Insensitive, maximum stable allocations converge to proportional fairness
- ๐ค Speaker: Neil Walton (University of Cambridge, Statistical Laboratory.)
- ๐ Date & Time: Monday 01 November 2010, 14:30 - 15:30
- ๐ Venue: MR12, Centre for Mathematical Sciences, Wilberforce Road, Cambridge
Abstract
We describe a queueing model where service is allocated as a function of queue sizes. We consider allocations policies that are insensitive to service requirements and have a maximal stability region. We take a limit where the queueing model become congested. We study how service is allocated under this limit. We demonstrates that the only possible limit allocation is one that maximizes a proportionally fair optimization problem.
Series This talk is part of the Optimization and Incentives Seminar series.
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Monday 01 November 2010, 14:30-15:30