On linear fractional programming problem and its computation using a neural network model

On linear fractional programming problem and its computation using a neural network model

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Article ID: iaor20084708
Country: United Kingdom
Volume: 6
Issue: 4
Start Page Number: 577
End Page Number: 580
Publication Date: Dec 2007
Journal: Journal of Mathematical Modelling and Algorithms
Authors: , ,
Keywords: neural networks, programming: linear
Abstract:

In this paper we consider linear fractional programming problem and look at its linear complementarity formulation. In the literature, uniqueness of solution of a linear fractional programming problem is characterized through strong quasiconvexity. We present another characterization of uniqueness through complementarity approach and show that the solution set of a fractional programming problem is convex. Finally we formulate the complementarity condition as a set of dynamical equations and prove certain results involving the neural network model. A computational experience is also reported.

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