Q. Song, X. Lagrange, and L. Nuaymi, Evaluation of Macro Diversity Gain in Long Range ALOHA Networks, IEEE Communications Letters, vol.21, issue.11, 2017.
DOI : 10.1109/LCOMM.2017.2732984

URL : https://hal.archives-ouvertes.fr/hal-01656227

Q. Song, X. Lagrange, and L. Nuaymi, An analytical model for S-ALOHA performance evaluation in M2M networks, 2017 IEEE International Conference on Communications (ICC), pp.1-7, 2017.
DOI : 10.1109/ICC.2017.7996933

URL : https://hal.archives-ouvertes.fr/hal-01656085

Q. Song, L. Nuaymi, and X. Lagrange, Survey of radio resource management issues and proposals for energy-efficient cellular networks that will cover billions of machines, EURASIP Journal on Wireless Communications and Networking, vol.9, issue.1, pp.1-20, 2016.
DOI : 10.1002/9781119974031

URL : https://hal.archives-ouvertes.fr/hal-01342826

Q. Song, L. Nuaymi, and X. Lagrange, Evaluation of multiple access strategies with power control error and variable packet length in M2M, Wireless Communications and Networking Conference Workshops (WCNCW), 2016 IEEE, pp.379-384, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01611660

Q. Song, X. Lagrange, and L. Nuaymi, An efficient M2M-oriented networkintegrated multiple-period polling service in LTE network, IEEE 82nd Vehicular Technology Conference, VTC Fall 2015, pp.1-6, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01292734

. Cisco, Cisco visual networking index: Global mobile data traffic forecast update, pp.2016-2021, 2017.

N. Sornin, M. Luis, T. Eirich, and T. Kramp, LoRaWAN specification, 2015.

Y. Chen and Y. Yang, Cellular based machine to machine communication with un- peer2peer protocol stacks., " in VTC Fall, 2009.

F. Ghavimi and H. Chen, M2M Communications in 3GPP LTE/LTE-A Networks: Architectures, Service Requirements, Challenges, and Applications, IEEE Communications Surveys & Tutorials, vol.17, issue.2, pp.525-549, 2015.
DOI : 10.1109/COMST.2014.2361626

Y. Mehmood, C. Görg, M. Muehleisen, and A. Timm, Mobile M2M communication architectures, upcoming challenges, applications, and future directions, EURASIP Journal on Wireless Communications and Networking, vol.14, issue.2, p.250, 2015.
DOI : 10.1109/BlackSeaCom.2013.6623390

URL : http://doi.org/10.1186/s13638-015-0479-y

B. Moyer, Low power, wide area: A survey of longer-range IoT wireless protocols, " 2015. [Online; accessed 13, 2015.

. Ericsson, More than 50 billion connected devices, 2011.

M. Shafiq, L. Ji, and A. L. , A first look at cellular machine-to-machine traffic: Large scale measurement and characterization, SIGMETRICS Perform. Eval. Rev, 2012.

R. Ratasuk, N. Mangalvedhe, A. Ghosh, and B. Vejlgaard, Narrowband LTE-M System for M2M Communication, 2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall), pp.2014-80, 2014.
DOI : 10.1109/VTCFall.2014.6966070

S. Farrell, LPWAN Overview Internet-Draft draft-ietf-lpwan-overview-03, Progress, 2017.

Y. Chen and W. Wang, Machine-to-machine communication in LTE-A., " in VTC Fall, pp.1-4, 2010.

H. Tullberg and P. Popovski, METIS system concept: The shape of 5G to come, IEEE Communications Magazine, 2015.

K. Zheng, F. Hu, and W. W. , Radio resource allocation in LTE-advanced cellular networks with M2M communications, IEEE Communications Magazine, vol.50, issue.7, pp.184-192, 2012.
DOI : 10.1109/MCOM.2012.6231296

