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非线性二层混合整数规划问题的区间算法

Yuan-yuan LIU,De-xin CAO,Jun QIN

Journal of Shandong University(Natural Science)（2018）

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Abstract
讨论了目标函数和约束条件均为一阶连续可微函数的带约束非线性二层混合整数规划问题的区间算法.利用罚函数法和构造目标函数的区间扩张、无解区域的删除检验原则,建立了求解非线性二层混合整数规划问题的区间算法,并进行了数值实验.结论证明和数值实验均表明该算法是可行且有效的.
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Key words
nonlinear two-level programming,integer programming,interval algorithm,penalty function
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