CAJ | 학술논문

为了研究优先权排队策略和不同类型的顾客到达流对广泛应用于通信网络的重试排队模型的排队指标的影响，本文建立了具有非强型优先权顾客的重试排队模型，研究了普通顾客和优先权顾客的到达过程是不同到达率的Markov到达过程。利用拟生灭过程和矩阵分析法求出了系统稳态的充要条件及模型的各项排队指标。通过数值模拟发现Markov到达流相比较Poison流更容易引起系统的拥塞，优先权顾客的到达率增加相比较普通顾客更容易引起系统拥塞等结论。
위료연구우선권배대책략화불동류형적고객도체류대엄범응용우통신망락적중시배대모형적배대지표적영향，본문건립료구유비강형우선권고객적중시배대모형，연구료보통고객화우선권고객적도체과정시불동도체솔적Markov도체과정。이용의생멸과정화구진분석법구출료계통은태적충요조건급모형적각항배대지표。통과수치모의발현Markov도체류상비교Poison류경용역인기계통적옹새，우선권고객적도체솔증가상비교보통고객경용역인기계통옹새등결론。
In order to study the influence of the priority queueing policy and different types of input flows on the retrial queueing model indexes in communication networks, this paper constructs a retrial queueing model with non-preemptive priority in which arrival processes of ordinary and priority customers are different arrival rate Markov processes. The main queueing indexes and system steady state condition of the system are derived by the quasi birth-and-death process and matrix analysis. By means of numerical simulation, we found that Markov arrival input flows are more likely to lead to congestion of the system than Poison input flows do, and the priory customer arrival rate is more likely to lead to congestion of the system than the ordinary customers do.