Retrial queues with server subject to breakdown and repairs
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
Queueing Systems: Theory and Applications
A Discrete-Time Geo/G/1 Retrial Queue with General Retrial Times
Queueing Systems: Theory and Applications
Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues
Mathematical and Computer Modelling: An International Journal
Accessible bibliography on retrial queues
Mathematical and Computer Modelling: An International Journal
Performance evaluation of a discrete-time Geo[X]/G/1 retrial queue with general retrial times
Computers & Mathematics with Applications
A discrete-time Geo/G/1 retrial queue with starting failures and impatient customers
Transactions on computational science VII
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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This paper considers a discrete-time Geo/G/1 retrial queue where the retrial time has a general distribution and the server is subject to starting failures. It is assumed that the server, after each service completion, begins a process of search in order to find the following customer to be served. We analyze the Markov chain underlying the queueing system and obtain its ergodicity condition. The generating functions of the number of customers in the orbit and in the system are also obtained along with the marginal distributions of the orbit size when the server is idle, busy or down. Then, we give two stochastic decomposition laws and as an application we give bounds for the proximity between the system size distributions of our model and the corresponding model without retrials. Finally, some numerical examples show the influence of the parameters on several performance characteristics.