Benders-type branch-and-cut algorithms for capacitated facility location with single-sourcing

Dieter Weninger and Laurence A. Wolsey

European Journal of Operational Research, 2023, vol. 310, issue 1, 84-99

Abstract: We consider the capacitated facility location problem with (partial) single-sourcing (CFLP-SS). A natural mixed integer formulation for the problem involves 0–1 variables xj indicating whether faclility j is used or not and yij variables indicating the fraction of the demand of client i that is satisfied from facility j. When the x variables are fixed, the remaining problem is a transportation problem with single-sourcing. This structure suggest the use of a Benders’ type decomposition algorithm. Here we present three possible variants. Applied to CFLP-SS they are compared computationally with a commercial solver (CPLEX) on the original formulation, a CPLEX version of Benders and a recent cut-and-solve approach developed specifically for CFLP-SS. Our results show that for CFLP-SS, when the percentage of clients requiring single-sourcing is less equal than 25%, the Benders’ variants achieve speedups of between 1.2 and 3.7.

Keywords: Integer programming; Benders’ algorithm; Branch-and-cut; Mixed integer subproblems; Facilities planning and design (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:310:y:2023:i:1:p:84-99

DOI: 10.1016/j.ejor.2023.02.042

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