具有多个操作部件可修复系统的可靠性分析

Reliability and Stability Analysis of Repairable System with Several Operating Units

针对具有3个及3个以上操作部件的可修复系统建立了相应的微分方程模型,利用Laplace变换给出了一种模型解析解的计算方法;然后针对维数大的问题建立了一种新的数值求解算法,既可以得到模型的解析解又可以避免解析表达式的繁琐计算.最后针对不同的情况进行了数值试验,通过对数值结果的分析得到了几个对实际问题具有借鉴意义的结论.

We construct the differential equation model based on a repairable system with more than 3 operating units and get the analytical solution using Laplace transform. Then a new numerical algorithm is given aiming at the disadvantage of large dimension which only can give the analytical solution but also avoid calculating the complex analytical expressions. Finally we use numerical examples to prove the rationality and validity of the model and method and get several feasible and effective conclusions.