考虑传输损耗的随机不确定多状态性能共享k/n系统可靠性分析

Reliability Analysis of Random Uncertain Multi-State Performance Sharing k/n System Considering Transmission Loss

针对工程中多状态性能共享系统的实际运行情况,系统性能在传输过程中会有损耗,系统运行数据会由于各种条件限制而不够充足.基于这些情况,利用概率论和不确定理论建立了具有传输损耗的多状态性能共享k/n系统可靠性模型,在部件的性能率和状态概率均为不确定变量的假定下,应用通用生成函数法分析了系统在状态j及以上的可靠度,给出了系统可靠度的数学表达式.通过数值算例验证了模型的合理性和算法的有效性.

Aiming at the actual operation of the multi-state performance sharing system in the project,the system performance will be lost in the transmissionn process,and the system opera-tion data will be insuficient due to various conditions.Based on these conditions,the reliability model of multi-state performance sharing k/n system with transmission loss is established by using probability theory and uncertainty theory.Under the assumption that the performance rate and state probability of components are uncertain variables,the reliability of system in state j or above is analyzed by universal generating function and the mathematical expression of the system reliability is given.Finally,a numerical example is given to verify the rationality of the model and the validity of the algorithm.