S. Petersen and S. Carlsen, WirelessHART Versus ISA100.11a: The Format War Hits the Factory Floor, IEEE Industrial Electronics Magazine, vol.5, issue.4, pp.23-34, 2011.
DOI : 10.1109/MIE.2011.943023

T. Pulgar, J. L. Scharbarg, K. Jaffrès-runser, and C. , Extending CAN over the air: an interconnection study through IEEE802, pp.10-15, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01147311

K. Jaffrès-runser, Worst case delay analysis for a wireless point-topoint transmission, 11th International Workshop on Real-Time Networks, 2012.

P. Engelstad and O. Osterbo, The Delay Distribution of IEEE 802.11e EDCA and 802.11 DCF, 2006 IEEE International Performance Computing and Communications Conference, pp.10-96, 2006.
DOI : 10.1109/.2006.1629394

J. Vardakas, M. K. Sidiropoulos, and M. Logothetis, Performance behaviour of IEEE 802.11 distributed coordination function, IET Circuits, Devices & Systems, vol.2, issue.1, pp.50-59, 2008.
DOI : 10.1049/iet-cds:20070047

H. Vu and T. Sakurai, Accurate delay distribution for IEEE 802.11 DCF, IEEE Communications Letters, vol.10, issue.4, pp.317-319, 2006.
DOI : 10.1109/LCOMM.2006.1613759

H. Zhai, Y. Kwon, and Y. , Performance analysis of IEEE 802.11 MAC protocols in wireless LANs, Wireless Communications and Mobile Computing, vol.28, issue.8, pp.917-931, 2004.
DOI : 10.1002/wcm.263

L. Dong, Y. Shu, H. Chen, and M. Ma, Packet delay analysis on IEEE 802.11 DCF under finite load traffic in multi-hop ad hoc networks, Science in China Series F: Information Sciences, vol.32, issue.3, pp.51-408, 2008.
DOI : 10.1007/s11432-008-0008-2

L. Xie, H. Wang, G. Wei, and Z. Xie, Performance analysis of IEEE 802.11 DCF in multi-hop ad hoc networks, Proceedings of NSWCTC '09, pp.227-230, 2009.

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

Q. Wang, K. Jaffrès-runser, J. Scharbarg, C. Fraboul, Y. Sun et al., Delay distribution of IEEE802.11 DCF, Proceedings of the 10th ACM symposium on Performance evaluation of wireless ad hoc, sensor, & ubiquitous networks, PE-WASUN '13, pp.41-48, 2013.
DOI : 10.1145/2507248.2507268

URL : https://hal.archives-ouvertes.fr/hal-01290133

A. Willig and T. Berlin, A short introduction to queueing theory, 1999.

J. Abate, G. Choudhury, and W. Whitt, Computational Probability, Chap. An Introduction to Numerical Transform Inversion and its Application to Probability Models, pp.257-323, 1999.

F. Alizadeh-shabdiz and S. Subranmaniam, Analytical Models for Single-Hop and Multi-Hop Ad Hoc Networks, Mobile Networks and Applications, vol.11, issue.1, pp.75-90, 2005.
DOI : 10.1007/s11036-005-4462-4

T. Abreu, B. Baynat, and T. , Begin, I. Guérin-Lassous, Hierarchical modeling of IEEE 802.11 multi-hop wireless networks, Proceedings of ACM MSWiM, 2013.

O. Tickoo and O. Sikdar, Modeling Queueing and Channel Access Delay in Unsaturated IEEE 802.11 Random Access MAC Based Wireless Networks, IEEE/ACM Transactions on Networking, vol.16, issue.4, pp.878-891, 2008.
DOI : 10.1109/TNET.2007.904010

N. V. Nguyen, I. Guérin-lassous, V. Moraru, and T. Razafindralambo, Characterisation and application of idle period durations in IEEE 802.11 DCF-based multihop wireless networks, Proceedings of the 15th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems, MSWiM '12, pp.277-284, 2012.
DOI : 10.1145/2387238.2387286

O. Tickoo and B. Sikdar, Queueing analysis and delay mitigation in IEEE 802.11 random access MAC based wireless networks, IEEE INFOCOM 2004, pp.1404-1413, 2004.
DOI : 10.1109/INFCOM.2004.1357025

I. Since, She is a member of the IRIT (CNRS UMR 5055) laboratory. She received both a Dipl From 2002 to 2005 she was with Inria, participating in the ARES project while working towards her Ph.D. thesis, as a post-doctoral researcher. She is the recipient of a 3-year Marie-Curie OIF fellowship from the European Union to pursue her work from, Katia Jaffres-Runser is an Associate Professor (Ma ^ itre de Conférences Medical Imaging in 2002 and a Ph.D. in Computer Science in 2005 from the National Institute of Applied Sciences (INSA) she joined the Stevens Institute of Technology both Stevens Institute of Technology and INSA Lyon on wireless networks modeling and multiobjective optimization she participated in the GreenTouch consortium as a delegate from INRIA. She's interested in performance evaluation of wireless networks (cognitive networks, DTN, ad hoc networks , wireless embedded networks) using game theory, multiobjective optimization and metaheuristics. She's been working as well on fountain and network coding for wireless sensor networks, 2006.

. Jean-luc, He has been an Associate Professor at the Universite de Toulouse (INPT/ENSEEIHT and IRIT Laboratory ) since 2002 Since 2012, he is a full professor His current research interest concerns the analysis and performance evaluation of embedded networks, mainly in the context of avionics and automotive. Christian Fraboul received the Engineer degree from INPT/ENSEEIHT From 1974 to 1998, he worked as a Research Engineer at ONERA. Since 1998, he is full time Professor at INPT, where he is in charge of the Department of Telecommunications and Networks, ENS- EEIHT, and of the IRT team of the IRIT Laboratory. His main fields of interest are embedded networks architectures and performance evaluation of such architectures, 1974.