Throughput Modeling of Single Hop CSMA Networks with Non-Negligible Propagation Delay

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Koseoglu M., Karasan E.

IEEE TRANSACTIONS ON COMMUNICATIONS, vol.61, no.7, pp.2911-2923, 2013 (SCI-Expanded) identifier identifier


We analyze the performance of the CSMA protocol under propagation delays that are comparable with packet transmission times. We propose a semi-Markov model for the 2-node CSMA channel. For the 2-node case, the capacity reduces to 40% of the zero-delay capacity when the one-way propagation delay is 10% of the packet transmission time. We then extend this model and obtain the optimum symmetric probing rate that achieves the maximum network throughput as a function of the average propagation delay, (d) over bar, and the number of nodes sharing the channel, N. The proposed model predicts that the total capacity decreases with (d) over bar (-1) as N goes to infinity when all nodes probe the channel at the optimum rate. The optimum probing rate for each node decreases with 1/N and the total optimum probing rate decreases faster than (d) over bar (-1) as N goes to infinity. We investigate how the short-term unfairness problem in CSMA worsens as the propagation delay increases and propose a back-off mechanism to mitigate this issue. The theoretical results presented in this paper can be used as a benchmark for the performance improvements provided by algorithms that have already been developed.