@inproceedings{05d32b3c12a24a0b950ce399cbf9c0e2,

title = "Cost of proportional fairness in multiuser networks",

abstract = "Maintaining fairness in multiuser networks is viable at the expense of reducing the overall spectral efficiency in the network. This paper considers a general multiuser network and analyzes the disparity between the sum-rate capacity and the sum-rate achievable under the proportionally fair allocation of the resources among the users. The analysis demonstrates that the ratio of the fairness-constrained sum-rate to the sum-rate capacity in an n-user network scales with n at a rate larger than n-1/2. Moreover, a lower bound on this ratio is obtained that is valid for any arbitrary network topology and user connectivity.",

keywords = "Cost, fairness, multiuser, proportional",

author = "Ali Tajer and Poor, {H. Vincent}",

year = "2012",

month = dec,

day = "1",

doi = "10.1109/Allerton.2012.6483226",

language = "English (US)",

isbn = "9781467345385",

series = "2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012",

pages = "252--257",

booktitle = "2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012",

note = "2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012 ; Conference date: 01-10-2012 Through 05-10-2012",

}