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This letter introduces an analytical model aiming at modeling the performance of the Random Access CHannel (RACH) procedure, with a special focus on the case of highly synchronized machine type communication (MTC) traffic activated according to beta distribution. The accuracy of the proposed model is then verified through computer simulation. Obtained results demonstrate the effectiveness of the model to capture the RACH procedure behavior when MTC devices are activated in a highly synchronized way. Note that 1) the proposed model is not dedicated only to beta distribution, but other distributions could be used and 2) this model could be used with any congestion control method managing the number of new arrivals, such as access class barring (ACB).
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Arouk et al. (2015) studied this question.
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