We study the stability of single server retrial queues under general distribution for retrial times and stationary ergodic service times, for three main retrial policies studied in the literature: classical linear, constant and control policies. The approach used is the renovating events approach to obtain sufficient stability conditions by strong coupling convergence of the process modeling th...

Consumers often have to join a queue before they can obtain a service; however, they suffer disutility in waiting for the service. When consumers can self-organize the timing of their service visits, they may avoid long queues and choose to retry later. Nevertheless, the existing research on decision-making in queues has focused mainly on join or balk decisions, while acknowledging that some co...

Retrial queues are frequently observed in a real world system likewise call center or internet service industries. In this paper, a retrial queue system in which the number of retrials of each customer is limited by a finite number, say m is considered. That is, if a customer fails to enter the service facility at mth retrial, then the customer leaves the system without service. The effects of ...

There are many practical situations that have both features of customer retrials and server vacations. The vacation policy is characterized by the vacation startup rules and vacation termination rules. The queueing system with retrials and vacations has been described in variety of ways according to the vacation rules and retrial policies such as constant retrial policy and linear retrial polic...

In this paper, we consider retrial queueing systems with batch arrivals in which the server is subject to controllable interruptions (called vacations) and random interruptions (breakdowns). No specific assumption is taken regarding probability distributions of parametric random variables. The purpose of this work is to show effect of above mentioned parameters (in particular retrial and breakd...

Retrial queueing models are often used for the performance and reliability modeling of computer systems and communication networks. The reason is that the return of customers plays a special role in many of these systems as well as in other practical applications, and it has a nonneglectable negative effect on the performance measures. For some applications of retrial queues, see, for example, ...

We consider a retrial queueing system with a finite number of homogeneous sources of calls and a single server. Each source generates a request after an exponentially distributed time. An arriving customer finding the server idle enters into service immediately; otherwise the customer enters into an orbit. The service times are supposed to be exponentially distributed random variables. An orbit...