Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Numerical investigation of a multiserver retrial model
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
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
Performance evaluation of a discrete-time Geo[X]/G/1 retrial queue with general retrial times
Computers & Mathematics with Applications
Computers and Industrial Engineering
A discrete-time Geo/G/1 retrial queue with starting failures and impatient customers
Transactions on computational science VII
Discrete-time Geo/G/1 retrial queue with general retrial times and starting failures
Mathematical and Computer Modelling: An International Journal
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This paper studies discrete-time single server retrial queues with phase-type interarrival times and geometric service times. A matrix analytical method is applied to derive the analytical solution for the joint steady-state distribution of arrival phases and queue sizes of the system. The necessary and sufficient condition for system stability is also determined. Based on the special form of the matrix analytic solution of the system, upper and lower bounds for the joint steady-state distribution of arrival phases and queue sizes are developed. It is shown that the errors between these upper and lower bounds can be made as small as desired. Finally, an efficient and numerically stable algorithm for computing the joint steady-state probabilities of arrival phases and queue sizes is presented.