Fast Jackson Networks with Dynamic Routing

@article{Suhov2002FastJN,
  title={Fast Jackson Networks with Dynamic Routing},
  author={Yuri M. Suhov and Nikita D. Vvedenskaya},
  journal={Probl. Inf. Transm.},
  year={2002},
  volume={38},
  pages={136-153}
}
A new class of models of queueing networks with load-balanced dynamic routing is considered. We propose a sufficient condition for positive recurrence of the arising Markov process and a limiting mean-field approximation where the process becomes deterministic and is described by a system of nonlinear ordinary differential equations.