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中文摘要：
讨论了带有启动时间和工作休假中可故障的M／M／1休假排队系统，利用拟生灭过程与矩阵几何解方法导出了系统的稳态平衡条件和稳态概率向量．进一步，得到了系统的稳态可用度、稳态故障频度等可靠性指标，并通过Matlab对其结果做了相应的数值分析．
英文摘要：
The M investigated. By u equilibrium conditi instantaneous avail M/1 queue system with setup times and breakdown in the working vacation is sing quasi birth and death（QBD） process and matrix-geometric solution method, the on and the steady-state probability vectors of the system are derived. Furthermore, the ability and the instantaneous fault frequency are obtained. And then by aid of Matlab software, some numerical analysis is given for the results.
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