This article is cited in 1 scientific paper (total in 1 paper)
Multistability in queues with retransmission and its relationship with large deviations in branching processes
S. A. Grishechkin, M. Devetsikiotis, I. Lambadaris, Ch. Hobbs
We demonstrate that the retransmission policy used in networks can lead to a situation in which a system has many pseudostable states. Only one of these states corresponds to high performance of the system; others are undesirable because of their poor performance. The effect can arise even for a Poisson arrival but becomes more probable for highly bursty traffic. We apply methods of the theory of branching processes for investigation of this phenomenon.
queueing system, branching processes, pseudostationarity.
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Theory of Probability and its Applications, 2003, 47:1, 139–150
S. A. Grishechkin, M. Devetsikiotis, I. Lambadaris, Ch. Hobbs, “Multistability in queues with retransmission and its relationship with large deviations in branching processes”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 188–199; Theory Probab. Appl., 47:1 (2003), 139–150
Citation in format AMSBIB
\by S.~A.~Grishechkin, M.~Devetsikiotis, I.~Lambadaris, Ch.~Hobbs
\paper Multistability in queues with retransmission and its relationship with large deviations in branching processes
\jour Teor. Veroyatnost. i Primenen.
\jour Theory Probab. Appl.
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Tyagi R.R., Aurzada F., Lee K.-D., Kim S.G., Reisslein M., “Impact of Retransmission Limit on Preamble Contention in Lte-Advanced Network”, IEEE Syst. J., 9:3 (2015), 752–765
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