.. Achieving-frequency-reuse-1 and A. Fusc, 41 3.5.1 Beamforming with Partial Loading of Subchannels, p.43

.. Semi-analytical-method, Simulations and Distribution/Curve Fitting, p.51

R. Validation and .. Study, 90 6.2.4.1 Simulation Models, 91 6.2.4.2 Pseudo-codes for Scheduling Schemes . . . . . . . 94 6.2.4.3 Simulator Description . . . . . . . . . . . . . . . 97

S. Results and .. , 98 6.2.5.1 Validation Study, Robustness Study, vol.100

B. Effort and (. , 100 6.3.1 Conventional Scheduling Schemes, Performance Parameters, vol.102

. Avg, (DL) vs distance for reuse 1x1x1, 1x3x1 and 1x3x3, p.27

. Avg, (DL) vs distance for reuse 3x1x1, 3x3x1 and 3x3x3, p.27

. Avg, cell throughput vs distance for reuse 1x1x1, 1x3x1 and 1x3x3, p.28

. Avg, cell throughput vs distance for reuse 3x1x1, 3x3x1 and 3x3x3, p.28

.. Closed-queuing-network, 102 6.4 ¯ (validation study, mono-profile, conventional schemes) . . . . . 110 6.5 ¯ (validation study, mono-profile, conventional schemes) (validation study, mono-profile, conventional schemes), p.111

A. Ofdma-downlink-sub-frame and .. , 126 A.2 Illustration of OFDMA frame with multiple zones, 127 A.3 Permutation process of FUSC DL (2048-FFT) . . . . . . . . . . . 128

P. 'for, 132 A.8 PUSC DL slot, p.134

. Location-parameter-vs-for-reuse-1x1x1........, 137 B.5 MCS probabilities for = 7 137 B.6 distribution with simulation and GEV for reuse 1x3x1, p.138

.. Location-parameter-vs-for-reuse-1x3x1, 140 B.11 distribution with simulation and GEV for reuse 1x3x3. . 141 B.12 Shape parameter vs for reuse 1x3x3 142 B.13 Scale parameter vs for reuse 1x3x3 142 B.14 Location parameter vs for reuse 1x3x3 143 B.15 MCS probabilities for = 7.5 dB and reuse 1x3x3 143 B.16 distribution with simulation and GEV for reuse 3x1x1 145 B.18 Scale parameter vs for reuse 3x1x1 145 B.19 Location parameter vs for reuse 3x1x1 146 B.21 distribution with simulation and GEV for reuse 3x3x1. . 147 B.22 Shape parameter vs for reuse 3x3x1, 148 B.23 Scale parameter vs for reuse 148 B.24 Location parameter vs for reuse, p.153

I. Koffman and V. Roman, Broadband Wireless Access Solutions Based on OFDM Access in IEEE 802, IEEE Communications Magazine, vol.16, 2002.

F. Wang, A. Ghosh, C. Sankaran, P. J. Fleming, F. Hsieh et al., Mobile WiMAX systems: performance and evolution, IEEE Communications Magazine, vol.46, issue.10, 2008.
DOI : 10.1109/MCOM.2008.4644118

J. G. Andrews, A. Ghosh, and R. Muhamed, Fundamentals of WiMAX: Understanding Broadband Wireless Networking, 2007.

S. Elayoubi, O. B. Haddada, and B. Fourestié, Performance evaluation of frequency planning schemes in OFDMA-based networks, IEEE Transactions on Wireless Communications, vol.7, issue.5, 2008.
DOI : 10.1109/TWC.2008.060458.

T. Bonald and A. Proutiere, Wireless downlink data channels, Proceedings of the 9th annual international conference on Mobile computing and networking , MobiCom '03, 2003.
DOI : 10.1145/938985.939020

URL : https://hal.archives-ouvertes.fr/hal-01244817

S. Borst, User-Level Performance of Channel-Aware Scheduling Algorithms in Wireless Data Networks, Proc. of IEEE Infocom, 2003.

S. Liu and J. Virtamo, Performance Analysis of Wireless Data Systems with a Finite Population of Mobile Users, Proc. of 19th International Teletraffic Congress, 2005.

K. Ramadas and R. Jain, WiMAX System Evaluation Methodology, WiMAX Forum, Tech. Rep, 2007.

M. Maqbool, M. Coupechoux, and P. Godlewski, Comparative Study of Reuse Patterns for WiMAX Cellular Networks, ENST (TELECOM ParisTech), 2008.

