Convergence and tradeoff of utility-optimal CSMA

J Liu, Y Yi, A Proutiere, M Chiang… - 2009 Sixth International …, 2009 - ieeexplore.ieee.org
2009 Sixth International Conference on Broadband Communications …, 2009ieeexplore.ieee.org
It has been recently suggested by Jiang and Walrand that adaptive carrier sense multiple
access (CSMA) can achieve optimal utility without any message passing in wireless
networks. In this paper, a generalization of this algorithm is considered. In the continuous-
time model, a proof is presented of the convergence of these adaptive CSMA algorithms to
arbitrarily close to utility optimality, without assuming that the network dynamics freeze while
the CSMA parameters are updated. In the more realistic, slotted-time model, the impact of …
It has been recently suggested by Jiang and Walrand that adaptive carrier sense multiple access (CSMA) can achieve optimal utility without any message passing in wireless networks. In this paper, a generalization of this algorithm is considered. In the continuous-time model, a proof is presented of the convergence of these adaptive CSMA algorithms to arbitrarily close to utility optimality, without assuming that the network dynamics freeze while the CSMA parameters are updated. In the more realistic, slotted-time model, the impact of collisions on the utility achieved is characterized, and the tradeoff between optimality at equilibrium and short-term fairness is quantified.
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