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Disjunctive Programming

In: 50 Years of Integer Programming 1958-2008

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  • Egon Balas

    (Carnegie Mellon University)

Abstract

In April 1967 I and my family arrived into the US as fresh immigrants from behind the Iron Curtain. After a fruitful semester spent with George Dantzig’s group in Stanford, I started working at CMU. My debut in integer programming and entry ticket into Academia was the additive algorithm for 0-1 programming [B65], an implicit enumeration procedure based on logical tests akin to what today goes under the name of constraint propagation. As it used only additions and comparisons, it was easy to implement and was highly popular for a while. However, I was aware of its limitations and soon after I joined CMU I started investigating cutting plane procedures, trying to use for this purpose the tools of convex analysis: support functions and their level sets, maximal convex extensions, polarity, etc.

Suggested Citation

  • Egon Balas, 2010. "Disjunctive Programming," Springer Books, in: Michael Jünger & Thomas M. Liebling & Denis Naddef & George L. Nemhauser & William R. Pulleyblank & (ed.), 50 Years of Integer Programming 1958-2008, chapter 0, pages 283-340, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-68279-0_10
    DOI: 10.1007/978-3-540-68279-0_10
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