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Robust analysis and global minimization of a class of discontinuous functions (II)

Robust analysis and global minimization of a class of discontinuous functions (II) 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Robust analysis and global minimization of a class of discontinuous functions (II)

Acta Mathematicae Applicatae Sinica , Volume 6 (4) – Jul 15, 2005

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 1990 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02015339
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 15, 2005

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