Principles of Robust Medium Access and an Application to Leader Election

Author:

Awerbuch Baruch1,Richa Andrea2,Scheideler Christian3,Schmid Stefan4,Zhang Jin2

Affiliation:

1. The Johns Hopkins University, Baltimore, MD

2. Arizona State University, Tempe, AZ

3. University of Paderborn, Paderborn Germany

4. Telekom Innovation Laboratories (T-Labs) & TU, Berlin, Germany

Abstract

This article studies the design of medium access control (MAC) protocols for wireless networks that are provably robust against arbitrary and unpredictable disruptions (e.g., due to unintentional external interference from co-existing networks or due to jamming). We consider a wireless network consisting of a set of n honest and reliable nodes within transmission (and interference) range of each other, and we model the external disruptions with a powerful adaptive adversary. This adversary may know the protocol and its entire history and can use this knowledge to jam the wireless channel at will at any time. It is allowed to jam a (1-ϵ)-fraction of the timesteps, for an arbitrary constant ϵ > 0 unknown to the nodes. The nodes cannot distinguish between the adversarial jamming or a collision of two or more messages that are sent at the same time. We demonstrate, for the first time, that there is a local-control MAC protocol requiring only very limited knowledge about the adversary and the network that achieves a constant (asymptotically optimal) throughput for the nonjammed time periods under any of the aforementioned adversarial strategies. The derived principles are also useful to build robust applications on top of the MAC layer, and we present an exemplary study for leader election, one of the most fundamental tasks in distributed computing.

Funder

Division of Computing and Communication Foundations

Deutsche Forschungsgemeinschaft

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

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