Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Simultaneity in discrete-time single server queues with Bernoulli inputs
Performance Evaluation
Frontiers in queueing
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
A Discrete-Time Geo/G/1 Retrial Queue with General Retrial Times
Queueing Systems: Theory and Applications
A discrete-time Geo/G/1 retrial queue with starting failures and second optional service
Computers & Mathematics with Applications
Discrete-time Geo/G/1 retrial queue with general retrial times and starting failures
Mathematical and Computer Modelling: An International Journal
Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues
Mathematical and Computer Modelling: An International Journal
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
A discrete-time Geo/G/1 retrial queue with starting failures and impatient customers
Transactions on computational science VII
Analysis of the successful and blocked events in the Geo/Geo/c retrial queue
Computers & Mathematics with Applications
Discrete-time Geo1,GeoX2/G1,G2/1 retrial queue with two classes of customers and feedback
Mathematical and Computer Modelling: An International Journal
An improved truncation technique to analyze a Geo/PH/1 retrial queue with impatient customers
Computers and Operations Research
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We consider a discrete-time Geo^[^X^]/G/1 retrial queue with general retrial times. The system state distribution as well as the orbit size and the system size distributions are obtained in terms of their generating functions. These generating functions yield exact expressions for different performance measures. The present model is proved to have a stochastic decomposition law. Hence, a measure of the proximity between the distributions of the system size in the present model and the corresponding one without retrials is derived. A set of numerical results is presented with a focus on the effect of batch arrivals and general retrial times on the system performance. It appears that it is the mean batch size (and not the batch size distribution) that has the main effect on the system performance. Moreover, increasing the mean batch size is shown to have a noticeable effect on the size of the stability region. Finally, geometric retrial times are shown to have an overall better performance compared with two other distributions.