J. N. Karaki and A. E. Kamal, Routing techniques in wireless sensor networks: a survey, IEEE Wireless Communications, vol.11, issue.6, pp.6-28, 2004.
DOI : 10.1109/MWC.2004.1368893

J. Costa and G. Miao, Context-aware Machine-to-Machine communications, 2014 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), 2014.
DOI : 10.1109/INFCOMW.2014.6849321

L. M. Borges, F. J. Velez, and A. S. Lebres, Survey on the Characterization and Classification of Wireless Sensor Network Applications, IEEE Communications Surveys & Tutorials, vol.16, issue.4, pp.1860-1890, 2014.
DOI : 10.1109/COMST.2014.2320073

R. Ratasuk, J. Tan, and A. Ghosh, Coverage and Capacity Analysis for Machine Type Communications in LTE, 2012 IEEE 75th Vehicular Technology Conference (VTC Spring), pp.2012-75, 2012.
DOI : 10.1109/VETECS.2012.6240186

R. Ratasuk, A. Prasad, Z. Li, A. Ghosh, and M. Uusitalo, Recent advancements in M2M communications in 4G networks and evolution towards 5G, 2015 18th International Conference on Intelligence in Next Generation Networks, pp.52-57, 2015.
DOI : 10.1109/ICIN.2015.7073806

S. Lien, K. Chen, and Y. Lin, Toward ubiquitous massive accesses in 3GPP machineto-machine communications, IEEE Communications Magazine, 2011.

D. Boswarthick, O. Hersent, and O. Elloumi, M2M communications : a system's approach, 2012.
DOI : 10.1002/9781119974031

J. Chou, Machine-to-machine (M2M) communications using short message services (SMS), p.869333

L. Andres, A. Luis, and A. Jesus, Is the random access channel of LTE and LTE-A suitable for M2M communications? a survey of alternatives, IEEE Communications Surveys and Tutorials, pp.4-16, 2014.

A. Bartoli, M. Dohler, J. Hernández-serrano, A. Kountouris, and D. Barthel, Lowpower low-rate goes long-range: the case for secure and cooperative machineto-machine communications, NETWORKING 2011 Workshops, pp.219-230, 2011.

A. Gotsis, A. Lioumpas, and A. Alexiou, Evolution of packet scheduling for Machine-Type communications over LTE: Algorithmic design and performance analysis, 2012 IEEE Globecom Workshops, 2012.
DOI : 10.1109/GLOCOMW.2012.6477828

. Nokia, LTE-M ? optimizing LTE for the internet of things, 2015.

R. Y. Kim, Snoop based group communication scheme in cellular machine-tomachine communications, Information and Communication Technology Convergence (ICTC), 2010 International Conference on, pp.380-381, 2010.

C. Tu, C. Ho, and C. Huang, Energy-Efficient Algorithms and Evaluations for Massive Access Management in Cellular Based Machine to Machine Communications, 2011 IEEE Vehicular Technology Conference (VTC Fall), pp.1-5, 2011.
DOI : 10.1109/VETECF.2011.6092977

C. Ho and C. Huang, Energy-Saving Massive Access Control and Resource Allocation Schemes for M2M Communications in OFDMA Cellular Networks, IEEE Wireless Communications Letters, vol.1, issue.3, pp.209-212, 2012.
DOI : 10.1109/WCL.2012.031912.110278

A. Azari and G. Miao, Energy efficient MAC for cellular-based M2M communications, 2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP), pp.128-132, 2014.
DOI : 10.1109/GlobalSIP.2014.7032092

C. Pereira and A. Aguiar, Towards Efficient Mobile M2M Communications: Survey and Open Challenges, Sensors, vol.4717, issue.10, pp.19582-19608, 2014.
DOI : 10.1007/978-3-540-74853-3_13

