Abstract
The batch renewal process can conform exactly to any given (bounded) indices of dispersion or (infinite) sets of correlation functions and is the least biased choice of all possible processes given only such measures of correlation. It contains no feature extraneous to correlation. In particular, it implies no assumptions about traffic burst structure.
This paper presents the usual measures of correlation in relation to general traffic processes, shows that the batch renewal process is of quite different character from other popular models for correlated traffic and gives the procedure to construct the particular batch renewal process for any given measures of correlation. Analysis of a simple queue yields explicit expressions for performance measures in terms of the magnitude of the traffic correlation and shows that the queue generates ‘burst structure’ in the output.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kotikalapudi Sriram, Ward Whitt “Characterizing Superposition Arrival Processes in Packet Multiplexers for Voice and Data, IEEE JSAC 4(6), 1986, pp. 833–846
Demetres Kouvatsos, Rod Fretwell “Closed Form Performance Distributions of a Discrete Time GIG/D/1/N Queue with Correlated Traffic”, to be presented at 6th IFIP Conference on Performance of Computer Networks, Istanbul, 23–26 October, 1995
Riccardo Gusella “Characterizing the Variability of Arrival Processes with Indexes of Dispersion”, IEEE JSAC 9(2), 1991, pp. 203–211
Harry Heffes, David M. Lucantoni “A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance”, IEEE JSAC 4(6), 1986, pp. 856–868
Henry J. Fowler, Will E. Leland “Local Area Network Traffic Characteristics, with Implications for Broadband Network Congestion Management”, IEEE JSAC 9(7), 1991 pp. 1139–1149
Julián Andrade, M. Jesus Martinez-Pascua “Use of the IDC to Characterize LAN Traffic”, in Proc. 2nd. Workshop on Performance Modelling and Evaluation of ATM Networks, (ed. Demetres Kouvatsos), 1994, pp. 15/1–15/12
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Kouvatsos, D., Fretwell, R. (1996). Batch Renewal Process: Exact Model of Traffic Correlation. In: Effelsberg, W., Spaniol, O., Danthine, A., Ferrari, D. (eds) High-Speed Networking for Multimedia Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1339-7_13
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1339-7_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8576-2
Online ISBN: 978-1-4613-1339-7
eBook Packages: Springer Book Archive