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Cone ratio data envelopment analysis and multiobjective programming. (English) Zbl 0678.90083
Summary: A new ‘cone ratio’ data envelopment analysis (DEA) model that substantially generalizes the Charnes-Cooper-Rhodes (CCR) model and the Charnes-Cooper-Thrall approach characterizing its efficiency classes is developed and studied. It allows for infinitely many decision-making units (DMUs) and arbitrary closed convex cones for the virtual multipliers as well as the cone of positivity of the vectors involved. Generalizations of linear programming and polar cone dualizations are the analytical vehicles employed.

MSC:
90C31 Sensitivity, stability, parametric optimization
90B50 Management decision making, including multiple objectives
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