摘要
本文提出了几个非线性整规划中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及约束函数的整数规划中的应用.
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.
出处
《运筹学学报》
CSCD
北大核心
2003年第1期19-27,共9页
Operations Research Transactions
基金
This research was partially supported by the National Science Foundation of China under Grant 19871053
关键词
非线性整规划
精确光滑罚函数
罚参数
最优解
性质
Nonlinear integer programming, penalty function, smooth exact penalty function.