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Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
1TECNALIA, Basque Research and Technology Alliance (BRTA), 48160 Derio, Spain.
Abstract:
Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time.
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