Mixed Integer Programming: Analyzing 12 Years of Progress

Tobias Achterberg () and Roland Wunderling ()
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Tobias Achterberg: Konrad-Zuse-Zentrum für Informationstechnik Berlin, CPLEX Optimization, IBM
Roland Wunderling: IBM, CPLEX Optimization

A chapter in Facets of Combinatorial Optimization, 2013, pp 449-481 from Springer

Abstract: Abstract Back in 2001, Bixby et al. (The Sharpest Cut: The Impact of Manfred Padberg and His Work, pp. 309–325, 2004) provided an analysis of the performance impact of the main mixed integer programming features and improvements up to CPLEX 8.0 for a workshop in honor of Manfred Padberg’s 60th birthday, which was later published in a Festschrift edited by Martin Grötschel (The Sharpest Cut: The Impact of Manfred Padberg and His Work, 2004). Now, 12 years later, Grötschel’s own 65th birthday celebration seems to be the ideal opportunity to provide an update on the state of affairs. In this paper, we outline an unbiased way to analyze benchmark results and apply this scheme to assess the contribution of the main components in CPLEX 12.5 to the ability to solve MIPs. We highlight some of the more recent features, in particular the deterministic parallel optimizer.

Keywords: Problem Instance; Performance Variability; Improvement Heuristic; Symmetry Detection; Dynamic Search (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-38189-8_18

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