메뉴 건너뛰기




Volumn 19, Issue 4, 2003, Pages 549-577

The self-similar and multifractal nature of a network traffic model

Author keywords

Cumulative input model; Gaussian process; Internet modelling; Levy stable motion; Multifractals; Poisson process; Self similarity

Indexed keywords

APPROXIMATION THEORY; FRACTALS; GAUSSIAN NOISE (ELECTRONIC); POISSON DISTRIBUTION; TELECOMMUNICATION NETWORKS; TELECOMMUNICATION TRAFFIC; TIME SERIES ANALYSIS;

EID: 0347410941     PISSN: 15326349     EISSN: None     Source Type: Journal    
DOI: 10.1081/STM-120025404     Document Type: Article
Times cited : (16)

References (33)
  • 3
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data
    • Resnick, S. Heavy tail modeling and teletraffic data. Ann. Statist. 1997, 25, 1805-1869.
    • (1997) Ann. Statist , vol.25 , pp. 1805-1869
    • Resnick, S.1
  • 5
    • 84972521562 scopus 로고
    • Self-similarity in high speed packet traffic: Analysis and modelling of ethernet traffic measurements
    • Willinger, W.; Taqqu, M.S.; Leland, W.E.; Wilson, D. Self-similarity in high speed packet traffic: analysis and modelling of Ethernet traffic measurements. Stat. Sci. 1995, 10, 67-85.
    • (1995) Stat. Sci. , vol.10 , pp. 67-85
    • Willinger, W.1    Taqqu, M.S.2    Leland, W.E.3    Wilson, D.4
  • 7
    • 0029323403 scopus 로고
    • Wide-area traffic: The failure of Poisson modeling
    • Paxson, V.; Floyd, S. Wide-area traffic: the failure of Poisson modeling. IEEE/ACM T. Network. 1995, 3 (3), 226-244.
    • (1995) IEEE/ACM T. Network , vol.3 , Issue.3 , pp. 226-244
    • Paxson, V.1    Floyd, S.2
  • 9
    • 0036349179 scopus 로고    scopus 로고
    • A.I.M.D., fairness and fractal scaling of tcp traffic
    • Baccelli, F.; Hong, D. A.I.M.D., fairness and fractal scaling of tcp traffic. Proceedings of the 21st Annual IEEE INFOCOM, 2002; Available at http://www.ieee-infocom.org/2002/papers/069.pdf.
    • (2002) Proceedings of the 21st Annual IEEE INFOCOM
    • Baccelli, F.1    Hong, D.2
  • 11
    • 0032178081 scopus 로고    scopus 로고
    • Data networks as cascades: Investigating the multifractal nature of internet WAN traffic
    • Feldman, A.; Gilbert, A.C.; Willinger, W. Data networks as cascades: investigating the multifractal nature of internet WAN traffic. Comput. Commun. Rev. 1998, 28 (4), 42-55
    • (1998) Comput. Commun. Rev. , vol.28 , Issue.4 , pp. 4255
    • Feldman, A.1    Gilbert, A.C.2    Willinger, W.3
  • 14
    • 0032625224 scopus 로고    scopus 로고
    • Scaling analysis of conservative cascades, with applications to network traffic
    • Special Issue on "Multiscale statistical signal analysis and its applications", April 1999
    • Gilbert, A.C.; Willinger, W.; Feldman, A. Scaling analysis of conservative cascades, with applications to network traffic. IEEE T. Inform. Theory 1999, 45 (3), 971-991; Special Issue on "Multiscale statistical signal analysis and its applications", April 1999.
    • (1999) IEEE T. Inform. Theory , vol.45 , Issue.3 , pp. 971-991
    • Gilbert, A.C.1    Willinger, W.2    Feldman, A.3
  • 17
    • 0037231482 scopus 로고    scopus 로고
    • Small and large time scale analysis of a network traffic model
