2000 | OriginalPaper | Buchkapitel
Bicriteria Linear Fractional Optimization
verfasst von : Christian Malivert, Nicolae Popovici
Erschienen in: Optimization
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In multiple objective programming it is generally more convenient to study the efficient outcome instead of the efficient solution set. In general an approximation of this efficient outcome is obtained by solving a sequence of optimization problems. In this work we consider a special class of bicriteria optimization problems with linear fractional objectives and linear constraints. It is shown that the efficient outcome is the graph of a piecewise linear fractional curve in the plane, which can be easily computed. A finite algorithm is presented which generates this curve by simply considering some particular edges of the constraint polyhedron.