TY - GEN
T1 - A global stability result in utility-based congestion control
AU - Imer, Orhan C.
AU - Başar, Tamer
PY - 2005
Y1 - 2005
N2 - In this paper, we introduce a new utility-based congestion control algorithm, M-REM (modified-REM), and show its convergence. The algorithm is a slight modification of the so-called REM (random exponential marking) gradient projection algorithm, in which all buffers in the network are cleared when equilibrium source rates are reached. By defining the "price" of a particular link as a weighted sum of the Lagrange multiplier and buffer length associated with that link, we show that M-REM is globally asymptotically stable, while preserving the decentralized nature of REM.
AB - In this paper, we introduce a new utility-based congestion control algorithm, M-REM (modified-REM), and show its convergence. The algorithm is a slight modification of the so-called REM (random exponential marking) gradient projection algorithm, in which all buffers in the network are cleared when equilibrium source rates are reached. By defining the "price" of a particular link as a weighted sum of the Lagrange multiplier and buffer length associated with that link, we show that M-REM is globally asymptotically stable, while preserving the decentralized nature of REM.
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U2 - 10.1109/CDC.2005.1583245
DO - 10.1109/CDC.2005.1583245
M3 - Conference contribution
AN - SCOPUS:33847199308
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 6740
EP - 6743
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -