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Complete Solutions to General Box-Constrained Global Optimization Problems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-24
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper presents a global optimization method for solving general nonlinear programming problems subjected to box constraints.
Regardless of convexity or nonconvexity, by introducing a differential flow on the dual feasible space, a set of complete solutions to the original problem is obtained, and criteria for global optimality and existence of solutions are given.
Our theorems improve and generalize recent known results in the canonical duality theory.
Applications to a class of constrained optimal control problems are discussed.
Particularly, an analytical form of the optimal control is expressed.
Some examples are included to illustrate this new approach.
American Psychological Association (APA)
Wu, Dan& Shang, You-Lin. 2011. Complete Solutions to General Box-Constrained Global Optimization Problems. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-474739
Modern Language Association (MLA)
Wu, Dan& Shang, You-Lin. Complete Solutions to General Box-Constrained Global Optimization Problems. Journal of Applied Mathematics No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-474739
American Medical Association (AMA)
Wu, Dan& Shang, You-Lin. Complete Solutions to General Box-Constrained Global Optimization Problems. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-474739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474739