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Proportional Fair Coding for Wireless Mesh Networks

Premkumar, K. and Chen, Xiaomin and Leith, Douglas J. (2011) Proportional Fair Coding for Wireless Mesh Networks. Working Paper. Hamilton Institute. (Unpublished)

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Abstract

We consider multi–hop wireless networks carrying unicast flows for multiple users. Each flow has a specified delay deadline, and the lossy wireless links are modelled as binary symmetric channels (BSCs). Since transmission time, also called airtime, on the links is shared amongst flows, increasing the airtime for one flow comes at the cost of reducing the airtime available to other flows sharing the same link. We derive the joint allocation of flow airtimes and coding rates that achieves the proportionally fair throughput allocation. This utility optimisation problem is non–convex, and one of the technical contributions of this paper is to show that the proportional fair utility optimisation can nevertheless be decomposed into a sequence of convex optimisation problems. The solution to this sequence of convex problems is the unique solution to the original non–convex optimisation. Surprisingly, this solution can be written in an explicit form that yields considerable insight into the nature of the proportional fair joint airtime/coding rate allocation. To our knowledge, this is the first time that the utility fair joint allocation of airtime/coding rate has been analysed, and also, one of the first times that utility fairness with delay deadlines has been considered.

Item Type: Monograph (Working Paper)
Additional Information: Preprint of paper submitted to IEEE/ACM Transactions on Networking (December 2011). This work is supported by Science Foundation Ireland under Grant No. 07/IN.1/I901.
Keywords: Binary symmetric channels; code rate selection; cross–layer optimisation; optimal packet size; network utility; maximisation, resource allocation, scheduling
Subjects: Science & Engineering > Hamilton Institute
Item ID: 3631
Depositing User: Karumbu Premkumar
Date Deposited: 02 May 2012 15:32
Publisher: Hamilton Institute
URI:

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