节点文献
一般多目标优化问题的凝聚同伦内点算法
Aggregate homotopy interior-point method for general multiobjective programming
【摘要】 用凝聚函数把等价转化后的不等式约束条件进行光滑逼近,对目标函数进行线性加权转化成单目标函数,然后利用组合同伦内点方法求解多目标优化问题的最小弱有效解,并证明该方法是整体收敛的。
【Abstract】 Inequality constraint conditions after equivalent transformation is smooth approximated by means of aggregate function,and then the multi-objective function is transferred into a single objective function with linear weighing.We get the minimal weak efficient solution for the multi-objective optimization problem via the aggregate homotopy method,and prove that it is globally convergent.
【关键词】 多目标规划;
凝聚函数;
同伦方法;
【Key words】 multi-objective optimization; aggregate function; homotopy method.;
【Key words】 multi-objective optimization; aggregate function; homotopy method.;
【基金】 国家自然科学基金资助项目(10771020);吉林省自然科学基金资助项目(20130101061JC)
- 【文献出处】 长春工业大学学报(自然科学版) ,Journal of Changchun University of Technology(Natural Science Edition) , 编辑部邮箱 ,2014年06期
- 【分类号】O221.6
- 【被引频次】2
- 【下载频次】46