带有小修和更换策略的多状态退化系统的可靠性分析

On Reliability of a Multi-State Degraded System with Minimal Repairs and Replacement Policy

研究了带有小修和更换策略的多状态退化系统模型.假定系统能连续退化成许多离散状态,直到退化到完全失效便实施更换策略,使系统修复如新.在退化过程中,系统若随机失效将立即得到小修使其恢复到先前的退化状态.建立了系统的马尔可夫过程模型,并利用Laplace变换及其反演方法得到系统可靠度函数和首次故障前的平均时间.此外,还获得了系统的稳态可用度和稳态故障频度.

A multi-state degraded system model with minimal repairs and replacement policy has been developed in this article.It is assumed,according to this model,that the system can degrade consecutively many discrete states until to a complete failure state,and then replacement policy has been implemented and the system made as good as new.In each degraded state,the system can fail randomly and is subjected to minimal repairs,which restore the system into a previous state of degradation.The system is modeled as a continuous-time Markov process.Then by Laplace transform and its inversion,we have derived the reliability indices,such as the reliability function,the mean time to first failure,the steady-state availability and the steady-state failure frequency etc.