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Interrelation of characteristics of blocked RMA stack algorithms

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Abstract

A method to analyze the duration of collision resolution for blocked RMA stack algorithms is proposed. Simple formulas are obtained that express the average length of a collision resolution interval for the modified (frugal) algorithm in a noisy and in a noiseless channel, as well as for the basic algorithm in a noisy channel, through the corresponding parameters for the basic algorithm in a noiseless channel. From estimates of the throughput of the basic algorithm in a noiseless channel, estimates for the throughput in the other three cases are directly constructed.

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References

  1. Tsybakov, B.S. and Mikhailov, V.A., Free Synchronous Packet Access in a Broadcast Channel with Feedback, Probl. Peredachi Inf., 1978, vol. 14, no. 4, pp. 32–59 [Probl. Inf. Trans. (Engl. Transl.), 1978, vol. 14, no. 4, pp. 259–280].

    MATH  MathSciNet  Google Scholar 

  2. Capetanakis, J.I., Tree Algorithms for Packet Broadcast Channels, IEEE Trans. Inform. Theory, 1979, vol. 25, no. 5, pp. 505–515.

    Article  MATH  MathSciNet  Google Scholar 

  3. Tsybakov, B.S., Survey of USSR Contributions to Random Multiple-Access Communications, IEEE Trans. Inform. Theory, 1985, vol. 31, no. 2, pp. 143–165.

    Article  MATH  MathSciNet  Google Scholar 

  4. Györfi, L., Györi, S., and Massey, J.L., Principles of Stability Analysis for Random Accessing with Feedback, Multiple Access Channels: Theory and Practice, Biglieri, E. and Györfi, L., Eds., Amsterdam: IOS Press, 2007, pp. 214–249.

    Google Scholar 

  5. Evseev, G.S. and Ermolaev, N.G., Performance Evaluation of the Collision Resolution for a Random-Access Noisy Channel, Probl. Peredachi Inf., 1982, vol. 18, no. 2, pp. 101–105.

    MATH  Google Scholar 

  6. Evseev, G.S. and Turlikov, A.M., Throughput Analysis for a Noise-Resistant Multiple Access Algorithm, Probl. Peredachi Inf., 1986, vol. 22, no. 2, pp. 104–109.

    MATH  Google Scholar 

  7. Evseev, G. and Turlikov, A., The Multiple-Random-Access Algorithms Analysis Based on Tree Properties, in Proc. 5th Joint Soviet-Swedish Int. Workshop on Information Theory, Moscow, 1991.

  8. Janssen, A.J.E.M. and de Jong, M.J.M., Analysis of Contention Tree Algorithms, IEEE Trans. Inform. Theory, 2000, vol. 46, no. 6, pp. 2163–2172.

    Article  MATH  Google Scholar 

  9. Györfi, L. and Györi, S., Analysis of Tree Algorithm for Collision Resolution, in Proc. 2005 Int. Conf. on Analysis of Algorithms, Barcelona, Nancy: Assoc. Discrete Math. Theor. Comput. Sci., 2005, pp. 357–364.

    Google Scholar 

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Correspondence to G. S. Evseev.

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Original Russian Text © G.S. Evseev, A.M. Turlikov, 2007, published in Problemy Peredachi Informatsii, 2007, Vol. 43, No. 4, pp. 83–92.

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Evseev, G.S., Turlikov, A.M. Interrelation of characteristics of blocked RMA stack algorithms. Probl Inf Transm 43, 344–352 (2007). https://doi.org/10.1134/S0032946007040072

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