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SUMMARY:Insensitive\, maximum stable allocations converge to proportional 
 fairness - Neil Walton\, Statistical Laboratory\, University of Cambridge.
DTSTART:20100820T130000Z
DTEND:20100820T140000Z
UID:TALK25907@talks.cam.ac.uk
CONTACT:Neil Walton
DESCRIPTION:We describe a queueing model where service is allocated as a f
 unction\nof queue sizes. We consider allocations policies that are insensi
 tive to\nservice requirements and have a maximal stability region. We take
  a limit\nwhere the queueing model become congested. We study how service 
 is allocated\nunder this limit. We demonstrates that the only possible lim
 it allocation\nis one that maximizes a proportionally fair optimization pr
 oblem.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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