Modelling of a Communication System Evolving in a Random Environment

  by J. Sztrik L. Lukashuk

Abstract:

  This paper is concerned with a queueing model to analyse the asymptotic behaviour of a finite-source communication system with a receiver containing multiple processors of the same kind. The source and processing times of each message are supposed to be exponentially distributed random variables with parameter depending on the state of a varying environment. Assuming that the arrivals of the messages are "fast" compared to their service, it is shown that the time to the first system failure converges in distribution under appropriate norming, to an exponentially distributed random variable.

  Keywords queueing, communication system, reliability, weak convergence.

 Gyenizse Pal 1996. Szeptember 4. Szerda 14:15:12 MET DST