清理策略下有优先权排队的M_2/G_2/1重试排队系统

在有负顾客到达可清空优先权排队中的全部顾客的机制下,研究了M_1,M_2/G_1,G_2/1重试排队系统.假设两类顾客的到达分别服从独立的泊松过程,如服务器忙,优先级高的顾客则排队等候服务,而优先级低的顾客只能进入Orbit中进行重试,直到重试成功.此外,假设负顾客的到达服从Poisson过程,当负顾客到达系统时,若发现服务台忙,将带走正在接受服务的顾客及优先权队列中的顾客.若服务台空闲,则负顾客立即消失,对系统没有任何影响.应用补充变量及母函数法给出了该模型的稳态解的拉氏变换表达式.

An M2/G2/1 Retrial Queue with Priority Subscribers and Clearing Policy

An M_2/G_2/1 retrial queue with negative arrivals and priority customers is studied under the clearing policy.Priority customers and non-priority customers arrive according to two different independent Poisson flows.In the case of blocking the priority customers can be queued whereas the non-priority customers must leave the service area but return after some random period of time to try their luck again.Besides,we also consider the influence on the arrival of negative customers,which delete all priority cu...