M. Maqbool, M. Coupechoux, and P. Godlewski, Comparison of Various Frequency Reuse Patterns for WiMAX Networks with Adaptive Beamforming, VTC Spring 2008, IEEE Vehicular Technology Conference, 2008.
DOI : 10.1109/VETECS.2008.567

URL : https://hal.archives-ouvertes.fr/hal-01493340

M. Maqbool, M. Coupechoux, and P. Godlewski, Effect of Distributed Subcarrier Permutation on Adaptive Beamforming in WiMAX Networks, 2008 IEEE 68th Vehicular Technology Conference, 2008.
DOI : 10.1109/VETECF.2008.418

URL : https://hal.archives-ouvertes.fr/hal-01493343

M. Maqbool, M. Coupechoux, P. Godlewski, and V. Capdevielle, Achieving Frequency Reuse 1 in WiMAX Networks with Beamforming " book chapter, 2009.

M. Maqbool, M. Coupechoux, and P. Godlewski, Reuse 1 in WiMAX Networks with Beamforming, Proc. of Wireless World Research Forum (WWRF), 22nd meeting, 2009.

M. Maqbool, M. Coupechoux, and P. Godlewski, A semi-analytical method to model effective SINR spatial distribution in WiMAX networks, 2009 IEEE Sarnoff Symposium, 2009.
DOI : 10.1109/SARNOF.2009.4850356

M. Maqbool, M. Coupechoux, and P. Godlewski, A semi-analytical method to model effective SINR spatial distribution in WiMAX networks, 2009 IEEE Sarnoff Symposium, 2008.
DOI : 10.1109/SARNOF.2009.4850356

M. Maqbool, M. Coupechoux, P. Godlewski, S. Doirieux, B. Baynat et al., Dimensioning Methodology for OFDMA Networks, Proc. of Wireless World Research Forum (WWRF), 22nd meeting, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01295276

P. Godlewski, M. Maqbool, M. Coupechoux, and J. M. Kelif, Analytical Evaluation of Various Frequency Reuse Schemes in Cellular OFDMA Networks, Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools, 2008.
DOI : 10.4108/ICST.VALUETOOLS2008.4372

URL : https://hal.archives-ouvertes.fr/hal-01144500

M. Maqbool, P. Godlewski, M. Coupechoux, and J. M. Kelif, Analytical performance evaluation of various frequency reuse and scheduling schemes in cellular OFDMA networks, Performance Evaluation, vol.67, issue.4, 2009.
DOI : 10.1016/j.peva.2009.08.001

URL : https://hal.archives-ouvertes.fr/hal-01144500

B. Baynat, S. Doirieux, G. Nogueira, M. Maqbool, and M. Coupechoux, An efficient analytical model for WiMAX networks with multiple traffic profiles, Proceedings of the International Conference on Mobile Technology, Applications, and Systems, Mobility '08, 2008.
DOI : 10.1145/1506270.1506388

URL : https://hal.archives-ouvertes.fr/hal-01303446

B. Baynat, S. Doirieux, G. Nogueira, M. Maqbool, and M. Coupechoux, An Analytical Model for WiMAX Networks with Multiple Traffic Profiles and Throttling Policy, Proc. of WiOpt, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01295264

B. Baynat, G. Nogueira, M. Maqbool, and M. Coupechoux, An Efficient Analytical Model for the Dimensioning of WiMAX Networks, Proc. of 8th IFIP-TC6 Networking Conference, 2009.
DOI : 10.1109/90.879350

URL : https://hal.archives-ouvertes.fr/hal-01294444

G. Kulkarni, S. Adlakha, and M. Srivastava, Subcarrier allocation and bit loading algorithms for OFDMA-based wireless networks, IEEE Transactions on Mobile Computing, vol.4, issue.6, 2005.
DOI : 10.1109/TMC.2005.90

L. Nuaymi, WiMAX: Technology for Broadband Wireless Access, 2007.
DOI : 10.1002/9780470319055

C. Lengoumbi, P. Godlewski, and P. Martins, Subchannelization Performance for the Downlink of a Multi-cell OFDMA System, Third IEEE International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob 2007), 2007.
DOI : 10.1109/WIMOB.2007.4390801

D. Astély, E. Dahlman, P. Frenger, R. Ludwig, M. Meyer et al., A future radio-access framework, IEEE Journal on Selected Areas in Communications, vol.24, issue.3, 2006.
DOI : 10.1109/JSAC.2005.862420

E. Dahlman, H. Ekström, A. Furuskär, Y. Jading, J. Karlsson et al., The 3G Long-Term Evolution - Radio Interface Concepts and Performance Evaluation, 2006 IEEE 63rd Vehicular Technology Conference, 2006.
DOI : 10.1109/VETECS.2006.1682791

