A hierarchy of relaxations for linear generalized disjunctive programming

Nicolas Sawaya and Ignacio Grossmann

European Journal of Operational Research, 2012, vol. 216, issue 1, 70-82

Abstract: Generalized disjunctive programming (GDP), originally developed by Raman and Grossmann (1994), is an extension of the well-known disjunctive programming paradigm developed by Balas in the mid 70s in his seminal technical report (Balas, 1974). This mathematical representation of discrete-continuous optimization problems, which represents an alternative to the mixed-integer program (MIP), led to the development of customized algorithms that successfully exploited the underlying logical structure of the problem. The underlying theory of these methods, however, borrowed only in a limited way from the theories of disjunctive programming, and the unique insights from Balas’ work have not been fully exploited.

Keywords: Integer programming; Disjunctive programming; Hull relaxation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:216:y:2012:i:1:p:70-82

DOI: 10.1016/j.ejor.2011.07.018

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