基于PH分布的温储备可修系统可靠性模型  

Reliability model for warm standby repairable system based on PH distribution

作　　者：狄鹏[1] 陈童 胡斌[1] 尹东亮 DI Peng;CHEN Tong;HU Bin;YIN Dongliang(Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China)

机构地区：[1]海军工程大学管理工程与装备经济系,湖北武汉430033

出　　处：《系统工程与电子技术》2019年第2期459-464,共6页Systems Engineering and Electronics

基　　金：国家自然科学基金(71501183)资助课题

摘　　要：针对以往研究利用指数分布等典型分布导致系统可靠性建模约束条件过于严格的问题,以包含n个单元的温储备可修系统为研究对象,考虑系统具有单一维修台,采用可近似拟合任意分布的Phase-type(PH)分布构建了一种描述能力更强的系统可靠性模型,假设工作单元、备用单元寿命和维修时间分别服从不同的PH分布,得出了系统稳态可用度、系统平均连续工作时间、维修台故障单元到达率等一系列可靠性参数的解析表达式。最后,通过算例分析验证了该方法的正确性和适用性。Considering overly restrictive conditions of system reliability modelling with exponential distribution and other typical distributions in previous studies, a highly descriptive system reliability model is constructed utilizing the phase-type (PH) distribution, which has the ability to fit any distribution approximately, for an N -component warm standby repairable system that has only a single repair platform. Assuming that the life and repair time of operating and standby components are subject to different PH distributions, expressions are obtained for a series of reliability parameters including system steady-state availability, mean time between failures of the system, and failed unit arrival rate of the repair platform. Finally, example analysis is performed to verify the correctness and applicability of this approach.

关 键 词：Phase-type分布 温储备 可修系统 可靠性 

分 类 号：F253.4[经济管理—国民经济]