Pareto optimality and robustness in bi-blending problems

Juan Herrera (), Leocadio Casado (), Eligius Hendrix () and Inmaculada García ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 1, 254-273

Abstract: The mixture design problem for two products concerns finding simultaneously two recipes of a blending problem with linear, quadratic and semi-continuity constraints. A solution of the blending problem minimizes a linear cost objective and an integer valued objective that keeps track of the number of raw materials that are used by the two recipes, i.e. this is a bi-objective problem. Additionally, the solution must be robust. We focus on possible solution approaches that provide a guarantee to solve bi-blending problems with a certain accuracy, where two products are using (partly) the same scarce raw materials. The bi-blending problem is described, and a search strategy based on Branch-and-Bound is analysed. Specific tests are developed for the bi-blending aspect of the problem. The whole is illustrated numerically. Copyright Sociedad de Estadística e Investigación Operativa 2014

Keywords: Blending; Branch-and-Bound; Quadratic programming; Robust solutions; 90C26; 90C29; 90C57 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11750-012-0253-9

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