URL : http://www.mdpi.com/1424-8220/14/10/19582/pdf

M. Gupta, S. Jha, A. Koc, and R. Vannithamby, Energy impact of emerging mobile internet applications on LTE networks: issues and solutions, IEEE Communications Magazine, vol.51, issue.2, pp.90-97, 2013.
DOI : 10.1109/MCOM.2013.6461191

T. Tirronen, A. Larmo, J. Sachs, B. Lindoff, and N. Wiberg, Reducing energy consumption of LTE devices for machine-to-machine communication, 2012 IEEE Globecom Workshops, pp.1650-1656, 2012.
DOI : 10.1109/GLOCOMW.2012.6477833

S. Jha and A. Koc, Power Saving mechanisms for M2M communication over LTE networks, 2013 First International Black Sea Conference on Communications and Networking (BlackSeaCom), 2013.
DOI : 10.1109/BlackSeaCom.2013.6623390

H. Chao, Y. Chen, and J. Wu, Power saving for Machine to Machine communications in cellular networks, 2011 IEEE GLOBECOM Workshops (GC Wkshps), 2011.
DOI : 10.1109/GLOCOMW.2011.6162477

S. Jha, A. Koc, and R. Vannithamby, Device power saving mechanisms for low cost MTC over LTE networks, 2014 IEEE International Conference on Communications Workshops (ICC), 2014.
DOI : 10.1109/ICCW.2014.6881233

A. Aijaz and A. Aghvami, On Radio Resource Allocation in LTE Networks with Machine-to-Machine Communications, 2013 IEEE 77th Vehicular Technology Conference (VTC Spring), 2013.
DOI : 10.1109/VTCSpring.2013.6692664

A. Aijaz, M. Tshangini, and M. Nakhai, Energy-Efficient Uplink Resource Allocation in LTE Networks With M2M/H2H Co-Existence Under Statistical QoS Guarantees, IEEE Transactions on Communications, vol.62, issue.7, 2014.
DOI : 10.1109/TCOMM.2014.2328338

Y. Zhang, Tree-Based Resource Allocation for Periodic Cellular M2M Communications, IEEE Wireless Communications Letters, vol.3, issue.6, 2014.
DOI : 10.1109/LWC.2014.2366769

G. Madueno, C. Stefanovic, and P. Popovski, Reliable reporting for massive M2M communications with periodic resource pooling, Wireless Communications Letters, 2014.

S. Lien and K. Chen, Massive Access Management for QoS Guarantees in 3GPP Machine-to-Machine Communications, IEEE Communications Letters, vol.15, issue.3, 2011.
DOI : 10.1109/LCOMM.2011.011811.101798

K. Ko and M. Kim, A novel random access for fixed-location machine-tomachine communications in OFDMA based systems, IEEE Communications Letters, issue.9, pp.1428-1431, 2012.

X. M. Zhang, Y. Zhang, F. Yan, and A. V. Vasilakos, Interference-Based Topology Control Algorithm for Delay-Constrained Mobile Ad Hoc Networks, IEEE Transactions on Mobile Computing, vol.14, issue.4, pp.742-754, 2015.
DOI : 10.1109/TMC.2014.2331966

Y. Niu, Y. Li, D. Jin, L. Su, and A. V. Vasilakos, A survey of millimeter wave communications (mmWave) for 5G: opportunities and challenges, Wireless Networks, vol.49, issue.6, pp.2657-2676, 2015.
DOI : 10.1145/2342441.2342464

Y. Niu, C. Gao, Y. Li, L. Su, D. Jin et al., Exploiting Device-to-Device Communications in Joint Scheduling of Access and Backhaul for mmWave Small Cells, IEEE Journal on Selected Areas in Communications, vol.33, issue.10, pp.2052-2069, 2015.
DOI : 10.1109/JSAC.2015.2435273

S. Plass, M. Berioli, and R. Hermenier, Concept for an M2M communications infrastructure via airliners, Future Network & Mobile Summit (FutureNetw), 2012, pp.1-8, 2012.

