Branch-and-cut for linear programs with overlapping SOS1 constraints

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چکیده

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Branch-and-cut for linear programs with overlapping SOS1 constraints

SOS1 constraints require that at most one of a given set of variables is nonzero. In this article, we investigate a branch-and-cut algorithm to solve linear programs with SOS1 constraints. We focus on the case in which the SOS1 constraints overlap. The corresponding conflict graph can algorithmically be exploited, for instance, for improved branching rules, preprocessing, primal heuristics, and...

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ژورنال

عنوان ژورنال: Mathematical Programming Computation

سال: 2017

ISSN: 1867-2949,1867-2957

DOI: 10.1007/s12532-017-0122-5