On Duality for a Class of Quasiconcave Multiplicative Programs

C.H. Scott and T.R. Jefferson
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C.H. Scott: University of California
T.R. Jefferson: Sultan Qaboos University

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 3, No 8, 575-583

Abstract: Abstract Multiplicative programs are a difficult class of nonconvex programs that have received increasing attention because of their many applications. However, given their nonconvex nature, few theoretical results are available. In this paper, we study a particular case of these programs which involves the maximization of a quasiconcave function over a linear constraint set. Using results from conjugate function theory and generalized geometric programming, we derive a complete duality theory. The results are further specialized to linear multiplicative programming.

Keywords: Conjugate functions; convex analysis; duality; quasiconcave functions; multiplicative functions (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1023949722269

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