燕山大学学报2025，Vol.49Issue(2)：177-188,12.DOI:10.3969/j.issn.1007-791X.2025.02.010
离散时间冷贮备可修重试系统可靠性建模
Reliability modeling of discrete-time cold standby repairable retrial systems
摘要
Abstract
A discrete-time cold standby repairable retrial system is studied,which takes into account the two-phase maintenance behavior of failed components and Bernoulli vacation mechanism.All the failed components in the system are carried out the first phase of basic maintenance,and the components after basic maintenance will be carried out the second phase of optional maintenance with a certain probability.Upon completion of a phase of maintenance,the repairman will take a vacation or stay in the system with a certain probability.For the situation where multiple events may occur simultaneously in the discrete time,the priority order of multiple events occurring simultaneously is defined.Two different models are proposed based on two types of priority rules.The key reliability indexes such as system availability,reliability and mean time to first failure are derived by means of iterative algorithm of difference equation and generative function method.A numerical example is given to demonstrate the influence of each parameter on the system performance indexes,and the optimal values of two repair rates corresponding to the minimum value of the cost-benefit ratio are obtained,and the numerical results of transient reliability indexes of the two models are compared.关键词
重试/冷贮备/两阶段维修/Bernoulli休假/可靠度/可用度Key words
retrial/cold standby/two-phase maintenance/Bernoulli vacation/reliability/availability分类
数理科学引用本文复制引用
马梦饶,胡林敏,于晓芸..离散时间冷贮备可修重试系统可靠性建模[J].燕山大学学报,2025,49(2):177-188,12.基金项目
国家自然科学基金资助项目(72071175) （72071175）
中央引导地方科技发展资金项目(246Z0305G) （246Z0305G）
河北省软件工程重点实验室项目(22567637H) （22567637H）
石家庄市驻冀高校基础研究项目(241790737A) （241790737A）
