A. Bartoli, M. Dohler, J. Hernandez-serrano, A. A. Kountouris, and D. Barthel, Low-Power Low-Rate Goes Long-Range: The Case for Secure and Cooperative Machine-to-Machine Communications, Proc. IFIP WCNS, 2011.
DOI : 10.1007/978-3-642-23041-7_21

J. Metzner, On Improving Utilization in ALOHA Networks, IEEE Transactions on Communications, vol.24, issue.4, pp.447-448, 1976.
DOI : 10.1109/TCOM.1976.1093317

C. Namislo, Analysis of mobile radio slotted ALOHA networks, IEEE Transactions on Vehicular Technology, vol.33, issue.3, pp.199-204, 1984.
DOI : 10.1109/T-VT.1984.24006

M. Z. Shafiq, L. Ji, A. X. Liu, J. Pang, and J. Wang, Large-Scale Measurement and Characterization of Cellular Machine-to-Machine Traffic, IEEE/ACM Transactions on Networking, vol.21, issue.6, pp.1960-1973, 2013.
DOI : 10.1109/TNET.2013.2256431

. Vodafone, RACH Intensity of Time Controlled Devices, 3GPP TSG- RAN, vol.2, pp.2-102296, 2010.

3. Tr, Study on RAN Improvements for Machine-type Communications, 2011.

S. Ancona, R. Stanica, and M. Fiore, Performance boundaries of massive Floating Car Data offloading, 2014 11th Annual Conference on Wireless On-demand Network Systems and Services (WONS), 2014.
DOI : 10.1109/WONS.2014.6814727

URL : https://hal.archives-ouvertes.fr/hal-01005015

D. Kim, W. Kim, and S. An, Adaptive random access preamble split in LTE, 2013 9th International Wireless Communications and Mobile Computing Conference (IWCMC), 2013.
DOI : 10.1109/IWCMC.2013.6583662

G. Piro, L. A. Grieco, G. Boggia, F. Capozzi, and P. Camarda, Simulating LTE Cellular Systems: An Open-Source Framework, IEEE Transactions on Vehicular Technology, vol.60, issue.2, pp.498-513, 2011.
DOI : 10.1109/TVT.2010.2091660

T. D. Novlan, H. S. Dhillon, and J. G. Andrews, Analytical Modeling of Uplink Cellular Networks, IEEE Transactions on Wireless Communications, vol.12, issue.6, pp.2669-2679, 2013.
DOI : 10.1109/TWC.2013.050613.120325

. Ericsson, LTE Random-Access Capacity and Collision Probability, 3GPP TSG-RAN WG1, pp.1-061369, 2006.

R. Cheng, C. Wei, S. Tsao, and F. Ren, RACH Collision Probability for Machine-Type Communications, 2012 IEEE 75th Vehicular Technology Conference (VTC Spring), 2012.
DOI : 10.1109/VETECS.2012.6240129

J. J. Nielsen, D. Kim, G. Corrales-madueno, N. K. Pratas, and P. Popovski, A Tractable Model of the LTE Access Reservation Procedure for Machine-Type Communications, 2015.

A. Laya, L. Alonso, and J. Alonso-zarate, Is the Random Access Channel of LTE and LTE-A Suitable for M2M Communications? A Survey of Alternatives, IEEE Communications Surveys & Tutorials, vol.16, issue.1, pp.4-16, 2014.
DOI : 10.1109/SURV.2013.111313.00244