Date of Original Version

7-2008

Type

Article

Abstract or Description

Integer programs defined by two equations with two free integer variables and nonnegative continuous variables have three types of nontrivial facets: split, triangle or quadrilateral inequalities. In this paper, we compare the strength of these three families of inequalities. In particular we study how well each family approximates the integer hull. We show that, in a well defined sense, triangle inequalities provide a good approximation of the integer hull. The same statement holds for quadrilateral inequalities. On the other hand, the approximation produced by split inequalities may be arbitrarily bad.

DOI

10.1007/s10107-009-0281-x

Comments

The original publication is available at www.springerlink.com

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Published In

Mathematical Programming.