location problem. Location Sci 6:211–223

    Article  Google Scholar 

  • Scott AJ (1971) Dynamic location–allocation systems: some basic planning strategies. Environ Plan 3:73–82

    Article  Google Scholar 

  • Shulman A (1991) An algorithm for solving dynamic capacitated plant location problems with discrete expansion sizes. Oper Res 39:423–436

    Article  Google Scholar 

  • Sweeney DJ, Tatham RL (1976) An improved long-run model for multiple warehouse location. Manag Sci 22:748–758

    Article  Google Scholar 

  • van Roy TJ, Erlenkotter D (1982) A dual-based procedure for dynamic facility location. Manag Sci 28:1091–1105

    Article  Google Scholar 

  • Warszawski A (1973) Multi-dimensional location problems. Oper Res Q 24:165–179

    Article  Google Scholar 

  • Wesolowsky GO (1973) Dynamic facility location. Manag Sci 19:1241–1248

    Article  Google Scholar 

  • Wesolowsky GO, Truscott WG (1975) The multiperiod facility location–allocation problem with relocation of facilities. Manag Sci 22:57–65

    Article  Google Scholar 

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Correspondence to Celeste Pizarro-Romero.

Additional information

This work has been partially supported by the grants MTM2006-14961-C05, SEC2002-00112, MTM2004-01095, and MTM2007-67433-C02-01 from the Spanish Ministry of Education and Science, and URJC-CM-2007-CET-1622 and URJC-CM-2008-CET-3703, Spain.

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Albareda-Sambola, M., Alonso-Ayuso, A., Escudero, L.F. et al. A computational comparison of several formulations for the multi-period incremental service facility location problem. TOP 18, 62–80 (2010). https://doi.org/10.1007/s11750-009-0106-3

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  • DOI: https://doi.org/10.1007/s11750-009-0106-3

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