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• W2899834092 abstract "We consider the integer points in a unimodular cone K ordered by a lexicographic rule defined by a lattice basis. To each integer point x in K we associate a family of inequalities (lex-cuts) that defines the convex hull of the integer points in K that are not lexicographically smaller than x. The family of lex-cuts contains the Chvatal-Gomory cuts, but does not contain and is not contained in the family of split cuts. This provides a finite cutting plane method to solve the integer program min{cx : x in S cap Z^n }, where S subset R^n is a compact set and c in Z^n . We analyze the number of iterations of our algorithm." @default.
• W2899834092 created "2018-11-16" @default.
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• W2899834092 date "2018-11-06" @default.
• W2899834092 modified "2023-09-25" @default.
• W2899834092 title "Scanning integer points with lex-inequalities: A finite cutting plane algorithm for integer programming with linear objective" @default.
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• W2899834092 hasPublicationYear "2018" @default.
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