MAP
1, MAP2
/M/c retrial queue with guard channels and its application to cellular networks |
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Authors: | Bong Dae Choi Yong Chang Bara Kim |
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Institution: | (1) Department of Mathematics, Korea University, 1, Anam-dong, Sungbuk-ku, 136-701 Seoul, Korea;(2) Information and Telecommunication Business, Samsung Electronics Co., LTD., 263 Seohyeon-Dong Pundang-Gu, 463-050 Sungnam-Shi, Kyunggi-Do, Korea;(3) Department of Mathematics and Center for Applied Mathematics, KAIST, 373-1 Kusung-Dong, Yusong-Gu, 305-701 Taejon, Korea |
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Abstract: | In this paper, we investigate the impact of retrial phenomenon on loss probabilities and compare loss probabilities of several
channel allocation schemes giving higher priority to hand-off calls in the cellular mobile wireless network. In general, two
channel allocation schemes giving higher priority to hand-off calls are known; one is the scheme with the guard channels for
hand-off calls and the other is the scheme with the priority queue for hand-off calls. For mathematical unified model for
both schemes, we consider theMAP
1,MAP
2
/M/c/b, ∞ retrial queue with infinite retrial group, geometric loss, guard channels and finite priority queue for hand-off class.
We approximate the joint distribution of two queue lengths by Neuts' method and also obtain waiting time distribution for
hand-off calls. From these results, we obtain the loss probabilities, the mean waiting time and the mean queue lengths. We
give numerical examples to show the impact of the repeated attempt and to compare loss probabilities of channel allocation
schemes. |
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Keywords: | Retrial Queue MAP Channel Allocation Scheme Matrix-gometric Method |
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