Performance Analysis of Split Preamble RAN Overload Control Method for Massive Access of M2M Devices in LTE Networks

Machine-to-machine (M2M) communication is a crucial service for the next generation of cellular networks. Massive access request from machine devices can impose overloading problem for radio access networks (RANs) and degrade the service quality of M2M communication. In an earlier work we had investigated the performance of two possible RAN overload control methods on collision probability reduction of M2M communications. In this paper we present an analytical model on performance analysis of Disjoint Allocation (DA) and Joint Allocation (JA) methods for allocating physical random access channel (P-RACH) resources to M2M and human-to human (H2H) communications. We derive a stochastic k order Markov-chain (k-Mc) model for DA and JA methods. More importantly, we formulate and solve an optimization problem with the objective of minimizing the access success delay for M2M communication. Finally, we validate the proposed analytical model for JA and DA methods with the help of simulation results.