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Effect of the number of active sources on ABR buffer size

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Abstract

Rate-based flow control plays an important role for efficient traffic management of Available Bit Rate(ABR) services. We deal with the problem of the buffer dimension for rate-based ABR control. In this paper, we analyze the Allowed Cell Rate(ACR) of a source and the queue size in a steady state. First, we investigate the effect of the number of active sources on the behavior of the ACR and the maximum queue size. Reflecting the effect of this real scenes, we determine the optimal buffer size and buffer threshold. Furthermore, our analytic results are compared with the case when the effect of the number of active sources is disregarded.

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References

  1. E.S.Atieh, M.M.Matalgah and M.Guizani,Duffer Requirements for ABR Traffic Using Congestion Control Mechanism. IEEE International Conference on Performance, Computing and Communications (1999), 250–256.

  2. A.Bak and W.Burakswski,Evaluation of Required Queue Size to Support ABR Service., ISCC’98, 525–529.

  3. J.C.Bolot and A.U.Shankar,Analysis of a Fluid Approximation to Flow Control Dynamics., IEEE INFOCOM ’92, 2398–2407.

  4. N.Golmie and D.Su,Analysis of the Rate-Based Flow Control Mechanism for Available Bit Rate Traffic in ATM Networks. Proceedings of the 3rd International Conference on Optical Communications and Networks, France (1996), 233–266.

  5. L. Lleinrock,Queueing Systems, Volume 2: Computer Applications. Wiley-Interscience, New York, 1976.

    Google Scholar 

  6. S.Muddu, F.Chiussi, C.Tryfonas and V.Kumar,Max-Min Rate Control for Available Dit Rate Service in ATM Networks, ICC’96, 412–418.

  7. M. Schwartz, BroadbandIntegrated Networks. Prentice Hall, New Jersey, 1996.

    Google Scholar 

  8. S.K. Thrispathi and A. Duda,Time-dependent analysis of queueing systems. INFOR24(1986), 3, 199–220.

    Google Scholar 

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Correspondence to Yutae Lee.

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This work was supported by Korea Research Foundation Grant (KRF-99-015-DI0016).

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Lee, Y., Han, D.H. Effect of the number of active sources on ABR buffer size. Korean J. Comput. & Appl. Math. 7, 629–641 (2000). https://doi.org/10.1007/BF03012273

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  • DOI: https://doi.org/10.1007/BF03012273

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