带负顾客、止步和中途退出的M^(x)/M/1/N单重工作休假排队系统

M^(x)/M/1/Nsingle working vacation queuing system with negative customers,balking,reneging

在单重工作休假中加入止步和批量到达2个因素,建立了带负顾客、止步和中途退出的M^(x)/M/1/N单重工作休假排队系统.利用马氏理论和矩阵法建立了系统的稳定状态方程组,同时得出了其稳态概率的矩阵解,获得了系统稳态下的一些性能指标.

M^(x)/M/1/Nsingle working vacation queuing system with negative customers,balking,reneging is established by adding two factors of balking and batch arrival into single working vacation.The steady-state equations of the system are established by using Markov theory and matrix method,and the matrix solution of steady-state probability is obtained,and some steady-state performance indexes of the system are obtained.