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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 for message 1 and message 2. This is done using a Markov chain model for the four messages signaling flow with buffering for message 4. This model is used in LTE 3GPP (Third-Generation Partnership Project) random access. The network performance will be enhanced by determining a dedicated arrival rate corresponding to maximum throughput of message 2 that will assist the network planner to optimize the network performance. In this paper, a deduced arrival rate less than 3.333 requests/ms will maximize network throughput.

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MTC (machine type communication), M2M, LTE network, random access procedure.

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