Intersecting a simple mixed integer set with a vertex packing set

Agra, Agostinho and Doostmohammadi, Mahdi and Carvalho de Souza, Cid (2013) Intersecting a simple mixed integer set with a vertex packing set. Electronic Notes in Discrete Mathematics, 41. pp. 327-334.

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Abstract

We consider a mixed integer set that results from the intersection of a simple mixed integer set with a vertex packing set from a conflict graph. This set arises as a relaxation of the feasible set of mixed integer problems such as inventory routing problems. We derive families of strong valid inequalities that consider the structures of the simple mixed integer set and the vertex packing set simultaneously.