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An aggressive reduction scheme for the simple plant location problem

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  • Letchford, Adam N.
  • Miller, Sebastian J.

Abstract

Pisinger et al. introduced the concept of ‘aggressive reduction’ for large-scale combinatorial optimization problems. The idea is to spend much time and effort in reducing the size of the instance, in the hope that the reduced instance will then be small enough to be solved by an exact algorithm.

Suggested Citation

  • Letchford, Adam N. & Miller, Sebastian J., 2014. "An aggressive reduction scheme for the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 674-682.
  • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:674-682
    DOI: 10.1016/j.ejor.2013.10.020
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    1. C. Beltran-Royo & J.-P. Vial & A. Alonso-Ayuso, 2012. "Semi-Lagrangian relaxation applied to the uncapacitated facility location problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 387-409, January.
    2. Egon Balas & Clarence H. Martin, 1980. "Pivot and Complement--A Heuristic for 0-1 Programming," Management Science, INFORMS, vol. 26(1), pages 86-96, January.
    3. M. L. Balinski, 1965. "Integer Programming: Methods, Uses, Computations," Management Science, INFORMS, vol. 12(3), pages 253-313, November.
    4. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    5. 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).
    6. Ghosh, Diptesh, 2003. "Neighborhood search heuristics for the uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 150(1), pages 150-162, October.
    7. labbe, M. & Peeters, D. & Thisse, J.F., 1992. "Location on Networks," Papers 9216, Universite Libre de Bruxelles - C.E.M.E..
    8. E. Feldman & F. A. Lehrer & T. L. Ray, 1966. "Warehouse Location Under Continuous Economies of Scale," Management Science, INFORMS, vol. 12(9), pages 670-684, May.
    9. 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.
    10. Labbe, M & Louveaux, F, 1997. "Annotated Bibliography on Location Problems," Papers 183, Notre-Dame de la Paix, Sciences Economiques et Sociales.
    11. ReVelle, Charles, 1993. "Facility siting and integer-friendly programming," European Journal of Operational Research, Elsevier, vol. 65(2), pages 147-158, March.
    12. M. A. Efroymson & T. L. Ray, 1966. "A Branch-Bound Algorithm for Plant Location," Operations Research, INFORMS, vol. 14(3), pages 361-368, June.
    13. Krarup, Jakob & Pruzan, Peter Mark, 1983. "The simple plant location problem: Survey and synthesis," European Journal of Operational Research, Elsevier, vol. 12(1), pages 36-57, January.
    14. Vedat Verter, 2011. "Uncapacitated and Capacitated Facility Location Problems," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 25-37, Springer.
    15. Beasley, J. E., 1993. "Lagrangean heuristics for location problems," European Journal of Operational Research, Elsevier, vol. 65(3), pages 383-399, March.
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    Cited by:

    1. Galli, Laura & Letchford, Adam N. & Miller, Sebastian J., 2018. "New valid inequalities and facets for the Simple Plant Location Problem," European Journal of Operational Research, Elsevier, vol. 269(3), pages 824-833.
    2. Prodromos Chatzoglou & Dimitrios Chatzoudes & Zografia Petrakopoulou & Elena Polychrou, 2018. "Plant location factors: a field research," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 749-786, November.
    3. Kurt Jörnsten & Andreas Klose, 2016. "An improved Lagrangian relaxation and dual ascent approach to facility location problems," Computational Management Science, Springer, vol. 13(3), pages 317-348, July.
    4. Matteo Fischetti & Ivana Ljubić & Markus Sinnl, 2017. "Redesigning Benders Decomposition for Large-Scale Facility Location," Management Science, INFORMS, vol. 63(7), pages 2146-2162, July.
    5. Monabbati, Ehsan & Kakhki, Hossein Taghizadeh, 2015. "On a class of subadditive duals for the uncapacitated facility location problem," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 118-131.
    6. Chen, Liang & Chen, Sheng-Jie & Chen, Wei-Kun & Dai, Yu-Hong & Quan, Tao & Chen, Juan, 2023. "Efficient presolving methods for solving maximal covering and partial set covering location problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 73-87.
    7. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2015. "Multi-level facility location as the maximization of a submodular set function," European Journal of Operational Research, Elsevier, vol. 247(3), pages 1013-1016.
    8. Francisco Casas & Claudio E. Torres & Ignacio Araya, 2022. "A heuristic search based on diversity for solving combinatorial problems," Journal of Heuristics, Springer, vol. 28(3), pages 287-328, June.
    9. Christian Wankmüller & Christian Truden & Christopher Korzen & Philipp Hungerländer & Ewald Kolesnik & Gerald Reiner, 2020. "Optimal allocation of defibrillator drones in mountainous regions," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(3), pages 785-814, September.

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