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The semi-continuous quadratic mixture design problem: Description and branch-and-bound approach

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  • Hendrix, Eligius M.T.
  • Casado, Leocadio G.
  • Garcí­a, Inmaculada
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    Abstract

    The semi-continuous quadratic mixture design problem (SCQMDP) is described as a problem with linear, quadratic and semi-continuity constraints. Moreover, a linear cost objective and an integer valued objective are introduced. The goal is to deal with the SCQMD problem from a branch-and-bound perspective generating robust solutions. Therefore, an algorithm is outlined which identifies instances where decision makers tighten requirements such that no [epsilon]-robust solution exists. The algorithm is tested on several cases derived from industry.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4NMC88P-2/1/6b194c0ea17db9bb324b60324700db91
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 191 (2008)
    Issue (Month): 3 (December)
    Pages: 803-815

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    Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:803-815

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    Web page: http://www.elsevier.com/locate/eor

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    1. Hendrix, Eligius M. T. & Mecking, Carmen J. & Hendriks, Theo H. B., 1996. "Finding robust solutions for product design problems," European Journal of Operational Research, Elsevier, vol. 92(1), pages 28-36, July.
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    Cited by:
    1. L. Casado & I. García & B. Tóth & E. Hendrix, 2011. "On determining the cover of a simplex by spheres centered at its vertices," Journal of Global Optimization, Springer, vol. 50(4), pages 645-655, August.
    2. Juan Herrera & Leocadio Casado & Eligius Hendrix & Inmaculada García, 2014. "Pareto optimality and robustness in bi-blending problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 22(1), pages 254-273, April.

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