A. G. Gotsis, N. T. Koutsokeras, and P. Constantinou, Radio Resource Allocation and Packet Scheduling Strategies for Single-Cell OFDMA Packet Networks, 2007 IEEE 66th Vehicular Technology Conference, pp.1847-1851, 2007.
DOI : 10.1109/VETECF.2007.389

D. López-pérez, X. Chu, A. V. Vasilakos, and H. Claussen, On Distributed and Coordinated Resource Allocation for Interference Mitigation in Self-Organizing LTE Networks, IEEE/ACM Transactions on Networking, vol.21, issue.4, pp.1145-1158, 2013.
DOI : 10.1109/TNET.2012.2218124

M. Ding, D. Lopez-perez, R. Xue, A. V. Vasilakos, and W. Chen, Small cell dynamic TDD transmissions in heterogeneous networks, 2014 IEEE International Conference on Communications (ICC), pp.4881-4887, 2014.
DOI : 10.1109/ICC.2014.6884093

A. S. Lioumpas and A. Alexiou, Uplink scheduling for Machine-to-Machine communications in LTE-based cellular systems, 2011 IEEE GLOBECOM Workshops (GC Wkshps), pp.353-357, 2011.
DOI : 10.1109/GLOCOMW.2011.6162470

D. T. Wiriaatmadja and K. W. Choi, Hybrid Random Access and Data Transmission Protocol for Machine-to-Machine Communications in Cellular Networks, IEEE Transactions on Wireless Communications, vol.14, issue.1, pp.33-46, 2015.
DOI : 10.1109/TWC.2014.2328491

B. Yang, G. Zhu, W. Wu, and Y. Gao, M2M access performance in LTE-A system, Transactions on Emerging Telecommunications Technologies, vol.4, issue.4, pp.3-10, 2014.
DOI : 10.1109/TASE.2007.906348

M. Hasan, E. Hossain, and D. Niyato, Random access for machine-to-machine communication in LTE-advanced networks: issues and approaches, IEEE Communications Magazine, vol.51, issue.6, pp.86-93, 2013.
DOI : 10.1109/MCOM.2013.6525600

W. Xu and G. Campbell, A near perfect stable random access protocol for a broadcast channel, [Conference Record] SUPERCOMM/ICC '92 Discovering a New World of Communications, 1992.
DOI : 10.1109/ICC.1992.268230

H. S. Dhillon and H. C. Huang, Power-Efficient System Design for Cellular-Based Machine-to-Machine Communications, IEEE Transactions on Wireless Communications, vol.12, issue.11, 2013.
DOI : 10.1109/TWC.2013.100713.130025

C. S. Bontu, S. Periyalwar, and M. Pecen, Wireless Wide-Area Networks for Internet of Things: An Air Interface Protocol for IoT and a Simultaneous Access Channel for Uplink IoT Communication, IEEE Vehicular Technology Magazine, vol.9, issue.1, pp.54-63, 2014.
DOI : 10.1109/MVT.2013.2295068

M. Khoshkholgh, Y. Zhang, K. Shin, V. Leung, and S. Gjessing, Modeling and characterization of transmission energy consumption in Machine-to-Machine networks, 2015 IEEE Wireless Communications and Networking Conference (WCNC), pp.2073-2078, 2015.
DOI : 10.1109/WCNC.2015.7127787

C. Goursaud and J. Gorce, Dedicated networks for IoT: PHY / MAC state of the art and challenges, EAI endorsed transactions on Internet of Things, 2015.
DOI : 10.4108/eai.26-10-2015.150597

URL : https://hal.archives-ouvertes.fr/hal-01231221

R. O. Lamaire, A. Krishna, and M. Zorzi, On the randomization of transmitter power levels to increase throughput in multiple access radio systems, Wireless Networks, vol.4, issue.3, pp.263-277, 1998.
DOI : 10.1023/A:1019164308540

