Exact penalty function and asymptotic strong nonlinear duality in integer programming

被引：2
|
作者：
Bai F.-S. [1 ]
Wu Z.Y. [2 ]
Zhang L.S. [1 ]
机构：
[1] Department of Mathematics, Shanghai University
[2] Department of Mathematics and Computer Science, Chongqing Normal University
来源：
Acta Mathematicae Applicatae Sinica | 2004年 / 20卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Asymptotic strong duality; Exact penalty function; Integer programming;
D O I：
10.1007/s10255-004-0147-1
中图分类号：
学科分类号：
摘要：
In this paper, a logarithmic-exponential penalty function with two parameters for integer programming is discussed. We obtain the exact penalty properties and then establish the asymptotic strong nonlinear duality in the corresponding logarithmic-exponential dual formulation by using the obtained exact penalty properties. The discussion is based on the logarithmic-exponential nonlinear dual formulation proposed in [6]. © Springer-Verlag 2004.
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页码：45 / 52
页数：7
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