A note on fractional interval programming

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1975 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift für Operations Research, volume 19, pages 29-36 (issn: 0340-9422, eissn: 1432-5217,

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Authors: Wolfgang Bühler;

doi: 10.1007/bf01958598

A note on fractional interval programming

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Abstract

A linear fractional program of the form max (cx+r)/(dx+s) subject toa≤Ax≤b (FIP) is considered, whereA is am ×n matrix with rank(A)=m. By replacing (FIP) by a parametric linear program, in the first part of this paper the existence of an optimal solution of (FIP) is discussed. In the second part an algorithm is presented which is based upon an algorithm ofDinkelbach and takes into account the special structure of the constraints. The results are illustrated by an example.

Related Organizations

RWTH Aachen University
Germany

Keywords

Nonlinear programming, Linear programming

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