Abstract

A particularly convenient mathematical formulation for the modelling of a wide range of problems associated with operations research is a linearly constrained convex mathematical program. The paper analyses such a formulation using the notions of conjugate function theory. The aims of the analysis are easier computational possibilities and an enhanced understanding of the problem. To this end the duality theory of generalized geometric programming is specifically invoked. Application of this approach is made to three representative application areas: networks, resource allocation and entropy modelling.

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