Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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PERFORMANCE ANALYSIS OF THE LEAKY BUCKET SCHEME WITH QUEUE LENGTH DEPENDENT ARRIVAL RATES

  • Choi, Doo-Il (Department of Applied Mathematics, Halla University) ;
  • Lee, Sang-Min (Department of Industrial Engineering, KAIST)
  • Published : 2006.08.01
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Abstract

In this paper, we analyze a leaky bucket (LB) scheme with queue length dependent arrival rates. In other words, if the queue length exceeds an appropriate threshold value on buffer, the arrivals need to be controlled. In ATM networks, if the congestion occurs, the input traffics must be controlled (reduced) for congestion resolution. By the bursty and correlated properties of traffics, the arrivals are assumed to follow a Markov-modulated Poisson process (MMPP). We derive the loss probability and the waiting time distribution for arbitrary cell. The analysis is done by using the embedded Markov chain and supplementary variable method. We also present some numerical examples to show the effects of our proposed LB scheme.

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References

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