Conditions for boundedness in concave programming under reverse convex and convex constraints

Wiesława Obuchowska ()

Mathematical Methods of Operations Research, 2007, vol. 65, issue 2, 279 pages

Abstract: In this paper, we are concerned with the problem of boundedness in the constrained global maximization of a convex function. In particular, we present necessary and sufficient conditions for boundedness of a feasible region defined by reverse convex constraints and we establish sufficient and necessary conditions for existence of an upper bound for a convex objective function defined over the system of concave inequality constraints. We also address the problem of boundedness in the global maximization problem when a feasible region is convex and unbounded. Copyright Springer-Verlag 2007

Keywords: Concave minimization; Reverse convex constraints; Unboundedness (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00186-006-0110-4

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