Recently, it has been shown that CSMA-type algorithms can achieve the maximum possible throughput in wireless ad hoc networks. Central to these results is a distributed randomized algorithm which selects schedules according to a product-form distribution. The product-form distribution is achieved by considering a continuous-time Markov model of an idealized CSMA protocol (continuous backoff times, zero propagation/sensing delay, no hidden terminals) under which collisions cannot occur.
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Ni et al. (2009) studied this question.
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