Abstract
In this paper, we consider a statistical multiplexer in an ATM network, which is fed by a finite number of independent bursty on/off traffic sources. Most of the previous work assumes a two-state on/off source model, where both the on-periods and the off-periods are geometrically distributed. We assume a general distribution for the on-period lengths, and we study the effect of the on-period distribution on the multiplexer performance. Both the homogeneous and the heterogeneous traffic case are considered. An analytical method is presented to analyze the system, which basically is a generating-functions approach and uses an infinite-dimensional state description. Exact closed-form expressions are obtained for the mean and the tail distribution of the system contents. The numerical evaluation of the derived formulas is simple and not CPU time and/or memory space consuming, whatever the on-period distribution is. Numerical results indicate that, for a given fixed on-period length, the multiplexer performance strongly depends on the actual distribution of the on-period.
Chapter PDF
Similar content being viewed by others
References
Bruneel, H. (1988) Queueing behavior of statistical multiplexers with correlated inputs. IEEE Transactions on Communications, 36, 1339–1341.
Bruneel, H. and Kim, B. G. (1993) Discrete-time models for communication systems including ATM. Kluwer Academic Publishers, Boston.
Bruneel, H.; Steyaert, B.; Desmet, E. and Petit, G. (1994) Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues. European Journal of Operational Research, 76, 563–572.
Elsayed, K. (1994) On the superposition of discrete-time Markov renewal processes and application to statistical multiplexing of bursty traffic sources. Proceedings of IEEE GLOBECOM ‘84, San Francisco, 1113–1117.
Neuts, M. (1989) Structured stochastic matrices of M/G/1 type and their applications. Marcel Dekker Inc., New York.
Simonian, A. and Guibert, J. (1994) Large deviations approximation for fluid queues fed by a large number of on/off sources. Proceedings of ITC 14, Antibes Juan-les-Pins, 1013–1022.
Sohraby, K. (1993) On the theory of general ON-OFF sources with applications in high-speed networks. Proceedings of IEEE INFOCOM ‘83, San Francisco, 401–410.
Steyaert, B. and Bruneel, H. (1995) On the performance of multiplexers with three-state bursty sources: analytical results. IEEE Transactions on Communications, 43, 1299–1303.
Xiong, Y. and Bruneel, H. (1992) Performance of statistical multiplexers with finite number of inputs and train arrivals. Proceedings of IEEE INFOCOM ‘82, Firenze, 2036–2044.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Wittevrongel, S., Bruneel, H. (1996). Effect of the on-period distribution on the performance of an ATM multiplexer fed by on/off sources: an analytical study. In: Fdida, S., Onvural, R.O. (eds) Data Communications and their Performance. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34942-8_3
Download citation
DOI: https://doi.org/10.1007/978-0-387-34942-8_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-4908-3
Online ISBN: 978-0-387-34942-8
eBook Packages: Springer Book Archive