A Bimaximum Entropy Method for Solving Nonlinear Constrained Continuous Minimax Problem

Qiu Hong Huang; De Xin Cao

doi:10.4028/www.scientific.net/AMR.532-533.1011

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 532-533A Bimaximum Entropy Method for Solving Nonlinear...

A Bimaximum Entropy Method for Solving Nonlinear Constrained Continuous Minimax Problem

Abstract:

A numerical method is proposed for solving a sort of constrained continuous minimax problem, in which both the objective function and the constraint functions are continuously differentiable about superior decision variables and are continuous about lower decision variables .Besides,the constraint functions include only superior or lower decision variables．The problem is transformed into unconstrained differentiable problem with the idea of the discrete maximum entropy function and the continuous maximum entropy function and the penalty function method．The basic algorithm is established．The convergence is proofed．Numerical examples are given and show the efficiency and the reliability of the algorithm.

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Periodical:

Advanced Materials Research (Volumes 532-533)

Pages:

1011-1015

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.532-533.1011

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Online since:

June 2012

Authors:

Qiu Hong Huang, De Xin Cao

Keywords:

BFGS Method, Constrained Continuous Minimax Problem, Maximum Entropy Function, Penalty Function

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References

[1] Dem'yanov V F and Malozemov F N．Introduction to minimax．New York：Jorn Wiley & Sons, (1974).

Google Scholar

[2] HUANG Zhenyu, SHEN Zuhe．Entropy method for one sort of nonlinear minimax problem. Chinese Science Bulletin, 1996, 41(21): 1765-1769.

Google Scholar

[3] Shen Zuhe, Huang Zhenyu & Wolfe M. A．An interval maximum Entropy method for a discrete minimax problem．Applied Math. &Comput., 1997，87: 49-68.

Google Scholar

[4] Dexin Cao, Shuaimin Ye, Haijun Wang．An Interval Maximum-Entropy Method for A Class of Constrained Nondifferentiable Optimization Problem．OR TRANSACTIONS, 1999, 3(4)：55-64.

Google Scholar

[5] Cao Dexin, Li Subei, Wu Yanqiang. Interval Method for Global Solutions of Continuous Minimax Problem. Numerical Mathematics A Journal of Chinese Universities. 2002, 24(4): 359-365.

Google Scholar

[6] HUANG Qiu-hong, CAO De-xin, DENG Ka-zhong. Penalty Function Interval Method for Solving Constrained Continuous Minimax Problem. Journal of China University of Mining and Technology, 2005, 34(1): 129-132.

Google Scholar

[7] HUANG Qiu-hong, OU Chun-xia, CAO De-xin. A Bimaximum-entropy Method for a Sort of Nonlinear Continuous Constrained Minimax Problem. Journal of Guangdong University of Technology, 2005, 22(2): 114- 119.

Google Scholar

[8] LI Su-bei, CAO De-xin, HUANG Qiu-hong. Interval Algorithm for a Class of Constinuous Minimax Problems with the Constraint condition of Linear Equality. College Mathematics, 2005, 21(6): 86-90.

Google Scholar