    • Maulik, K.; Resnick, S. Small and large time scale analysis of a network traffic model. Queueing Syst. 2003, 43 (3), 221-250.
    • (2003) Queueing Syst. , vol.43 , Issue.3 , pp. 221-250
    • Maulik, K.1    Resnick, S.2
  • 18
    • 0036114594 scopus 로고    scopus 로고
    • Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
    • ISSN 1050-5164
    • Mikosch, T.; Resnick, S.; Rootzén, H.; Stegeman, A. Is network traffic approximated by stable Lévy motion or fractional Brownian motion? Ann. Appl. Probab. 2002, 12 (1), 23-68, ISSN 1050-5164.
    • (2002) Ann. Appl. Probab. , vol.12 , Issue.1 , pp. 23-68
    • Mikosch, T.1    Resnick, S.2    Rootzén, H.3    Stegeman, A.4
  • 20
    • 0346517294 scopus 로고    scopus 로고
    • Multifractal processes
    • Doukhan, P., Oppenheim, G., Taqqu, M.S., Ed.; Birkhäuser: Boston
    • Riedi, R.H. Multifractal processes. In Theory and Applications of Long Range Dependence; Doukhan, P., Oppenheim, G., Taqqu, M.S., Ed.; Birkhäuser: Boston, 2003; 625-716.
    • (2003) Theory and Applications of Long Range Dependence , pp. 625-716
    • Riedi, R.H.1
  • 21
    • 0033443957 scopus 로고    scopus 로고
    • The multifractal nature of Lévy processes
    • ISSN 0178-8051
    • Jaffard, S. The multifractal nature of Lévy processes. Probab. Theory Rel. 1999, 114 (2), 207-227, ISSN 0178-8051.
    • (1999) Probab. Theory Rel. , vol.114 , Issue.2 , pp. 207-227
    • Jaffard, S.1
  • 22
    • 0039685619 scopus 로고
    • Self-affine processes and the ergodic theorem
    • ISSN 0008-4395
    • Vervaat, W. Self-affine processes and the ergodic theorem. Canad. Math. Bull. 1994, 37 (2), 254-262, ISSN 0008-4395.
    • (1994) Canad. Math. Bull. , vol.37 , Issue.2 , pp. 254-262
    • Vervaat, W.1
  • 23
    • 0003588120 scopus 로고
    • American Mathematical Society: Providence, RI; ISBN 0-8218-4519-5. (Translated from the Russian by McFaden, H.H., Translation edited by Ben Silver)
    • Zolotarev, V.M. One-dimensional Stable Distributions; American Mathematical Society: Providence, RI, 1986. ISBN 0-8218-4519-5. (Translated from the Russian by McFaden, H.H., Translation edited by Ben Silver).
    • (1986) One-Dimensional Stable Distributions
    • Zolotarev, V.M.1
  • 24
    • 84963072532 scopus 로고
    • The mean values of certain Dirichlet series. II
    • Potter, H.S.A. The mean values of certain Dirichlet series. II. Proc. London Math. Soc. 1940, 47 (2), 1-19.
    • (1940) Proc. London Math. Soc. , vol.47 , Issue.2 , pp. 1-19
    • Potter, H.S.A.1
  • 25
    • 0001791777 scopus 로고
    • On interchanging limits and integrals
    • Pratt, J.W. On interchanging limits and integrals. Ann. Math. Statist. 1960, 31, 74-77.
    • (1960) Ann. Math. Statist. , vol.31 , pp. 74-77
    • Pratt, J.W.1
  • 28
    • 0002095272 scopus 로고
    • Point processes, regular variation and weak convergence
    • Resnick, S.I. Point processes, regular variation and weak convergence. Adv. Appl. Probab. 1986, 18, 66-138.
    • (1986) Adv. Appl. Probab. , vol.18 , pp. 66-138
    • Resnick, S.I.1
  • 30
    • 0037003085 scopus 로고    scopus 로고
    • Asymptotic independence and a network traffic model
    • ISSN 0021-9002
    • