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Delay analysis for ATM queues with random order of service

Delay analysis for ATM queues with random order of service

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The delay in a discrete-time ATM queue of GI-D-1 type with random order of service is analysed by means of a generating functions approach. The analysis directly yields closed-form formulas for the moments of the delay. The proposed approach may also be a basis for the delay analysis of more complicated discrete-time queueing models with random order of service.

References

    1. 1)
      • L. Takács . Delay distributions for one line with Poisson input, general holdingtimes, and various orders of service. Bell Syst. Tech. J. , 2 , 487 - 503
    2. 2)
      • M. Karol , M. Hluchyj , S. Morgan . Input versus output queueing on a space-division packet switch. IEEE Trans. , 12 , 1347 - 1356
    3. 3)
      • M. Hluchyj , M. Karol . Queueing in high-performance packet switching. IEEE J. Sel. Areas Commun. , 9 , 1587 - 1597
    4. 4)
      • H. Bruneel , B.G. Kim . (1993) Discrete-time models for communication systems including ATM.
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