Abstract

This paper investigates the reliability and sensitivity analysis for a repairable k-out-of-n:G system with retrial of failed components. Such a model has important practical applications in fully automatic systems, and the most typical one is fully automatic manufacturing system. Markov models for availability and reliability of the system whose components are all subject to two failure modes are presented. There is no waiting space for failed components in the system. If a failed component finds the repairman busy and it can not be repaired at once, it will enter into the retrial orbit and try again for repair after some random period of time. Some reliability indexes, including steady-state availability, reliability function and mean time to system first failure, are derived by using vector Markov process and Laplace transform theory. Sensitivity analysis and relative sensitivity analysis are provided as well. Finally, some numerical experiments are conducted to show the effects of system parameters on the system reliability indexes.

摘要

本文研究了可修复k-out-of-n:G的可靠性和灵敏度分析重试失败组件的系统。这样的模型在全自动系统中有重要的实际应用，最典型的就是全自动制造系统。提出了系统的可用性和可靠性的马尔可夫模型，其组件都受到两种故障模式的影响。系统中没有用于故障组件的等待空间。如果故障部件发现维修人员忙，无法立即维修，则进入重试轨道，随机一段时间后再次尝试维修。利用向量马尔可夫过程和拉普拉斯变换理论推导了一些可靠性指标，包括稳态可用性、可靠性函数和平均系统首次故障时间。还提供了敏感性分析和相对敏感性分析。最后，