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

Authors:
B. D. Choi;Y. Chang
Affiliations:
Department of Mathematics, Korea University 1, Anam-dong, Sungbuk-gu, Seoul 136-701, Korea;Telecom. R & D Center, Samsung Electronics Co. LTD Seungnam-shi, Kyunggi-do, Korea
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

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Abstract

We consider the MAP"1, MAP"2/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.