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A fundamental requirement for any cellular system is the possibility for the device to request a connection setup, commonly referred to as random access procedure. In LTE (long term evolution) networks, the distribution of a limited number of radio resources among H2H (Human-to-Human) users and increasing number of MTC (Machine-Type-Communication) devices in M2M (Machine-to-Machine) communications is one of the main problems. An analytical model is conducted to compute the throughput fordoi:10.17265/2328-2223/2018.01.006 fatcat:pwha7x2iybcifntqkgskrc37eq