基于混合冗余策略的k-out-of-n:G系统可靠性优化模型  

Reliability optimization model for k-out-of-n:G systems based on mixed redundancy strategy

作　　者：张进春 吕航 侯锦秀[2] ZHANG Jinchun;LYU Hang;HOU Jinxiu(Research Center for Energy Economy,School of Business Administration,Henan Polytechnic University,Jiaozuo 454003,China;School of Safety Science and Technology,Henan Polytechnic University,Jiaozuo 454003,China)

机构地区：[1]河南理工大学工商管理学院能源经济研究中心,河南焦作454003 [2]河南理工大学安全科学与工程学院,河南焦作454003

出　　处：《计算机集成制造系统》2023年第3期852-863,共12页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(51774113)。

摘　　要：很多对可靠性要求极高的系统通常被设计成k-out-of-n:G结构,然而对该类系统的可靠性优化是一个相当困难的问题。为进一步扩展模型的适用性,提出一种采用混合冗余策略的可靠性优化新模型。该模型首次在k-out-of-n:G系统的可靠性优化中引入混合冗余策略,可以为每个子系统选择(积极、冷备份或混合)冗余策略中的任何一个。首先,基于连续时间马尔可夫链为k-out-of-n:G系统建立精确计算系统可靠性的数学模型。其次,提出一个冗余分配问题和一个工程案例问题,并设计一种伪并行遗传算法进行求解。最后,为评估新模型的性能,通过对提出的两个问题进行数值分析来评估新模型的性能。实验证明,相比以往模型研究,所提新模型得到更高的系统可靠性值,具有良好的应用前景。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.

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 

分 类 号：F253.3[经济管理—国民经济]