E. Altman, D. Barman, A. Benslimane, and R. Azouzi, Slotted Aloha with Priorities and Random Power, NETWORKING 2005. Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communications Systems, pp.610-622, 2005.
DOI : 10.1007/11422778_49

URL : http://www-sop.inria.fr/mistral/personnel/Eitan.Altman/PAPERS/infocomAloha.pdf

X. Yang, A. O. Fapojuwo, and E. E. Egbogah, Performance Analysis and Parameter Optimization of Random Access Backoff Algorithm in LTE, 2012 IEEE Vehicular Technology Conference (VTC Fall), pp.1-5, 2012.
DOI : 10.1109/VTCFall.2012.6399192

J. J. Nielsen, D. M. Kim, G. C. Madueno, N. K. Pratas, and P. Popovski, A tractable model of the LTE access reservation procedure for machine-type communications, 2015 IEEE Global Communications Conference (GLOBECOM), pp.1-6, 2015.

G. Bianchi, Performance analysis of the IEEE 802.11 distributed coordination function, IEEE Journal on Selected Areas in Communications, vol.18, issue.3, pp.535-547, 2000.
DOI : 10.1109/49.840210

S. Zozor, Z. Li, Q. Lampin, and J. Brossier, Time-frequency ALOHA-like random access: A scalability study of low-power wide-area networks for IoT using stochastic geometry, 2016.

C. Goursaud and Y. Mo, Random unslotted time-frequency ALOHA: Theory and application to IoT UNB networks, 2016 23rd International Conference on Telecommunications (ICT), pp.1-5, 2016.
DOI : 10.1109/ICT.2016.7500489

URL : https://hal.archives-ouvertes.fr/hal-01389362

M. E. Bayrakdar, S. Atmaca, and A. Karahan, A slotted ALOHA-based cognitive radio network under capture effect in Rayleigh fading channels, TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES, vol.24, issue.3, pp.1955-1966, 2016.
DOI : 10.3906/elk-1312-213

D. Dardari, V. Tralli, and R. Verdone, On the capacity of slotted Aloha with Rayleigh fading: the role played by the number of interferers, IEEE Communications Letters, vol.4, issue.5, pp.155-157, 2000.
DOI : 10.1109/4234.846496

S. M. Ross, Introduction to probability models. Academic press, 2014.

A. H. Nuttall, Numerical evaluation of cumulative probability distribution functions directly from characteristic functions, tech. rep., DTIC Document, 1969.

W. C. Lee, Mobile Communications Design Fundamentals, 1992.
DOI : 10.1002/9780470930427

S. Asmussen, J. L. Jensen, and L. Rojas-nandayapa, On the Laplace Transform of the Lognormal Distribution, Methodology and Computing in Applied Probability, vol.58, issue.5, pp.441-458, 2016.
DOI : 10.1109/TCOMM.2010.05.080640

R. M. Corless, G. H. Gonnet, D. E. Hare, D. J. Jeffrey, and D. E. Knuth, On the LambertW function, Advances in Computational mathematics, pp.329-359, 1996.
DOI : 10.5186/aasfm.1983.0805

J. Gil-pelaez, Note on the inversion theorem, Biometrika, vol.38, issue.3-4, pp.481-482, 1951.
DOI : 10.1093/biomet/38.3-4.481

A. Hirsa, Computational methods in finance, 2012.

O. Georgiou and U. Raza, Low Power Wide Area Network Analysis: Can LoRa Scale?, IEEE Wireless Communications Letters, vol.6, issue.2, pp.162-165, 2017.
DOI : 10.1109/LWC.2016.2647247

URL : http://arxiv.org/pdf/1610.04793

M. Haenggi, Stochastic geometry for wireless networks, 2012.
DOI : 10.1017/CBO9781139043816

D. J. Daley, D. Vere, and -. , An introduction to the theory of point processes: volume II: general theory and structure, 2007.

