A Parametric Method for Solving the Linear Fractional Programming Problem

Hartmut Wolf
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Hartmut Wolf: Institut fur Unternehmensforschung und Wirtschaftsmathematik, Fernuniversitat, Hagen, Germany

Operations Research, 1985, vol. 33, issue 4, 835-841

Abstract: This paper describes an approach for determining the optimal solution of the linear fractional programming problem. This approach is based mainly on a parametric analysis of a related linear substitution problem. Whereas existing algorithms for linear fractional programs concentrate solely on determining the optimal solution, the approach described in this paper provides the decision maker with additional insights and valuable information on the underlying decision problem. When the usual algorithms are applied, this additional information, which is gained by the parametric analysis of the substitution problem, can be obtained only by further computational effort.

Keywords: 623 parametric method for solving the linear case; 639 fractional programming (search for similar items in EconPapers)
Date: 1985
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