Stability of the Max-Weight Protocol in Adversarial Wireless Networks

In this paper we consider the MAX-WEIGHT protocol for routing and scheduling in wireless networks under an adversarial model. This protocol has received a significant amount of attention dating back to the papers of Tassiulas and Ephremides. In particular, this protocol is known to be throughput-optimal whenever the traffic patterns and propagation conditions are governed by a stationary stochastic process. However, the standard proof of throughput optimality (which is based on the negative drift of a quadratic potential function) does not hold when the traffic patterns and the edge capacity changes over time are governed by an arbitrary adversarial process. Such an environment appears frequently in many practical wireless scenarios when the assumption that channel conditions are governed by a stationary stochastic process does not readily apply. In this paper we prove that even in the above adversarial setting, the MAX-WEIGHT protocol keeps the queues in the network stable (i.e. k...

• Type: Journal
• Year: 2012
• Where: CORR
• Authors: Sungsu Lim, Kyomin Jung, Matthew Andrews
• Keywords: Adversarial Model, Arbitrary Interference, CORR 2012, Education, Propagation Conditions