Construction of Test Problems for Concave Minimization Under Linear and Nonlinear Constraints

K. Moshirvaziri
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K. Moshirvaziri: California State University

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 1, No 6, 83-108

Abstract: Abstract This paper presents a method for constructing test problems with known global solutions for concave minimization under linear constraints with an additional convex constraint and for reverse convex programs with an additional convex constraint. The importance of such a construction can be realized from the fact that the well known d.c. programming problem can be formulated in this form. Then, the method is further extended to generate test problems with more than one convex constraint, tight or untight at the global solution.

Keywords: Concave minimization; reverse convex programs; non-convex optimization; global optimization; test problems; linear programming; nonlinear programming; computational experiments (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022636914306

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