| 一类无约束离散minimax问题的区间斜率方法 |
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| 引用本文： | 吴健波,储丹华.一类无约束离散minimax问题的区间斜率方法[J].青岛大学学报(自然科学版),2009,22(2):27-33. |
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| 作者姓名： | 吴健波 储丹华 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221116 |
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| 摘 要： | 进一步讨论了一类由一阶连续可微函数构成的无约束离散minimax问题。利用区间斜率方法和区域二分原则，构造了极大函数的区间扩张和无解区域删除检验原则，建立了区间斜率算法；对算法进行了数值实验，并给出了数值算例，结果表明：该方法可以同时求出问题的最优值和全部全局最优解，是有效和可靠的。
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| 关 键 词： | minimax问题 区间斜率 全局解 |
An Interval Algorithm for a Class of Constrained minimax Problems |
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| WU Jian-bo,CHU Dan-hua.An Interval Algorithm for a Class of Constrained minimax Problems[J].Journal of Qingdao University(Natural Science Edition),2009,22(2):27-33. |
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| Authors: | WU Jian-bo CHU Dan-hua |
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| Institution: | Faculty of Sciences;China University of Mining and Technology;Xuzhou;Jiangsu 221116;China |
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| Abstract: | In this paper,a class of unconstrained discrete minimax problem is further described,in which the objective functions are in C1.Using the interval slope method and the region bisection method,the interval extensions of maximum functions and region deletion testing rules are constructed,the interval slope algorithm is established.Numerical experiments are performed to the algorithm and numerical results are presented.The results show that the method gets both the best value and all global solutions.The algor... |
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| Keywords: | Minimax problem interval slope global solutions |
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