Discrete-time \(Geo_ 1\), \(Geo_ 2/G/1\) retrial queueing systems with two types of calls.

*(English)*Zbl 0878.90041Summary: 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.

##### MSC:

90B22 | Queues and service in operations research |

60K25 | Queueing theory (aspects of probability theory) |

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\textit{B. D. Choi} and \textit{J. W. Kim}, Comput. Math. Appl. 33, No. 10, 79--88 (1997; Zbl 0878.90041)

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##### References:

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