TY - GEN
T1 - Measuring fairness
T2 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
AU - Lan, Tian
AU - Chiang, Mung
PY - 2011
Y1 - 2011
N2 - We present a set of five axioms for fairness measures and prove that there is a unique family of fairness measures satisfying the axioms. This unique family is constructed in closed form and shown to include both symmetric and asymmetric ones as special cases. The results are further extended to quantify fairness of continuous dimension inputs, where resource allocations vary over time. We demonstrate the applications of the axiomatic theory in congestion control, routing, and spectrum management problems.
AB - We present a set of five axioms for fairness measures and prove that there is a unique family of fairness measures satisfying the axioms. This unique family is constructed in closed form and shown to include both symmetric and asymmetric ones as special cases. The results are further extended to quantify fairness of continuous dimension inputs, where resource allocations vary over time. We demonstrate the applications of the axiomatic theory in congestion control, routing, and spectrum management problems.
UR - http://www.scopus.com/inward/record.url?scp=84856078241&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84856078241&partnerID=8YFLogxK
U2 - 10.1109/Allerton.2011.6120163
DO - 10.1109/Allerton.2011.6120163
M3 - Conference contribution
AN - SCOPUS:84856078241
SN - 9781457718168
T3 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
SP - 156
EP - 163
BT - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Y2 - 28 September 2011 through 30 September 2011
ER -