Fractional programming: Applications and algorithms

Fractional programming: Applications and algorithms

The paper deals with decision problems that give rise to the optimization of ratios subject to constraints. These so called fractional programs have been treated in a considerable number of papers. It is attempted to survey applications as well as solution methods in linear, quadratic and concave-co...

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Veröffentlicht in:European journal of operational research 1981-01, Vol.7 (2), p.111-120
1. Verfasser: Schaible, Siegfried
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Applications
Fractional
Linear programming
Operations
Optimization
Ratios
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container_title European journal of operational research
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creator Schaible, Siegfried
description The paper deals with decision problems that give rise to the optimization of ratios subject to constraints. These so called fractional programs have been treated in a considerable number of papers. It is attempted to survey applications as well as solution methods in linear, quadratic and concave-convex fractional programming. In the first part we give a detailed outline on the major areas of applications of fractional programming. Following a brief review on some basic theoretical results like duality relations, in the second part we then discuss different algorithmic approaches. A primal, a dual and a parametric solution method is considered here. We try to determine for each method the kind of fractional programs that are solved by it suitably.
doi_str_mv 10.1016/0377-2217(81)90272-1
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identifier ISSN: 0377-2217
ispartof European journal of operational research, 1981-01, Vol.7 (2), p.111-120
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1872-6860
language eng
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subjects Algorithms
Applications
Fractional
Linear programming
Operations
Optimization
Ratios
title Fractional programming: Applications and algorithms
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