Date of Original Version

5-2002

Type

Conference Proceeding

Abstract or Description

In the seventies, Balas introduced intersection cuts for a Mixed Integer Linear Program (MILP), and showed that these cuts can be obtained by a closed form formula from a basis of the standard linear programming relaxation. In the early nineties, Cook, Kannan and Schrijver introduced the split closure of an MILP, and showed that the split closure is a polyhedron. In this paper, we show that the split closure can be obtained using only intersection cuts. We give two different proofs of this result, one geometric and one algebraic. Furthermore, the result is used to provide a new proof of the fact that the split closure is a polyhedron. Finally, we extend the result to more general two-term disjunctions.

DOI

10.1007/3-540-47867-1_10

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Published In

IPCO 2002 (W.J. Cook and A.S. Schulz eds.), LNCS 2337, 127-144.