A diffusion approximation model for wireless networks based on IEEE 802.11 standard

Computer Communications

Volumn 33, Issue SUPPL. 1, 2010, Pages

  Czachórski, Tadeusz ^a   Grochla, Krzysztof ^a   Nycz, Tomasz ^b   Pekergin, Ferhan ^c  

^a INSTITUTE OF THEORETICAL AND APPLIED INFORMATICS   (Poland)

^b SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

^c UNIVERSITÉ PARIS 13   (France)

Author keywords

CSMA CA; Diffusion approximation; Distributed coordination function; IEEE 802.11 protocol; Queueing network models

Indexed keywords

CSMA/CA; DIFFUSION APPROXIMATION; DISTRIBUTED COORDINATION FUNCTION; IEEE 802.11 PROTOCOLS; QUEUEING NETWORK MODELS;

CARRIER SENSE MULTIPLE ACCESS; DIFFUSION; DISTRIBUTED COMPUTER SYSTEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; POISSON DISTRIBUTION; QUALITY OF SERVICE; QUEUEING THEORY; STANDARDS; TOPOLOGY; WIRELESS NETWORKS;

QUEUEING NETWORKS;

EID: 77957272182     PISSN: 01403664     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comcom.2010.07.006     Document Type: Article

References (27)

1. A. Banchs, A. Azcorra, C. Garca, and R. Cuevas Applications and challenges of the 802.11e EDCA mechanism: an experimental study IEEE Network 2005 52 58 (Pubitemid 41107568)
2. G. Bianchi Performance analysis of the IEEE 802.11 distributed coordination function IEEE J. Selected Areas Commun. 18 3 2000 535 547
3. P.J. Burke The output of a queueing system Oper. Res. 4 6 1956 699 704
4. G.R. Cantieni, Q. Ni, Ch. Barakat, and T. Turletti Performance analysis under finite load and improvements for multirate 802.11 Comput. Commun. 28 2005 1095 1109 (Pubitemid 40701639)
5. R.P. Cox, and H.D. Miller The Theory of Stochastic Processes 1965 Chapman and Hall London
6. T. Czachórski A method to solve diffusion equation with instantaneous return processes acting as boundary conditions Bull. Pol. Acad. Sci. 41 4 1993
7. T. Czachórski, J.M. Fourneau, and F. Pekergin Diffusion model of an atm network node Bull. Pol. Acad. Sci. 41 4 1993
8. T. Czachórski, J.-M. Fourneau, T. Nycz, and F. Pekergin Diffusion approximation model of multiserver stations with losses Electron. Notes Theor. Comput. Sci. 232 2009 125 143
9. T. Czachórski, T. Nycz, F. Pekergin, Transient states of priority queues-a diffusion approximation study, in: Proc. of 2009 Fifth Advanced International Conference on Telecommunications (AICT 2009), Venice, Italy, 2009, pp. 24-28.
10. T. Czachórski, K. Grochla, and F. Pekergin Diffusion approximation model for the distribution of packet travel time at sensor networks D. Kouvatsos, Traffic and Performance Engineering for Heterogeneous Networks 2009 River Publishers
11. W. Feller third ed. An Introduction to Probability Theory and Applications vol. 1 1968 Wiley New York
12. E. Gelenbe On approximate computer systems models J. ACM 22 2 1975
13. E. Gelenbe, and G. Pujolle The behaviour of a single queue in a general queueing network Acta Informatica 7 2 1976 123 136
14. E. Gelenbe Probabilistic models of computer systems. Part II Acta Informatica 12 1979 285 303
15. T-S. Ho, and K.C. Chen Performance analysis of IEEE 802.11 CSMA/CA Medium Access Control Protoc. 1996 407 411
16. D. Iglehart, and W. Whitt Multiple channel queues in heavy traffic, Part I-III Adv. Appl. Probab. 2 1970 150 177 355-369
17. D. Iglehart Weak convergence in queueing theory Adv. Appl. Probab. 5 1973 570 594
18. L. Kleinrock, Queueing Systems, vol. I: Theory, vol. II: Computer Applications, Wiley, New York, 1975.
19. H. Kobayashi, Application of the diffusion approximation to queueing networks, Part 1: equilibrium queue distributions, J. ACM, vol. 21, No. 2, pp. 316-328
20. Part 2: nonequilibrium distributions and applications to queueing modeling, J. ACM, vol. 21, No. 3, pp. 459-469, 1974.
21. H. Kobayashi Modeling and Analysis: An Introduction to System Performance Evaluation Methodology 1978 Addison Wesley Reading, Mass.
22. D. Malone, K. Duffy, and D. Leith Modeling the 802.11 distributed coordination function in nonsaturated heterogeneous conditions IEEE/ACM Trans. Networking 15 1 2007 159 172 (Pubitemid 46464425)
23. G.F. Newell Queues with time-dependent rates, Part I: the transition through saturation; Part II: the maximum queue and return to equilibrium;, Part III: a mild rush hour J. Appl. Prob. 5 1968 436 451 579-590, 591-606
24. G.F. Newell Applications of Queueing Theory 1971 Chapman and Hall London
25. OMNET ++ site: < http://www.omnetpp.org/ >.
26. L. Yun, L. Ke-ping, Z. Wei-Liang, and W. Chong-Gang Analyzing the channel access delay of IEEE 802.11 DCF Globecom 2005 2997 3001 (Pubitemid 46171664)
27. E. Ziouva, and T. Antonakopoulos CSMA/CA performance under high traffic conditions, throughput and delay analysis Comput. Commun. 25 2002 313 321 (Pubitemid 33110416)