Communications for Statistical Applications and Methods

  • 제9권3호
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  • Pages.649-663
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  • 2002
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Fluid Queueing Model with Fractional Brownian Input

  • Lee, Jiyeon (Department of Statistics, Yeungnam University)
  • 발행 : 2002.12.01
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초록

We consider an unlimited fluid queueing model which has Fractional Brownian motion(FBM) as an input and a single server of constant service rate. By using the result of Duffield and O'Connell(6), we investigate the asymptotic tail-distribution of the stationary work-load. When there are multiple homogeneous FBM inputs, the workload distribution is similar to that of the queue with one FBM input; whereas for the heterogeneous sources the asymptotic work-load distributions is dominated by the source with the largest Hurst parameter.

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참고문헌

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