Date of Original Version

7-2006

Type

Article

Rights Management

The original publication is available at www.springerlink.com

Abstract or Description

This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces the necessary tools from polyhedral theory and gives a geometric understanding of several classical families of valid inequalities such as lift-and-project cuts, Gomory mixed integer cuts, mixed integer rounding cuts, split cuts and intersection cuts, and it reveals the relationships between these families. The tutorial also discusses computational aspects of generating the cuts and their strength

DOI

10.1007/s10107-006-0086-0

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Published In

Mathematical Programming4, 112, 1, 3-44.