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Journal Articles Computational Optimization and Applications Year : 2015

Column generation approaches for the software clustering problem

Abstract

This work presents the application of branch-and-price approaches to the auto- matic version of the Software Clustering Problem. To tackle this problem, we apply the Dantzig-Wolfe decomposition to a formulation from literature. Given this, we present two Column Generation (CG) approaches to solve the linear programming relaxation of the resulting reformulation: the standard CG approach, and a new approach, which we call Staged Column Generation (SCG). Also, we propose a modification to the pricing subproblem that allows to add multiple columns at each iteration of the CG. We test our algorithms in a set of 45 instances from the literature. The proposed approaches were able to improve the literature results solving all these instances to optimality. Furthermore, the SCG approach presented a considerable performance improvement regarding computational time, number of iterations and generated columns when compared with the standard CG as the size of the instances grows.
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Dates and versions

hal-01108161 , version 1 (22-01-2015)

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Hugo Harry Kramer, Eduardo Uchoa, Marcia Fampa, François Vanderbeck, Viviane Kohler. Column generation approaches for the software clustering problem. Computational Optimization and Applications, 2015, ⟨10.1007/s10589-015-9822-9⟩. ⟨hal-01108161⟩
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