带止步、中途退出和负顾客及反馈的M^(X)/M/1/N多重工作休假排队系统

The M^(X)/M/1/N Queuing System With Balking,Reneging,Negative Customers,Feedback,Batch Arrival and Multiple Working Vacation

为了能够更好地应用休假排队模型,重点讨论了在多重工作休假中加入止步和批量到达两个因素,建立了一类新的工作休假模型.通过马尔科夫过程理论建立了系统稳态概率方程组,利用矩阵几何解法推导出了新模型的稳态概率的矩阵解,得到了系统稳态下的一些性能指标.

In order to better apply the vacation queuing model,a new type of vacation model was established by adding two factors of stop and batch arrival into multiple vacation.The steady-state probability equations of the system are established by markov process theory,and the matrix solution of the steady-state probability of the new model is derived by matrix geometric solution method,and some performance indexes of the system under steady state are obtained.