Duality for max-separable problems

Martin Gavalec () and Karel Zimmermann

Central European Journal of Operations Research, 2012, vol. 20, issue 3, 409-419

Abstract: In this paper we propose a general duality theory for a class of so called ‘max-separable’ optimization problems. In such problems functions h:R k → R of the form h(x 1 , . . . , x k ) = max j h j (x j ), occur both as objective functions and as constraint functions (h j are assumed to be strictly increasing functions of one variable). As a result we obtain pairs of max-separable optimization problems, which possess both weak and strong duality property without a duality gap. Copyright Springer-Verlag 2012

Keywords: Max-separable functions; Optimization problems; Duality theorems; 90C26; 90C46; 49N15 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10100-011-0203-x

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