MAP1, MAP2/M/c retrial queue with the retrial group of finite capacity and geometric loss

BD Choi, Y Chang - Mathematical and Computer Modelling, 1999 - Elsevier
BD Choi, Y Chang
Mathematical and Computer Modelling, 1999Elsevier
We consider the MAP1, MAP2/M/c/∞, K retrial queue with two types of calls, retrial group of
finite capacity and geometric loss. This model is quite general enough to cover most of the
systems in communication networks. We derive the joint distribution of two queue lengths,
the waiting time distribution and the distribution of the busy period. From these results, we
obtain the blocking probability, the mean waiting time, and the mean queue lengths. We give
numerical results to show impact of retrial phenomena on performance measures.
We consider the MAP1, MAP2/M/c/∞, K retrial queue with two types of calls, retrial group of finite capacity and geometric loss. This model is quite general enough to cover most of the systems in communication networks. We derive the joint distribution of two queue lengths, the waiting time distribution and the distribution of the busy period. From these results, we obtain the blocking probability, the mean waiting time, and the mean queue lengths. We give numerical results to show impact of retrial phenomena on performance measures.
Elsevier
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