关键词: k-out-of-n:G系统, 混合冗余策略, 冗余分配问题, 连续时间马尔可夫链, 伪并行遗传算法

Abstract: Many systems with high reliability requirements are usually designed with k-out-of-n:G structure.However,the reliability optimization for such systems is a rather difficult problem.To further expand the application,a new reliability optimization model using mixed redundancy strategy was proposed.The model introduced mixed redundancy strategy in the reliability optimization of k-out-of-n:G system for the first time,where any one of the (active,cold-standby,or mixed) redundancy strategy might be selected for each subsystem.The mathematical model based on continuous time Markov chain was developed for the accurate calculation of system reliability for the k-out-of-n:G system.A redundancy allocation problem and an engineering case problem were proposed,and a pseudo-parallel genetic algorithm was designed for solving.To evaluate the performance of the new model,the numerical analysis was performed.The experiments results showed that the proposed new model could obtain higher system reliability value compared with previous models and had a good application prospect.

Key words: k-out-of-n:G system, mixed redundancy strategy, redundancy allocation problem, continuous time Markov chain, pseudo parallel genetic algorithm