带有止步和中途退出的两阶段服务的M/M/1/N多重休假排队系统

摘要

研究一个带有止步和中途退出且具有两阶段服务的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、平均等待队长和顾客的平均损失率等性能指标.%A two-phases-service M/M/l/N queuing system with balking, reneging and multiple vacations is considered. Firstly, a system of equations of steady-state probability was derived by applying the Markov process theory. Then, a matrix form solution of steady-state probability is obtained by using block-matrix method. Finally, some performance measures of the system such as the expected number of customers in the system and in the queue and the average loss rate of the customer were also presented.