B. François and B. Bart?omiej, Stochastic geometry and wireless networks. volume i. theory, 2009.

F. Baccelli and B. B?aszczyszyn, Stochastic Geometry and Wireless Networks: Volume II Applications, Foundations and Trends?? in Networking, vol.4, issue.1-2, pp.1-312, 2010.
DOI : 10.1561/1300000026

URL : https://hal.archives-ouvertes.fr/inria-00403040

H. Elsawy, E. Hossain, and M. Haenggi, Stochastic Geometry for Modeling, Analysis, and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey, IEEE Communications Surveys & Tutorials, vol.15, issue.3, pp.996-1019, 2013.
DOI : 10.1109/SURV.2013.052213.00000

M. Haenggi, J. G. Andrews, F. Baccelli, O. Dousse, and M. Franceschetti, Stochastic geometry and random graphs for the analysis and design of wireless networks, IEEE Journal on Selected Areas in Communications, vol.27, issue.7, 2009.
DOI : 10.1109/JSAC.2009.090902

S. N. Chiu, D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic geometry and its applications, 2013.
DOI : 10.1002/9781118658222

F. Baccelli, M. Klein, M. Lebourges, and S. Zuyev, Géométrie aléatoire et architecture de réseaux, Annals of Telecommunications, vol.51, issue.3, pp.158-179, 1996.

F. Baccelli, M. Klein, M. Lebourges, and S. Zuyev, Stochastic geometry and architecture of communication networks, Telecommunication Systems, vol.7, issue.1/3, pp.209-227, 1997.
DOI : 10.1023/A:1019172312328

F. Baccelli, B. Blaszczyszyn, and P. Muhlethaler, An Aloha protocol for multihop mobile wireless networks, IEEE Transactions on Information Theory, vol.52, issue.2, pp.421-436, 2006.
DOI : 10.1109/TIT.2005.862098

URL : http://www.di.ens.fr/~baccelli/Evaluation/BBM_ieee_published.pdf

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

M. Gharbieh, H. Elsawy, A. Bader, and M. Alouini, Tractable Stochastic Geometry Model for IoT Access in LTE Networks, 2016 IEEE Global Communications Conference (GLOBECOM), pp.1-7, 2016.
DOI : 10.1109/GLOCOM.2016.7842349

M. Haenggi and R. K. Ganti, Interference in Large Wireless Networks, Foundations and Trends in Networking, vol.3, issue.2, 2009.
DOI : 10.1561/1300000015

B. B?aszczyszyn and P. Mühlethaler, Stochastic Analysis of Non-Slotted Aloha in Wireless Ad-Hoc Networks, 2010 Proceedings IEEE INFOCOM, pp.1-9, 2010.
DOI : 10.1109/INFCOM.2010.5462086

R. K. Ganti and M. Haenggi, Spatial and temporal correlation of the interference in ALOHA ad hoc networks, IEEE Communications Letters, vol.13, issue.9, 2009.
DOI : 10.1109/LCOMM.2009.090837

T. T. Vu, Spatial models for cellular network planning, 2012.
URL : https://hal.archives-ouvertes.fr/tel-01081064

T. Vu, L. Decreusefond, and P. Martins, An Analytical Model for Evaluating Outage and Handover Probability of Cellular Wireless Networks, Wireless Personal Communications, vol.54, issue.4, pp.1117-1127, 2014.
DOI : 10.1109/ATNAC.2008.4783314

URL : https://hal.archives-ouvertes.fr/hal-00514212

J. G. Andrews, A. K. Gupta, and H. S. Dhillon, A primer on cellular network analysis using stochastic geometry, 2016.

Y. E. Wang, X. Lin, A. Adhikary, A. Grovlen, Y. Sui et al., A Primer on 3GPP Narrowband Internet of Things, IEEE Communications Magazine, vol.55, issue.3, pp.117-123, 2017.
DOI : 10.1109/MCOM.2017.1600510CM

