Systems and Means of Informatics

2014, Volume 24, Issue 2, pp 37-54

ESTIMATION OF THE EFFECTIVE BANDWIDTH OF A NODE IN AN INFO-COMMUNICATION TANDEM NETWORK

  • A. V. Borodina
  • . V. Morozov

Abstract

The properties of the effective bandwidth (EB) regenerative estimate of a communication node in the tandem network are investigated. This problem has been studied earlier for a separate node with regenerative input. This setting is natural for acyclic networks because the input renewal process becomes positive recurrent regenerative while crossing the nodes of such a network (under the steady-state condition). Based on the theory of large deviations results, an approximation of the EB is proposed which quality is verified by simulation of a few tandem networks. The Weibull distribution with a light tail, the truncated Pareto distribution, and the exponential distribution are used for service time and the arrived workload, and the number of the nodes is varied from 2 to 40. It is shown that the EB estimator obtained by this approximation ensures the following condition: the overflow probability estimate is always less than the required given value (guarantee of quality of service). This result indicates the possibility to use the proposed approximation for choosing the EB values in the nodes in info-communication highly reliable tandem networks.

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