一类非凸多目标优化问题的同伦算法  

Homotopy method for a class of non-convex multiobjective programming problems

作　　者：李金燕[1] 金星[2] 贺莉[1] LIJinyan JINXing HELi(School of Basic Science, Changehun University of Technology, Changchun 130012, China Phamacy Department, Changchun Medical College, Changchun 130031, China)

机构地区：[1]长春工业大学基础科学学院,吉林长春130012 [2]长春医学高等专科学校药学系,吉林长春130031

出　　处：《长春工业大学学报》2016年第5期422-427,共6页Journal of Changchun University of Technology

基　　金：吉林省自然科学基金资助项目(20130101061JC)

摘　　要：给出一类非凸区域的拟法锥构造方法,并在该可行域上建立多目标优化问题的KKT点组合同伦方程,证明了同伦算法的整体收敛性,数值例子说明此方法是可行和有效的。We give a method to construct the quasi-normal cone in a class of non-convex regions in which the combined K-K-T points homotopy equation of the multi-objective programming problem is built up.It is proved that the method is with global convergence property by means of numerical examples.

关 键 词：多目标规划 拟法锥条件 同伦方法 

分 类 号：O221.6[理学—运筹学与控制论]