Stability conditions for some random multiple-access protocols with spatial interactions

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• Seva Shneer, Heriot-Watt University
• Monday 07 March 2011, 14:30-15:30
• MR12, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

If you have a question about this talk, please contact Elena Yudovina.

We adopt the classical ALOHA scheme to the case when the transmissions in a multiple-access system create noise in a certain neighbourhood of the receiver. Two cases are considered: a discrete and a continuous setting. We prove that the fluid limits of the systems’ workload satisfy a certain differential equation and, via an analysis of this differential equation, obtain conditions sufficient for the system to be stable. We also discuss the behaviour of the fluid limits in the discrete case.

This talk is part of the Optimization and Incentives Seminar series.

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