Abstract
A counterexample to an algorithm of Dien (1988) for solving a minimization problem with a quasiconcave objective function and both linear and a reverse-convex constraint shows that this algorithm needn't lead to a solution of the given problem.
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References
Dien, L. V. (1988), Minimizing a quasiconcave function subject to a reverse convex constraint,Appl. Math. Optim. 18, 231–240.
Engel, O. (1992), Zur Behandlung von nichtlinearen Optimierungsproblemen mit Booleschen Variablen. Diplomarbeit, TH Ilmenau.
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Borchardt, M., Engel, O. A counterexample to a global optimization algorithm. J Glob Optim 5, 371–372 (1994). https://doi.org/10.1007/BF01096686
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DOI: https://doi.org/10.1007/BF01096686