| Min-Max-Min问题的区间极大熵算法 |
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| 引用本文： | 陈月霞,孙明杰,褚廷湘.Min-Max-Min问题的区间极大熵算法[J].黑龙江科技学院学报,2007,17(5):397-402. |
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| 作者姓名： | 陈月霞 孙明杰 褚廷湘 |
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| 作者单位： | 1. 中国矿业大学,理学院,江苏,徐州,221116
2. 中国矿业大学,能源学院,江苏,徐州,221116 |
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| 摘 要： | 讨论了目标函数和约束函数都是一阶连续可微的离散Min-Max-Min问题.利用罚函数法和极大熵函数思想将问题转化为无约束可微优化问题,构造了极大熵函数的区间扩张并证明了它的收敛性,给出了无解区域删除原则,建立了区间极大熵算法,理论证明和实例计算表明算法是可靠和有效的.
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| 关 键 词： | Min-Max-Min问题 罚函数 区间算法 极大熵函数 优化问题 区间扩张 极大熵算法 problem discrete constrained algorithm 计算表 理论证明 删除原则 区域 无解 收敛性 极大熵函数 构造 连续可微 无约束 转化 函数思想 罚函数法 |
| 文章编号： | 1671-0118（2007）05-0397-06 |
| 修稿时间： | 2007-05-30 |
Interval maximum-entropy algorithm for a constrained discrete Min-Max-Min problem |
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| CHEN Yuexia,SUN Mingjie,CHU Tingxiang.Interval maximum-entropy algorithm for a constrained discrete Min-Max-Min problem[J].Journal of Heilongjiang Institute of Science and Technology,2007,17(5):397-402. |
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| Authors: | CHEN Yuexia SUN Mingjie CHU Tingxiang |
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| Institution: | 1. College of Sciences, China University of Mining and Technology;2. School of Enengy and Safety, China University of Mining and Technology, Xuzhou 221116, China |
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| Abstract: | This paper discusses a discrete Min-Max-Min problem, whose objective functions and con- strained functions are in C1 functions. Based on the penalty function methods and the idea of the maximum-entropy function, the paper introduces the transformation of this problem into unconstrained differentiable optimization one and the construction of the interval extensions of the maximum-entropy functions. The paper proves relevant properties and provides the region deletion test rules. The paper highlights the design of an interval maximum-entropy algorithm. Theory and numerical results show that the method is reliable and efficient. |
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| Keywords: | Min-Max-Min problem penalty function interval algorithm maximum-entropy function |
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