Providing the evolution from current wireless systems to fifth generation (5G) network is to support massive Machine-to-Machine (M2M) wireless communications in radio access network. Performance analysis of the random access channel (RACH) is a top issue within the M2M-connection in LTE networks, because prior the data transmitting, the session initiation procedure, which perform the connection initiation for user equipment, could overload the channel dealing with burst arrival of connection requests. The purpose of this paper is to continue the analysis of RACH initiation procedure using discrete Markov chain model, and to investigate the dependence of average delay time from preamble processing time. The simulation model is obtained, which allows for estimating the influence of preamble collision on the success access connection initiation in radio access network. Copyright © 2018 for the individual papers by the papers' authors.