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Lexicographic Multi-objective Geometric Programming Problems

Published 9 Dec 2009 in cs.DS and cs.CG | (0912.1832v1)

Abstract: A Geometric programming (GP) is a type of mathematical problem characterized by objective and constraint functions that have a special form. Many methods have been developed to solve large scale engineering design GP problems. In this paper GP technique has been used to solve multi-objective GP problem as a vector optimization problem. The duality theory for lexicographic geometric programming has been developed to solve the problems with posynomial in objectives and constraints.

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