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A computational evaluation of a general branch-and-price framework for capacitated network location problems

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  • Alberto Ceselli
  • Federico Liberatore
  • Giovanni Righini

Abstract

The purpose of this paper is to illustrate a general framework for network location problems, based on column generation and branch-and-price. In particular we consider capacitated network location problems with single-source constraints. We consider several different network location models, by combining cardinality constraints, fixed costs, concentrator restrictions and regional constraints. Our general branch-and-price-based approach can be seen as a natural counterpart of the branch-and-cut-based commercial ILP solvers, with the advantage of exploiting the tightness of the lower bound provided by the set partitioning reformulation of network location problems. Branch-and-price and branch-and-cut are compared through an extensive set of experimental tests. Copyright Springer Science+Business Media, LLC 2009

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  • Alberto Ceselli & Federico Liberatore & Giovanni Righini, 2009. "A computational evaluation of a general branch-and-price framework for capacitated network location problems," Annals of Operations Research, Springer, vol. 167(1), pages 209-251, March.
    • Handle: RePEc:spr:annopr:v:167:y:2009:i:1:p:209-251:10.1007/s10479-008-0375-5
    DOI: 10.1007/s10479-008-0375-5
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    Cited by:

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    2. S. Basso & A. Ceselli & A. Tettamanzi, 2020. "Random sampling and machine learning to understand good decompositions," Annals of Operations Research, Springer, vol. 284(2), pages 501-526, January.

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