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Discrete-time \(Geo_ 1\), \(Geo_ 2/G/1\) retrial queueing systems with two types of calls. (English) Zbl 0878.90041
Summary: We consider a discrete-time \(Geo_1, Geo_2/G/1\) retrial queue with two types of calls. When arriving calls are blocked due to the server being busy, Type I calls are queued in the priority queue with infinite capacity whereas, Type II calls enter the retrial group in order to try service again after a random amount of time. We find the joint generating function of the number of calls in the priority queue and the number of calls in the retrial group in a closed form. It is shown that our results are consistent with those already known for special cases.

90B22 Queues and service in operations research
60K25 Queueing theory (aspects of probability theory)
Full Text: DOI
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