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ROBUST ANALYSIS AND GLOBAL MINIMIZATION OF A CLASS OF DISCONTINUOUS FUNCTIONS (Ⅱ) 被引量:2

ROBUST ANALYSIS AND GLOBAL MINIMIZATION OF A CLASS OF DISCONTINUOUS FUNCTIONS (Ⅱ)
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摘要 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 ofthe theory of measure (Q-measure) and integration, optimality conditions of a robust function over arobust set are derived. Algorithms and their implementations for finding global minima are proposed.Numerical tests and applications show that the algorithms are effective. 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 ofthe theory of measure (Q-measure) and integration, optimality conditions of a robust function over arobust set are derived. Algorithms and their implementations for finding global minima are proposed.Numerical tests and applications show that the algorithms are effective.
作者 郑权
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1990年第4期317-337,共21页 应用数学学报(英文版)
基金 Project supported by National Natural Science Foundation of China
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同被引文献11

  • 1贺真真,崔洪泉,郑权.有限维逼近无限维总极值的积分型方法(英文)[J].运筹学学报,2005,9(1):21-31. 被引量:5
  • 2Quan Zheng.Robust analysis and global optimization[J]. Annals of Operations Research . 1990 (1)
  • 3WU Dog-hua,YU Wu-yang,ZHENG Quan.A sufficient and necessary condition for global optimization. Journal of Applied Mathematics . 2010
  • 4Phu,H. X.,Hoffmann,A.Essential supremum and supremum of summable functions. Numerical Functional Analysis and Optimization . 1996
  • 5Yao, Yirong,Chen, Liu,Zheng, Quan.Optimality condition and algorithm with deviation integral for global optimization. Journal of Mathematical . 2009
  • 6Q. Zheng and L. Zhang.Global minimization of constrained problems with discontinuous penalty functions.International J. Computers and Mathematics With Applications . 1999
  • 7C. S. Hong,,Q. Zheng.Integral global optimization : theory, implementation and applications. . 1988
  • 8Shi, Shuzhong,Zheng, Quan,Zhuang, Deming.Discontinuous robust mappings are approxi- matable. Transactions of the American Mathematical Society . 1995
  • 9Zheng, Q.,Zhuang, D.Integral global optimization of constrained problems in functional spaces with discontinuous penalty functions. Recent Advances in Global Optimization . 1992
  • 10郑权.ROBUST ANALYSIS AND GLOBAL MINIMIZATION OF A CLASS OF DISCONTINUOUS FUNCTIONS (Ⅰ)[J].Acta Mathematicae Applicatae Sinica,1990,6(3):205-223. 被引量:2

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