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Annals of Operations Research

, Volume 24, Issue 1, pp 273–286 | Cite as

Robust analysis and global optimization

  • Quan Zheng
Methodology

Abstract

In this paper, the properties of robust sets and robust functions are studied. Also, we study minimization of a robust function over a robust set and extend the optimality conditions of [3] and the algorithm of [4,5] to our case. The algorithm is shown to be effective.

Keywords

Optimality Condition Global Optimization Robust Analysis Robust Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Q. Zheng, A class of discontinuous functions and local optimization problems, Num. Math., J. Chinese Univ. 1(1985)31–43, in Chinese.Google Scholar
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    Q. Zheng, Global optimization of a class of discontinuous functions, J. Appl. Sci. 1(1986)93–94, in Chinese.Google Scholar
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    Q. Zheng, Optimal conditions for global optimization (I) and (II), Acta Math. Appl. Sinica 1(1985)46–61; 62–76.Google Scholar
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    Q. Zheng, B. Jing and S. Zhuang, A method for searching a global extremum, Acta Math. Appl. Sinica 2(1978), in Chinese.Google Scholar
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    Q. Zheng, Theory and methods for global optimization—an integral approach,Proc. Optimization Days (1986).Google Scholar
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    X. Pan, S. Wang, H. Liu, and Q. Zheng, The optimum design of the arrangement of needles on the needling board of a preneedling machine, J. China Textile University 6(1986) 79–84, in Chinese.Google Scholar
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    R.T. Rockafeller,Convex Analysis (Princeton University Press, Princeton, NJ, 1970).Google Scholar
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    E.A. Galperin and Q. Zheng, Integral global optimization in functional spaces with application to optimal control, Preprint.Google Scholar

Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1990

Authors and Affiliations

  • Quan Zheng
    • 1
  1. 1.Department of MathematicsShanghai University of Science and TechnologyShanghaiP.R. China

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