F. Baskett, K. Chandy, R. Muntz, and F. Palacios, Open, Closed, and Mixed Networks of Queues with Different Classes of Customers, Journal of the ACM, vol.22, issue.2, 1975.
DOI : 10.1145/321879.321887

C. Tarhini and T. Chahed, On capacity of OFDMA-based IEEE802.16 WiMAX including Adaptive Modulation and Coding (AMC) and inter-cell interference, 2007 15th IEEE Workshop on Local & Metropolitan Area Networks, 2006.
DOI : 10.1109/LANMAN.2007.4295989

H. Jia, Z. Zhang, G. Yu, P. Cheng, and S. Li, On the Performance of IEEE 802.16 OFDMA System Under Different Frequency Reuse and Subcarrier Permutation Patterns, 2007 IEEE International Conference on Communications, 2007.
DOI : 10.1109/ICC.2007.948

F. Wang, A. Ghosh, C. Sankaran, and S. Benes, WiMAX System Performance with Multiple Transmit and Multiple Receive Antennas, 2007 IEEE 65th Vehicular Technology Conference, VTC2007-Spring, 2007.
DOI : 10.1109/VETECS.2007.576

C. F. Ball, E. Humburg, K. Ivanov, and F. Treml, Performance Analysis of IEEE802.16 Based Cellular MAN with OFDM-256 in Mobile Scenarios, Proc. of IEEE VTC Spring, 2005.

C. F. Ball, E. Humburg, K. Ivanov, and F. Treml, Comparison of IEEE802.16 WiMax Scenarios with Fixed and Mobile Subscribers in Tight Reuse, Proc. of EURASIP, 2005.

L. Nuaymi and Z. Noun, Simple Capacity Estimations in WIMAX/802.16 System, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications, 2006.
DOI : 10.1109/PIMRC.2006.254129

R. Srinivasan, Draft IEEE 802.16m Evaluation Methodology Document, IEEE 802.16 Broadband Wireless Access Working Group, 2007.

D. Huo, Clarification on the Wrap-Around Hexagon Network Structure, IEEE C802.20-05/15, IEEE 802.20 Working Group on Mobile Broadband Wireless Access, 2005.

J. Khun-jush, CDMA Uplink Power Control Methodology in SEAMCAT (VOICE ONLY), STG(03)13 r1, SEAMCAT Technical Group, 2003.

R. Pabst, J. Ellenbeck, M. Schinnenburg, and C. Hoymann, System Level Performance of Cellular WiMAX IEEE 802.16 with SDMA-enhanced Medium Access, 2007 IEEE Wireless Communications and Networking Conference, 2007.
DOI : 10.1109/WCNC.2007.342

M. C. Necker, Towards frequency reuse 1 cellular FDM/TDM systems, Proceedings of the 9th ACM international symposium on Modeling analysis and simulation of wireless and mobile systems , MSWiM '06, 2006.
DOI : 10.1145/1164717.1164775

M. C. Necker, Coordinated fractional frequency reuse, Proceedings of the 10th ACM Symposium on Modeling, analysis, and simulation of wireless and mobile systems , MSWiM '07, 2007.
DOI : 10.1145/1298126.1298178

URL : http://www.ikr.uni-stuttgart.de/Content/Publications/Archive/Ne_coordinatedFFR_36601.pdf

D. S. Baum, IST-2003-507581, D5.4 Final Report on Link and System Level Channel Models. WINNER, 2005.

D. Tse and P. Viswanath, Fundamentals of Wireless Communications, 2006.
DOI : 10.1017/CBO9780511807213

M. Zorzi, On the analytical computation of the interference statistics with applications to the performance evaluation of mobile radio systems, IEEE Transactions on Communications, vol.45, issue.1, 1997.
DOI : 10.1109/26.554292

J. Cho and D. Hong, Statistical Model of Downlink Interference for the Performance Evaluation of CDMA Systems, IEEE Communications Letters, 2002.

A. Mäder and D. Staehle, Interference Estimation for the HSDPA Service in Heterogeneous UMTS Networks. Book Chapter, Lecture Notes in Computer Science, 2006.

C. F. Ball, E. Humburg, K. Ivanov, and R. Müllner, Rapid Estimation Method for Data Capacity and Spectrum Efficiency in Cellular Networks, Proc. of 14th IST Mobile and Wireless Communications Summit, 2005.

M. Einhaus, O. Klein, B. Walke, and R. Halfmann, MAC Level Performance Comparison of Distributed and Adjacent OFDMA Subchannels in IEEE 802, Proc. of European Wireless (EW), 2007.

