Reliability and Sensitivity Analysis of a System with Warm Standbys and a Repairable Service Station
Reliability and Sensitivity Analysis of a System with Warm Standbys and a Repairable Service Station
复制标题
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Kuo-Hsiung Wang;Yu-Ju Lai;J. Ke
中科院分区：
文献类型：
--
作者：
Kuo-Hsiung Wang;Yu-Ju Lai;J. Ke
我们研究了具有 M 个运行机器、S 个热备用和一个可修复服务站的系统的可靠性和敏感性分析。假设每台机器（运行或备用）的故障时间和服务时间呈指数分布。当服务站工作时，根据泊松过程，它可能会发生故障。当车站发生故障时，需要在维修机构进行维修，维修时间遵循负指数分布。分析了 M + S 系统中的 K，其中 K = 1, 2, …, M。本文介绍了系统可靠性 Ry(t)、系统平均故障时间、MTTF 的推导以及数值说明。通过分析几个案例来研究各种参数对 Ry(t) 和 MTTF 的影响。还研究了 Ry(t) 和 MTTF 的灵敏度分析。
We study the reliability and sensitivity analysis of a system with M operating machines, S warm standbys, and a repairable service station. Failure times and service times of each machine (operating or standby) are assumed to be exponentially distributed. While the service station is working, it is subject to breakdowns according to a Poisson process. When the station breaks down, it requires repair at a repair facility, where the repair times follow the negative exponential distribution. The K out of M + S system is analyzed where K = 1, 2, …, M. This paper presents derivations for the system reliability, Ry(t), the mean time to system failure, MTTF, and numerical illustration. Several cases are analyzed to investigate the effects of various parameters on the Ry(t) and the MTTF. Sensitivity analysis for the Ry(t) and the MTTF is also studied.