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Minimization of ratios
Authors:S Schaible
Institution:(1) Department of Operations Research, Stanford University, Stanford, California;(2) Industrie-Seminar der Universität Köln, Köln, West Germany
Abstract:Optimization problems are considered where ratios of functionals of several different types (convex/concave, concave/convex, convex/convex, and concave/concave) are to be minimized over a convex set. All these problems are related to the minimization of a quasi-convex functional or a quasi-concave functional.
Keywords:Optimization of ratios  fractional programming  equivalent problems  quasi-convex programs  quasi-concave programs
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