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An acceleration of Erlenkotter-Körkel’s algorithms for the uncapacitated facility location problem

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  • Jaroslav Janáček
  • Ľuboš Buzna

Abstract

This contribution is focused on an acceleration of branch and bound algorithms for the uncapacitated facility location problem. Our approach is based on the well-known Erlenkotters’ procedures and Körkels’ multi-ascent and multi-adjustment algorithms, which have proved to be the efficient tools for solving the large-sized instances of the uncapacitated facility location problem. These two original approaches were examined and a thorough analysis of their performance revealed how each particular procedure contributes to the computational time of the whole algorithms. These analyses helped us to focus our effort on the most frequent procedures. The unique contribution of this paper is a new dual ascent procedure. This procedure leads to considerable acceleration of the lower bound computation process and reduces the resulting computational time. To demonstrate more efficient performance of amended algorithms we present the results of extensive numerical experiments. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Jaroslav Janáček & Ľuboš Buzna, 2008. "An acceleration of Erlenkotter-Körkel’s algorithms for the uncapacitated facility location problem," Annals of Operations Research, Springer, vol. 164(1), pages 97-109, November.
    • Handle: RePEc:spr:annopr:v:164:y:2008:i:1:p:97-109:10.1007/s10479-008-0343-0
    DOI: 10.1007/s10479-008-0343-0
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    References listed on IDEAS

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    1. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
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    3. Resende, Mauricio G.C. & Werneck, Renato F., 2006. "A hybrid multistart heuristic for the uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 174(1), pages 54-68, October.
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    6. Mladenovic, N. & Brimberg, J. & Hansen, P., 2006. "A note on duality gap in the simple plant location problem," European Journal of Operational Research, Elsevier, vol. 174(1), pages 11-22, October.
    7. Goldengorin, Boris & Ghosh, Diptesh & Sierksma, Gerard, 2001. "Branch and peg algorithms for the simple plant location problem," Research Report 01A14, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
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    Cited by:

    1. Dong Liang & Wilbert E. Wilhelm, 2013. "Dual‐ascent and primal heuristics for production‐assembly‐distribution system design," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 1-18, February.
    2. 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.
    3. 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.

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