Long-range dependence and performance in telecom networks

Applied Stochastic Models in Business and Industry

Volumn 20, Issue 4, 2004, Pages 305-321

  Conti, Pier Luigi ^a   Lijoi, Antonio ^b   Ruggeri, Fabrizio ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

^c CNR   (Italy)

Author keywords

Fractional Brownian motion; Long range dependence; Overflow probability; Teletraffic data

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; BUFFER STORAGE; DATA COMMUNICATION SYSTEMS; ELECTRONIC MAIL; INFORMATION ANALYSIS; NETWORK PROTOCOLS; PROBABILITY; TELECOMMUNICATION TRAFFIC; VIDEO SIGNAL PROCESSING;

FRACTIONAL BROWNIAN MOTION (FBM); LONG-RANGE DEPENDENCE; OVERFLOW PROBABILITY; TELETRAFFIC DATA;

TELECOMMUNICATION NETWORKS;

EID: 9744241973     PISSN: 15241904     EISSN: None     Source Type: Journal    
DOI: 10.1002/asmb.542     Document Type: Article

References (23)

1. Giroux N. Ganti S. Quality of Service in ATM Networks. Prentice-Hall: London, 1999.
2. De Pricker M. Asynchronous Transfer Mode: Solution for Broadband ISDN. Ellis Horwood: New York, 1993.
3. IETF RFC 2225. Classic IP and ARP over ATM. Internet Engineering Task Force, 1998.
4. IETF RFC 3035. MLPS using LPD and ATM VC switching. Internet Engineering Task Force, 2001.
5. Roberts R. Mocci U, Virtamo J (eds). Broadband Network Teletraffic. Lectures Notes in Computer Science, vol. 1155, Springer: Berlin, 1996.
6. ITU-T Recommendation 1.356. ATM layer cell transfer performance. International Telecommunications Union-Telecommunication. 1996.
7. Bruneel H, Kim BG. Discrete-Time Models for Communication Systems including ATM. Kluwer: Boston, 1993.
8. Benes̃ VE. General Stochastic Processes in the Theory of Queues. Addison-Wesley: Reading, MA, 1963.
9. Norros I. A storage model with self-similar input. Queueing Systems Theory and Applications 1994; 16:387-396.
10. Norros I. On the use of fractional Brownian motion in the theory of connectionless networks. IEEE Journal on Selected Areas in Communications 1995; 13:953-962.
11. Willinger W, Taqqu MS, Leland WE, Wilson DV. Self-similarity in high-speed packet traffic: analysis and modelling of Ethernet traffic measurements. Statistical Science 1995; 10:67-85.
12. Willinger W, Taqqu MS, Sherman R, Wilson DV. Self-similarity through high-variability: statistical analysis of Ethernet LAN traffic at the source level. In Proceedings of ACM SIGCOMM 95. Cambridge, ACM: 1995; 100-113.
13. Willinger W, Taqqu MS, Erramilli A. A bibliographic guide to self-similar traffic and performance modeling for modern high-speed networks. In Stochastic Network, Kelly FP. Zachery S, Ziedins I (eds). Oxford University Press: Oxford, 1997.
14. Beran J. Statistics for Long-Memory Processes. Chapman & Hall: London, 1994.
15. Resnick SI. Heavy tail modeling, teletraffic data. The Annals of Statistics 1997; 25:1805-1896.
16. Tsybakov B, Georganas ND. On self-similar traffic in ATM queues: definitions, overflow probability bound and cell delay distribution. IEEE Transactions on Networking 1997; 5:397-409.
17. Hüsler J, Piterbarg V. Extremes of a certain class of Gaussian processes. Stochastic Processes and their Applications 1999; 83:257-271.
18. Shao QM. Bounds and estimators of a basic constant in extreme value theory of Gaussian processes. Statistica Sinica 1996; 6: 245-257.
19. x. Extremes 1999; 1:59-70.
20. Chow YS, Teicher H. Probability Theory. Springer: New York, 1995.
21. Parker, M. The European ATM Pilot. In Proceedings of XV International Switching Symposium ISS'95, Berlin. 1995.
22. Gnetti AS. Characterizations and measurements of teletraffic generated by IP protocol on ATM network. M.S. Thesis, Università di Roma 'La Sapienza' Facoltà di Ingegneria (in Italian).
23. Smith B. Bayesian Output Analysis program: version 1.0.0. Department of Biostatistics, University of Iowa, 2001. Available at http://www.public-health. uiowa/edu/boa.