The burstiness behavior of regulated flows in networks

  • Authors:
  • Yu Ying;Ravi Mazumdar;Catherine Rosenberg;Fabrice Guillemin

  • Affiliations:
  • Dept. of ECE, Purdue University, West Lafayette, IN;Dept. of ECE, University of Waterloo, Waterloo, Ontario, Canada;Dept. of ECE, University of Waterloo, Waterloo, Ontario, Canada;France Telecom R&D DAC/CPN, Lannion, France

  • Venue:
  • NETWORKING'05 Proceedings of the 4th IFIP-TC6 international conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communication Systems
  • Year:
  • 2005

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Abstract

In this paper we study the impact of statistical multiplexing on leaky-bucket regulated traffic streams as they pass through the network. In particular we show that the burstiness of a flow is randomized as it transits through the nodes with mean equal to its initial burstiness value at the ingress. We then show that the random burstiness for a single flow converges to a constant equal to the initial value at the ingress when the flow is multiplexed with a large number of sources. The results do not depend on independence or homogeniety between flows. We conclude by providing some simulation results that confirm the theory.