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Solving Hard Mixed-Integer Programming Problems with Xpress-MP: A MIPLIB 2003 Case Study

Richard Laundy, Michael Perregaard, Gabriel Tavares, Horia Tipi, Alkis Vazacopoulos

INFORMS Journal on Computing · 2009 · Volume 21 · Issue 2

DOI: 10.1287/ijoc.1080.0293

Abstract

Despite the fact that no polynomial-time algorithm is known for solving mixed-integer programming (MIP) problems, there has been remarkable success in recent years in solving a wide range of difficult MIPs. In this paper, we take a look at some of the hardest problems in the MIPLIB 2003 test set and show how Xpress-MP can be used to solve some of the problems that were previously thought to be intractable.

Keywords

mixed-integer programming (MIP), MIPLIB 2003, software for MIP

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