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Border Effects, Fairness, and Phase Transition in Large Wireless Networks
Citation key DDT-BEFPTLWN-08
Author Durvy, Mathilde and Dousse, Olivier and Thiran, Patrick
Title of Book IEEE Conference on Computer Communications (INFOCOM '08)
Pages 601–609
Year 2008
ISBN 978-1-4244-2025-4
ISSN 0743-166X
DOI http://dx.doi.org/10.1109/INFOCOM.2008.109
Location Phoenix, AZ, USA
Month April
Abstract We characterize the fairness of decentralized medium access control protocols based on CSMA/CA, such as IEEE 802.11, in large multi-hop wireless networks. In particular, we show that the widely observed unfairness of the protocol in small network topologies does not always persist in large topologies. This unfairness is essentially due to the unfair advantage of nodes at the border of the network, which have a restricted neighborhood and thus a higher probability to access the communication channel. In large one-dimensional networks these border effects do not propagate inside the network, and nodes sufficiently far away from the border have equal access to the channel; as a result the protocol is long-term fair. In two-dimensional networks, we observe a phase transition. If the access intensity of the protocol is small, the border effects remain local and the protocol behaves similarly as in one-dimensional networks. However, if the access intensity of the protocol is large enough, the border effects persist independently of the size of the network and the protocol is strongly unfair. Finally, in situations where the protocol is long-term fair, we provide a characterization of its short-term fairness.
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