工作休假中可故障的M/M/1排队系统  

The M/M/1 vacation queue system with breakdown in the working vacation

作　　者：李丹丹[1] 吕胜利[1] 刘红丹[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《西北师范大学学报（自然科学版）》2013年第4期29-33,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(71071133);河北省自然科学基金资助项目(G2012203136)

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.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.

关 键 词：排队系统 工作休假 拟生灭过程 矩阵几何解 

分 类 号：O226[理学—运筹学与控制论]