Y. Choi, C. S. Kim, and S. Bahk, Flexible Design of Frequency Reuse Factor in OFDMA Cellular Networks, 2006 IEEE International Conference on Communications, 2006.
DOI : 10.1109/ICC.2006.254978

J. So, Performance Analysis of VoIP Services in the IEEE 802.16e OFDMA System With Inband Signaling, Trans. of IEEE on Vehicular Technology, 2008.

S. K. Kim and C. G. Kang, Throughput Analysis of Band-AMC Scheme in Broadband Wireless OFDMA System, Proc. of IEEE WCNC, 2006.
DOI : 10.1093/ietcom/e90-b.2.269

C. Monti, R. Giuliano, F. Mazzenga, and P. Loreti, Interference evaluation for a cellular system based on OFDMA, Proceedings of the 2nd international conference on Mobile multimedia communications , MobiMedia '06, 2006.
DOI : 10.1145/1374296.1374319

S. Elayoubi, B. Fourestié, and X. Auffret, On the capacity of OFDMA 802.16 systems, 2006 IEEE International Conference on Communications, 2006.
DOI : 10.1109/ICC.2006.254974

S. Markose and A. Alentorn, The Generalized Extreme Value (GEV) Distribution, Implied Tail Index and Option Pricing, Economics Discussion Papers, vol.594, 2005.

D. Sinha, H. Zhou, and N. V. Shenoy, Advances in Computation of the Maximum of a Set of Gaussian Random Variables, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol.26, issue.8, 2007.
DOI : 10.1109/TCAD.2007.893544

G. Liu, J. Zhu, F. Jiang, B. Zhou, Y. Wang et al., Initial Performance Evaluation on TD-SCDMA Long Term Evolution System, Proc. of IEEE VTC Spring, 2006.

M. C. Necker, Local Interference Coordination in Cellular 802.16e Networks, Proc. of IEEE VTC Fall, 2007.

C. He, F. Liu, H. Yang, C. Chen, H. Sun et al., Cochannel Interference Mitigation in MIMO-OFDM System, Proc. of IEEE WiCom, 2007.

C. Tarhini and T. Chahed, On capacity of OFDMA-based IEEE802.16 WiMAX including Adaptive Modulation and Coding (AMC) and inter-cell interference, 2007 15th IEEE Workshop on Local & Metropolitan Area Networks, 2007.
DOI : 10.1109/LANMAN.2007.4295989

J. Kelif and E. Altman, Downlink Fluid Model of CDMA Networks, 2005 IEEE 61st Vehicular Technology Conference, 2005.
DOI : 10.1109/VETECS.2005.1543738

J. Kelif, M. Coupechoux, and P. Godlewski, Spatial Outage Probability for Cellular Networks, IEEE GLOBECOM 2007-2007 IEEE Global Telecommunications Conference, 2007.
DOI : 10.1109/GLOCOM.2007.845

URL : https://hal.archives-ouvertes.fr/hal-01493329

J. Kelif, M. Coupechoux, and P. Godlewski, Effect of Shadowing on Outage Probability in Fluid Cellular Networks, Proc. of WiOpt, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01493334

V. Erceg and L. J. Greenstein, An Empirically Based Path Loss Model for Wireless Channels in Suburban Environments, IEEE Journal on Selected Areas in Communications, 1999.

S. Kim and I. Yeom, Performance Analysis of Best Effort Traffic in IEEE 802.16 Networks, IEEE Transactions on Mobile Computing, 2008.

F. Hou, J. She, P. Ho, and X. Shen, Performance Analysis of Weighted Proportional Fairness Scheduling in IEEE 802.16 Networks, 2008 IEEE International Conference on Communications, 2008.
DOI : 10.1109/ICC.2008.649

D. Sivchenko, N. Bayer, B. Xu, V. Rakocevic, and J. Habermann, Internet Traffic Performance in IEEE 802.16 Networks, Proc. of 12th European Wireless Conference, 2006.

O. Grøndalen, P. Grønsund, T. Breivik, and P. Engelstad, Fixed WiMAX Field Trial Measurements and Analyses, 2007 16th IST Mobile and Wireless Communications Summit, 2007.
DOI : 10.1109/ISTMWC.2007.4299213

D. Niyato and E. Hossain, A Queuing-theoretic and Optimization-based Model for Radio Resource Management in IEEE 802, 16 Broadband Networks, 2006.

A. Feldmann, A. C. Gilbert, P. Huang, and W. Willinger, Dynamics of IP Traffic: A Study of the Role of Variability and the Impact of Control, Computer Communication Review ACM SIGCOMM, 1999.