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Sufficient Optimality and Sensitivity Analysis of a Parameterized Min-Max Programming
Joint Authors
Xiao, Yu
Xiong, Huijuan
Song, Chaohong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Sufficient optimality and sensitivity of a parameterized min-max programming with fixed feasible set are analyzed.
Based on Clarke's subdifferential and Chaney's second-order directional derivative, sufficient optimality of the parameterized min-max programming is discussed first.
Moreover, under a convex assumption on the objective function, a subdifferential computation formula of the marginal function is obtained.
The assumptions are satisfied naturally for some application problems.
Moreover, the formulae based on these assumptions are concise and convenient for algorithmic purpose to solve the applications.
American Psychological Association (APA)
Xiong, Huijuan& Xiao, Yu& Song, Chaohong. 2012. Sufficient Optimality and Sensitivity Analysis of a Parameterized Min-Max Programming. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028975
Modern Language Association (MLA)
Xiong, Huijuan…[et al.]. Sufficient Optimality and Sensitivity Analysis of a Parameterized Min-Max Programming. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-1028975
American Medical Association (AMA)
Xiong, Huijuan& Xiao, Yu& Song, Chaohong. Sufficient Optimality and Sensitivity Analysis of a Parameterized Min-Max Programming. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028975