On the Behavior of Multiserver Buffers with Geometric Service Times and Bursty Input Traffic
Summary :
Discrete-time queueing models have been studied for many years because of their direct applicability in the performance evaluation of digital communication system and networks, where buffers are used to temporarily store information packets which cannot be transmitted instantaneously. In this paper, we investigate the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive in the system according to a two-state correlated arrival process. The service times of the packets are assumed to be independent and identically distributed according to a geometric distribution. We present an analytical technique, based on the use of generating functions, for the analysis of the system. Explicit expressions are obtained for the mean values, the variances and the tail distributions of the system contents and the packet delay. The influence of the various model parameters on the behavior of the system is shown by means of some numerical examples.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E87-B No.12 pp.3576-3583
- Publication Date
- 2004/12/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Fundamental Theories for Communications
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Peixia GAO, Sabine WITTEVRONGEL, Herwig BRUNEEL, "On the Behavior of Multiserver Buffers with Geometric Service Times and Bursty Input Traffic" in IEICE TRANSACTIONS on Communications,
vol. E87-B, no. 12, pp. 3576-3583, December 2004, doi: .
Abstract: Discrete-time queueing models have been studied for many years because of their direct applicability in the performance evaluation of digital communication system and networks, where buffers are used to temporarily store information packets which cannot be transmitted instantaneously. In this paper, we investigate the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive in the system according to a two-state correlated arrival process. The service times of the packets are assumed to be independent and identically distributed according to a geometric distribution. We present an analytical technique, based on the use of generating functions, for the analysis of the system. Explicit expressions are obtained for the mean values, the variances and the tail distributions of the system contents and the packet delay. The influence of the various model parameters on the behavior of the system is shown by means of some numerical examples.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e87-b_12_3576/_p
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@ARTICLE{e87-b_12_3576,
author={Peixia GAO, Sabine WITTEVRONGEL, Herwig BRUNEEL, },
journal={IEICE TRANSACTIONS on Communications},
title={On the Behavior of Multiserver Buffers with Geometric Service Times and Bursty Input Traffic},
year={2004},
volume={E87-B},
number={12},
pages={3576-3583},
abstract={Discrete-time queueing models have been studied for many years because of their direct applicability in the performance evaluation of digital communication system and networks, where buffers are used to temporarily store information packets which cannot be transmitted instantaneously. In this paper, we investigate the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive in the system according to a two-state correlated arrival process. The service times of the packets are assumed to be independent and identically distributed according to a geometric distribution. We present an analytical technique, based on the use of generating functions, for the analysis of the system. Explicit expressions are obtained for the mean values, the variances and the tail distributions of the system contents and the packet delay. The influence of the various model parameters on the behavior of the system is shown by means of some numerical examples.},
keywords={},
doi={},
ISSN={},
month={December},}
Copy
TY - JOUR
TI - On the Behavior of Multiserver Buffers with Geometric Service Times and Bursty Input Traffic
T2 - IEICE TRANSACTIONS on Communications
SP - 3576
EP - 3583
AU - Peixia GAO
AU - Sabine WITTEVRONGEL
AU - Herwig BRUNEEL
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E87-B
IS - 12
JA - IEICE TRANSACTIONS on Communications
Y1 - December 2004
AB - Discrete-time queueing models have been studied for many years because of their direct applicability in the performance evaluation of digital communication system and networks, where buffers are used to temporarily store information packets which cannot be transmitted instantaneously. In this paper, we investigate the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive in the system according to a two-state correlated arrival process. The service times of the packets are assumed to be independent and identically distributed according to a geometric distribution. We present an analytical technique, based on the use of generating functions, for the analysis of the system. Explicit expressions are obtained for the mean values, the variances and the tail distributions of the system contents and the packet delay. The influence of the various model parameters on the behavior of the system is shown by means of some numerical examples.
ER -
English
