摘要
研究了具有两阶段服务和服务台故障的M/M/1/N多重休假排队系统.利用马尔可夫过程理论建立了系统稳态概率方程组,并利用分块矩阵解法,得到了稳态概率的矩阵解.然后由此得出了系统的平均队长、平均等待队长等性能指标.
An two-phases-service M/M/1/N queuing system with the server breakdown and multiple vacations was considered. Firstly, equations of steady-state probability were derived by applying the Markov process theory. Then, we obtained matrix form solution of steadystate probability by using blocked matrix method. Finally, some performance measures of the system such as the expected number of customers in the system and the expected number of customers in the queue were also presented.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第21期200-208,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(71071133)
关键词
两阶段服务
服务台故障
多重休假
稳态概率
分块矩阵解法
two phases of service
the server breakdown
multiple vacations
steady-state probability
blocked matrix method
