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.

Branching processes, Pseudostationarity, Queueing system
dx.doi.org/10.1137/S0040585X97979585
Theory of Probability and its Applications
Department of Systems and Computer Engineering

Grishechkin, S. (S.), Devetsikiotis, M. (M.), Lambadaris, I, & Hobbs, C. (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