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.

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Keywords Branching processes, Pseudostationarity, Queueing system
Persistent URL dx.doi.org/10.1137/S0040585X97979585
Journal Theory of Probability and its Applications
Grishechkin, S., Devetsikiotis, M., Lambadaris, I, & Hobbs, C. (2003). Multistability in queues with retransmission and its relationship with large deviations in branching processes. Theory of Probability and its Applications, 47(1), 139–150. doi:10.1137/S0040585X97979585