多态系统部件维修成本评估分析

多态系统是可靠性理论中的一种重要系统,是指部件和系统具有多个状态。随着部件的劣化,系统的性能随之下降。为了提高系统的性能,部件需要进行一定的维修。本文考虑部件状态转移率与停留时间的关系,利用重要度理论来分析部件维修成本的变化规律,得出对系统维修成本影响最大的部件。首先,基于维修成本的函数关系,给出了重要度的表达式;其次,针对典型串联系统和并联系统,随着时间推移,给出维修成本的变化规律;最后算例仿真验证了提出方法的有效性和正确性。

Component Maintenance Cost in Multi-state Systems

In multi-state systems, all components and system have multiple states. With the component degradation, the system performance decreases. In order to improve the system performance, component will be maintained. In this paper, based on the relationship between transition rates and sojourn time of component states, the importance measure is used to analyze the variation of the system maintenance cost. The important component influencing the system maintenance cost most can be got. Firstly, the calculation method of the importance measure based on the function of maintenance costs is described. Secondly, with the change of maintenance cost, the importance measure of different component is analyzed in the typical series systems and parallel systems. Finally, a numerical example is simulated to verify the correctness and validity of the proposed method.