Authors
Guy Fayolle, Jean-Marc Lasgouttes
Publication date
2012/7/13
Journal
arXiv preprint arXiv:1207.3237
Description
The asymptotic behaviour of a closed BCMP network, with queues and clients, is analyzed when and become simultaneously large. Our method relies on Berry-Esseen type approximations coming in the Central Limit Theorem. We construct critical sequences , which are necessary and sufficient to distinguish between saturated and non-saturated regimes for the network. Several applications of these results are presented. It is shown that some queues can act as bottlenecks, limiting thus the global efficiency of the system.
Total citations
199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202220232024132132121321111