基于群体搜索的遗传算法求解多目标优化问题具有独特的优势,多目标优化算法已有的研究大多为

算法的设计和数值实验效果的比较,理论研究则很少,本文作者给出了一种求解多目标优化问题的新遗传算法

(RMOGA) ,并用Markov 链的理论对RMOGA 的收敛性进行了研究,其结果表明RMOGA 依概率收敛到问题的

Pareto 前沿面-Population-based genetic algorithm search for multi-objective optimization problem has unique advantages, multi-objective optimization algorithm Yiyou of mostly numerical algorithm design and comparison of experimental results and theoretical studies are few, given for solving this author The new Multi-objective Genetic Algorithm Optimization Problems (RMOGA), and use Markov chain theory RMOGA the convergence of the studies, the results show that the convergence in probability to RMOGA problem Pareto frontier