考虑使用与维修优先权的冷贮备系统可靠性模型分析

Analysis of cold standby system reliability model considering use and repair priority

针对装备系统中部件关键重要程度不同的情况,以具有使用与维修优先权的多部件冷贮备系统为研究对象,利用适用性较强的phase-type(PH)分布代替以往在可靠性建模中采取的指数分布、Weibull分布等典型分布,统一描述了系统各部件的寿命和维修时间,并建立了通用性更好的系统可靠性模型。在模型解析过程中,采用矩阵解析方法,获得了系统的可靠度函数、稳态可用度以及系统平均开工时间、平均停工时间等工程实践中常用的系统可靠性指标解析表达式,并利用算例验证了模型的适用性,讨论了贮备部件数量对系统可靠性指标的影响。研究结果表明,利用PH分布对具有使用和维修优先权的冷贮备系统进行可靠性解析建模,不仅具有良好的解析特性,而且能够有效地保证模型的适用性,在工程实践中具有良好的应用价值。

Aiming at the problems that the parts of the equipment system had different critical im-portance, taking the cold storage system of multi-component s wi th use and repai r priori ty as the research object , a more general ized system reliability model was establ ished by using the more applicability phase-type （PH ） distribution instead of the exponential distribution and Weibull dis-tribution in the reliability model ing to describe the service life and repai r time of system compo-nents .By using matrix analysis method,the analytical expressions of the reliability function , steady state availability and mean up-time and mean down-time of the system were obtained . The example was used to verify the applicability of the model ,and the influence of the number of spare parts on the system reliability index was discussed .The resul ts showed that the reliability modeling of the cold storage system with use and repai r priority using the PH distribution not on-ly had good analytical properties ,but also could effectively ensure the applicability of the model, which had good appl ication value in engineering practice .