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In this paper we continue to investigate global minimization problems. An integral approach is applied to treat a global minimization problem of a discontinuous function. With the help of the theory of measure (Q-measure) and integration, optimality conditions of a robust function over a robust set are derived. Algorithms and their implementations for finding global minima are proposed. Numerical tests and applications show that the algorithms are effective.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 15, 2005
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