Insensitive, maximum stable allocations converge to proportional fairness

Details Insensitive, maximum stable allocations converge to proportional fairness Insensitive, maximum stable allocations converge to proportional fairness

2010-07-19

arxiv.org/abs/1007.3115v1

Mathematics

Probability

9 pages

Scientific paper

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.

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