具有不可比状态信息的可修MS-PMS可靠性分析

Reliability analysis for repairable MS-PMS with un-comparable states of components

针对复杂多阶段任务系统(PMS)中存在的元件状态多态性和不可比性问题,提出了系统与元件两层的分层模块构建方法,应用连续时间Markov模型(CTMC)描述可修元件之间状态的相依和变迁的动态行为,应用多态多值决策图(MVDD)构建系统的结构函数.为处理元件状态不可比情形,将其分为组内、组间及无约束状态三组,应用CTMC构建了不同变迁约束下部件处于不同阶段时的状态组的联合概率模型,发展了具有不可比元件状态的多状态多阶段任务系统(MSPMS)可靠性分析方法.最后,通过简约形式的飞行任务系统实例,结果表明CTMC下分层分组模块分析方法能有效计算MS-PMS的可靠度,验证了模型与分析方法的可行性.

For analyzing the component states which are multi-states and not comparable in the phasedmission system(PMS),the hierarchical manner is presented for the two levels including system and components.The continuous time Markov chain(CTMC)is used to depict the dependence and transition of states,and the multi-valued decision diagram(MVDD)to model the structure function of system.In order to deal with the states which are not comparable in PMS,the states are grouped as three types,i.e.in group,among group and no restriction.In the case of different transitions,the joint probability model of component states in all stages is developed based on CTMC,and the reliability models of MS-PMS with the states which cannot compared are presented.Finally,a practical example about flying mission system is used to illustrate the practicability,and the results indicate that the layered and grouped approach can compute the reliability of MS-PMS effectively.