This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE SYSTEMS JOURNAL 1 Impact of Retransmission Limit on Preamble Contention in LTE-Advanced Network

Abstract—LTE-Advanced networks employ random access based on preambles transmitted according to multi-channel slot-ted Aloha principles. The random access is controlled through a limit W on the number of transmission attempts and a time-out period for uniform backoff after a collision. We model the LTE-Advanced random access system by formulating the equilib-rium condition for the ratio of the number of requests successful within the permitted number of transmission attempts to those successful in one attempt. We prove that for W ≤ 8 there is only one equilibrium operating point and for W ≥ 9 there are three operating points if the request load ρ is between load boundaries ρ1 and ρ2. We analytically identify these load boundaries as well as the corresponding system operating points. We analyze the throughput and delay of successful requests at the operating points and validate the analytical results through simulations. Index Terms—Equilibrium operating points, random access system, slotted Aloha, throughput-delay analysis. I