English

Queuing Networks with Varying Topology -- A Mean-Field Approach

Probability 2013-11-18 v1

Abstract

We consider the queuing networks, which are made from servers, exchanging their positions. The customers, using the network, try to reach their destinations, which is complicated by the movements of the servers, taking their customers with them, while they wait for the service. We develop the general theory of such networks, and we establish the convergence of the symmetrized version of the network to the Non-Linear Markov Process.

Keywords

Cite

@article{arxiv.1311.3898,
  title  = {Queuing Networks with Varying Topology -- A Mean-Field Approach},
  author = {François Baccelli and Alexandre Rybko and Senya Shlosman},
  journal= {arXiv preprint arXiv:1311.3898},
  year   = {2013}
}