Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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TRANSIENT ANALYSIS OF A QUEUEING SYSTEM WITH MARKOV-MODULATED BERNOULLI ARRIVALS AND OVERLOAD CONTROL

  • Choi, Doo-Il (Department of Applied Mathematics, Halla University)
  • Published : 2004.05.01

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Abstract

This paper considers overload control in telecommunication networks. Markov-modulated Bernoulli process ( MMBP ) has been extensively used to model bursty traffics with time-correlation. Thus, we investigate the transient behavior of the queueing system MMBP/D/l/K queue with two thresholds. The model is analyzed recursively by using the generating function method. We obtain the transient queue length distribution and waiting time distribution at an arbitrary time. The transient behavior of the queueing system helps observing the temporary system behavior.

Keywords

References

  1. IEEE Trans. Commun. v.37 Overload control in a finite message storage buffer S-Q Li
  2. Performance Evaluation v.17 Transient analysis of a switched Poisson arrival queue under overload control D. S. Lee;S-Q. Li
  3. Korean Journal of Computational and Applied Mathematics v.8 no.1 Discrete-time analysis of overload control for bursty traffic D. I. Choi
  4. SIAM J. Appl. Math. v.63 no.2 A dynamic priority queue model for simultaneous service of two traffic types C. Knessl;D. I. Choi;C. Tier