研究了R个修理工进行同步多重休假的带有多个温贮备部件的可修系统,同时考虑了故障部件可能止步的现象。文中利用Markov过程理论建立了系统状态概率的微分差分方程组,利用矩阵理论和Laplace变换反演的方法求解出了系统故障状态概率的精确表达式,从而得到了系统的瞬时可用度和稳态可用度的精确表达式。
A repairable system with warm standbys and R repairmen with multiple synchronous vacations is studied. At the same time, balking of fault units is also considered. The differential-difference equations of state probabilities are obtained by Markov process theory, and the exact expression of failure state probability is derived by using matrix theory and inverse of Laplace-transform. Then instantaneous availability and steady-state availability of the system is presented.