The M/M/c retrial queue with geometric loss and feedback

BD Choi, YC Kim, YW Lee - Computers & Mathematics with Applications, 1998 - Elsevier
BD Choi, YC Kim, YW Lee
Computers & Mathematics with Applications, 1998Elsevier
… [6] have studied M/G/l retrial queue with loss. In this paper we consider M/M/c retrial
queues with both geometric loss and feedback. We derive the joint distribution of the server
state and the queue length for M/M/l retrial queue with geometric loss and feedback by the
confluent hypergeometric equation (Kummer’s differential equation) and the method of
series solution. It, is shown that our results are consistent with M/M/…
We consider M/M/c retrial queues with geometric loss and feedback when c = 1,2. We find the joint generating function of the number of busy servers and the queue length by solving Kummer differential equation for c = 1, and by the method of series solution for c = 1,2.
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