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Sensitivity analysis in linear semi-infinite programming: Perturbing cost and right-hand-side coefficients
Authors:MA Goberna  S Gómez  F Guerra  MI Todorov
Institution:1. Department of Statistics and Operations Research, Alicante University, 03071 Alicante, Spain;2. Facilty of Physics and Mathematics, BUAP, 72500 Puebla, Mexico;3. Department of Physics and Mathematics, UDLA, 72820 San Andrés Cholula, Puebla, Mexico
Abstract:This paper analyzes the effect on the optimal value of a given linear semi-infinite programming problem of the kind of perturbations which more frequently arise in practical applications: those which affect the objective function and the right-hand-side coefficients of the constraints. In particular, we give formulae which express the exact value of a perturbed problem as a linear function of the perturbation.
Keywords:Robustness and sensitivity analysis  Linear semi-infinite programming  Value function
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