带有部分工作休假和休假中断的M/M/c排队

考虑了一个带有部分工作休假和休假中断的多服务台M/M/c排队.在休假期,d(d

The M/M/c Queue with Partial Working Vacations and Vacation Interruption

Consider a multi-server M/M/c queue with partial working vacations and vacation interruption.In such system,d servers keep on taking service at a lower rate in the vacation period,and the other c-d servers go to the normal vacation.Meanwhile,we introduce another vacation policy: vacation interruption,i.e.,when a service is completed in the vacation period,if there are at least d customers in the system,all servers will come back to the normal working level rather than keeping on the vacation;otherwise,they continue the vacation.Using quasi birth and death process and matrix-geometric solution method,we obtain the steady-state distribution for queue length.Furthermore,we indicate conditional stochastic decomposition structures for queue length and waiting time under the condition that all the servers are busy.