Any Work-Conserving Policy Stabilizes the Ring with Spatial Reuse

We consider the ring network with spatial reuse. Tra c streams may enter and exit the network at any node. We adopt an arrival tra c model with deterministic constraints on its sample paths, which conforms to the output tra c of a leaky bucket rate control mechanism. A transmission policy speci es at each time which tra c stream will be transmitted at the outgoing link by each node. We provide an upper bound on the asymptotic backlog of the ring that holds for all work-conserving policies and is independent of the initial conditions. This bound remains nite as long as the maximum load of every link is less than one. The latter condition is also necessary for the existence of an asymptotic bound that is independent of the initial conditions.

• Type: Conference
• Year: 1994
• Where: INFOCOM
• Authors: Leandros Tassiulas, Leonidas Georgiadis
• Keywords: Arrival Tra, Communications, INFOCOM 1994, Initial Conditions, Output Tra