Geodesic
Multistability in queues with retransmission and its relationship with large deviations in branching processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 188-199

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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.
Keywords: queueing system, branching processes, pseudostationarity. 
@article{TVP_2002_47_1_a17,
     author = {S. A. Grishechkin and M. Devetsikiotis and I. Lambadaris and Ch. Hobbs},
     title = {Multistability in queues with retransmission and its relationship with large deviations in branching processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {188--199},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a17/}
}
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S. A. Grishechkin; M. Devetsikiotis; I. Lambadaris; Ch. Hobbs. Multistability in queues with retransmission and its relationship with large deviations in branching processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 188-199. http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a17/