Article ID: | iaor20013016 |
Country: | Netherlands |
Volume: | 30 |
Issue: | 3/4 |
Start Page Number: | 89 |
End Page Number: | 98 |
Publication Date: | Mar 1999 |
Journal: | Mathematical and Computer Modelling |
Authors: | Bocharov P.P., Pavlova O.I., Puzikova D.A. |
Keywords: | M/G/1 queues, retrial systems |
We analyze a single-server retrial queueing system with finite buffer, Poisson arrivals, and general distribution of service time. If an arriving customer finds the queue completely occupied he joins a retrial group (or orbit) in order to seek service again after an exponentially distributed amount of time. We obtain a stationary distribution of the primary queue size, a recurrent algorithm for the factorial moments of the number of retrial customers and an expression for the expected number of customers in the system.