U. Raza, P. Kulkarni, and M. Sooriyabandara, Low Power Wide Area Networks: An Overview, IEEE Communications Surveys & Tutorials, vol.19, issue.2, pp.855-873, 2017.
DOI : 10.1109/COMST.2017.2652320

URL : http://arxiv.org/pdf/1606.07360

H. S. Dhillon and J. G. Andrews, Downlink Rate Distribution in Heterogeneous Cellular Networks under Generalized Cell Selection, IEEE Wireless Communications Letters, vol.3, issue.1, pp.42-45, 2014.
DOI : 10.1109/WCL.2013.110713.130709

P. Madhusudhanan, J. G. Restrepo, Y. Liu, T. X. Brown, and K. R. Baker, Downlink Performance Analysis for a Generalized Shotgun Cellular System, IEEE Transactions on Wireless Communications, vol.13, issue.12, pp.6684-6696, 2014.
DOI : 10.1109/TWC.2014.2362516

J. G. Andrews, F. Baccelli, and R. K. Ganti, A Tractable Approach to Coverage and Rate in Cellular Networks, IEEE Transactions on Communications, vol.59, issue.11, pp.3122-3134, 2011.
DOI : 10.1109/TCOMM.2011.100411.100541

URL : https://hal.archives-ouvertes.fr/hal-00940544

B. B?aszczyszyn and P. Mühlethaler, Interference and SINR coverage in spatial non-slotted Aloha networks, annals of telecommunications - annales des t??l??communications, vol.43, issue.3, pp.345-358, 2015.
DOI : 10.1109/25.312811

G. E. Crooks, Logistic approximation to the logistic-normal integral, tech. rep, 2009.

J. G. Proakis, Digital Communications 5th Edition, 2007.

J. P. Nolan, Stable Distributions -Models for Heavy Tailed Data, progress, Chapter, 2018.

X. Lagrange, P. Godelewski, and S. Tabbane, Réseaux GSM: des principesa la norme, 2000.

G. C. Madueno, C. Stefanovic, and P. Popovski, How many smart meters can be deployed in a GSM cell?, 2013 IEEE International Conference on Communications Workshops (ICC), pp.1263-1268, 2013.
DOI : 10.1109/ICCW.2013.6649431

G. C. Madueno, ?. C. Stefanovi´cstefanovi´c, and P. Popovski, Reengineering GSM/GPRS towards a dedicated network for massive smart metering, 2014 IEEE International Conference on Smart Grid Communications (SmartGridComm), pp.338-343, 2014.
DOI : 10.1109/SmartGridComm.2014.7007669

URL : http://arxiv.org/pdf/1410.6627

C. You and Y. Zhang, A radio resource scheduling scheme for periodic M2M communications in cellular networks, 2014 Sixth International Conference on Wireless Communications and Signal Processing (WCSP), p.2014
DOI : 10.1109/WCSP.2014.6992085

J. Kelif, M. Coupechoux, and P. Godlewski, A Fluid Model for Performance Analysis in Cellular Networks, EURASIP Journal on Wireless Communications and Networking, vol.2010, issue.1, p.435189, 2010.
DOI : 10.1109/25.917918

URL : https://hal.archives-ouvertes.fr/hal-00830022

P. Mogensen, W. Na, I. Z. Kovács, F. Frederiksen, A. Pokhariyal et al., LTE Capacity Compared to the Shannon Bound, 2007 IEEE 65th Vehicular Technology Conference, VTC2007-Spring, pp.1234-1238, 2007.
DOI : 10.1109/VETECS.2007.260

M. Coupechoux and J. Kelif, How to set the fractional power control compensation factor in LTE ?, 34th IEEE Sarnoff Symposium, pp.1-5, 2011.
DOI : 10.1109/SARNOF.2011.5876464

URL : https://hal.archives-ouvertes.fr/hal-00721232