不确定可靠性优化问题的多目标粒子群优化算法

针对元件可靠性为区间值的系统可靠性优化问题, 提出一种区间多目标粒子群优化方法. 首先, 建立问题的区间多目标优化模型; 然后, 利用粒子群算法优化该模型, 定义一种不精确Pareto 支配关系, 并给出编码、约束处理、外部存储器更新、领导粒子选择等关键问题的解决方法; 最后, 将该方法应用于可靠性优化问题实例, 验证了方法的有效性.

Multi-objective particle swarm optimization for uncertain reliability optimization problems

To solve the reliability optimization problem of a system with interval valued reliability of each component, an interval multi-objective particle swarm optimization approach is proposed. Then, the problem is formulated as a multi- objective optimization problem with interval valued objectives. Then, the model is solved by using the particle swarm optimization algorithm. Specifically, the imprecise Pareto dominance relation is defined, and the solutions to the key problems such as encoding of particles, handling of constraints, updation of the external repository, and selection of particle leaders, are presented. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.