求多目标拟锥条件下最小弱有效解的同伦内点算法

求多目标拟锥条件下最小弱有效解的同伦内点算法

杨轶华¹, 赵立芹², 吕显瑞¹, 刘庆怀³

1. 吉林大学数学学院, 长春 130012; 2. 吉林大学学报编缉部, 长春 130021; 3. 长春工业大学应用数学研究所, 长春 130012

收稿日期:2006-02-23 修回日期:1900-01-01 出版日期:2007-01-26 发布日期:2007-01-26
通讯作者: 杨轶华

Homotopy Interiorpoint Method for Solving Minimal Weak Effect Solutions of Multiobject Programming underQuasinormal Cone Condition

YANG Yihua¹, ZHAO Liqin², LV Xianrui¹, LIU Qinghuai³

1. College of Mathematics, Jilin University, Changchun 130012, China;2. Editorial Department of Journal of Jilin University, Changchun 130021, China; 3. Institute of Applied Mathematics, Changchun Industry University, Changchun 130012, China

Received:2006-02-23 Revised:1900-01-01 Online:2007-01-26 Published:2007-01-26
Contact: YANG Yihua

摘要/Abstract

摘要： 利用同伦内点算法求解多目标非凸规划在拟锥条件下的最小弱有效解，并证明了算法的大范围收敛性.

关键词: 多目标非凸规划, 拟锥, 最小弱有效解

Abstract: We solved multiobject nonconvex programming by means of homotopyinterior method and got the minimum weak effect solution under quasinormal cone condition; meanwhile we proved the convergence of this method.

Key words: nonconvex multiobject programming, quasinormal cone, the minimal weak effect solution

中图分类号:

O221

杨轶华, 赵立芹, 吕显瑞, 刘庆怀. 求多目标拟锥条件下最小弱有效解的同伦内点算法[J]. J4, 2007, 45(01): 35-38.

YANG Yihua, ZHAO Liqin, LV Xianrui, LIU Qinghuai. Homotopy Interiorpoint Method for Solving Minimal Weak Effect Solutions of Multiobject Programming underQuasinormal Cone Condition[J]. J4, 2007, 45(01): 35-38.