MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

Numerical solution of a system of equations arising in telecommunication system modeling

  • 1 Meshcheryakov Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia
  • 2 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

Abstract

An overall telecommunication system including users and a queuing system with FIFO discipline of services of the requests at the switching stage is considered. A detailed conceptual model has been developed including BPP (Bernoulli-Poisson-Pascal) input flow; repeated calls; limited number of homogeneous terminals; losses due to abandoned and interrupted dialing, blocked and interrupted switching, not available intent terminal, blocked and abandoned ringing and abandoned communication. Previously, on the basis of this conceptual model, a system of algebraic equations has been derived characterizing the overall state of the telecommunication system. In the present paper, a method for solving the system of equations with respect to certain dynamic parameters is proposed.

Keywords

References

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