On a numerical method for calculating stationary characteristics of the switching node with retrial transmissions

  • Authors:
  • Ya. M. Agalarov

  • Affiliations:
  • Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2011

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Abstract

The model is considered of the switching node of packages with a limited buffer storage and retrials of transmissions, which is represented in the form of a multiflow queueing system. Results are presented for the investigation of an iteration method and an algorithm of its realization for calculating the stationary characteristics of the model node. The necessary and sufficient conditions for the realizability of the input primary flow in the system are obtained, in which the total input flows are Poisson ones, and the convergence of the algorithm for estimating the characteristics is proved.