| 非线性整规划中的精确光滑罚函数 |
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| 引用本文： | 张连生,白富生,徐勤亚.非线性整规划中的精确光滑罚函数[J].运筹学学报,2003,7(1):19-27. |
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| 作者姓名： | 张连生 白富生 徐勤亚 |
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| 作者单位： | 上海大学数学系,上海,200436 |
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| 基金项目： | This research was partially supported by the National Science Foundation of China under Grant 19871053 |
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| 摘 要： | 本文提出了几个非线性整规划 的全局精确光滑罚函数，每个罚函数有两个参数，并且给出了每个罚函数的精确罚参数的估计值，最后，我们举例说明了所提出的罚方法在具有整系数多项式目标函数以约束函数的整数规划中的应用。
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| 关 键 词： | 非线性整规划 精确光滑罚函数 罚参数 最优解 性质 |
Some Smooth Global Exact Penalty Functions for Nonlinear Integer Programming |
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| LIANSHENG ZHANG FUSHEN BAI QINYA XU.Some Smooth Global Exact Penalty Functions for Nonlinear Integer Programming[J].OR Transactions,2003,7(1):19-27. |
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| Authors: | LIANSHENG ZHANG FUSHEN BAI QINYA XU |
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| Abstract: | In this paper, some smooth global exact penalty functions are proposed for integer programming. Each of these penalty functions has two parameters, and the specific threshold-values of the exact penalty parameters are obtained for each case. Finally we illustrate the application of the proposed penalty formulations in polynomial integer programming problem with integer-coefficient objective function and constraint functions. |
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| Keywords: | Nonlinear integer programming penalty function smooth exact penalty function |
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