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A hierarchy of relaxations for linear generalized disjunctive programming


  • Sawaya, Nicolas
  • Grossmann, Ignacio


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.

Suggested Citation

  • Sawaya, Nicolas & Grossmann, Ignacio, 2012. "A hierarchy of relaxations for linear generalized disjunctive programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 70-82.
  • Handle: RePEc:eee:ejores:v:216:y:2012:i:1:p:70-82 DOI: 10.1016/j.ejor.2011.07.018

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    References listed on IDEAS

    1. Sherali, Hanif D. & Bish, Ebru K. & Zhu, Xiaomei, 2006. "Airline fleet assignment concepts, models, and algorithms," European Journal of Operational Research, Elsevier, vol. 172(1), pages 1-30, July.
    2. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    3. Listes, O.L. & Dekker, R., 2002. "A scenario aggregation based approach for determining a robust airline fleet composition," Econometric Institute Research Papers EI 2002-17, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Victoria C. P. Chen & Dirk Günther & Ellis L. Johnson, 2003. "Solving for an optimal airline yield management policy via statistical learning," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 52(1), pages 19-30.
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