Retrial Queues With Priority Subscribers And Clearing Policy

In this paper, two models on M₂/G₂/1 retrial queue with negative arrivals andpriority customers are studied under the clearing policy.Queuing systems based on customers' retrial behavior are stepped from the study of telephone service problems. Due to their reasonable assumptions as well as widely applied background in modern telecommunication networks, computer systems, telephone switching systems and supply chain management, retrial queuing systems have attracted the extensive attention of numerous experts and scholars in the recent twenty years. The negative customer is a kind of special customer, such as signal interference in telecommunication networks and the influence of virus in computer networks. The combination of the negative customer and queuing system is a new research area.In addition, retrial queuing system with priority subscribers has been attached great attention of many researchers. In the telecommunication system, electrical and computer systems, some customers should be given priority service. Therefore, the study of this kind of queuing system is of great importance.In the thesis, 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 of the arrival of negative customers, which delete all priority customers in the system. Using a supplementary variable method, we get some indexes for both queuing and reliability measures of interest.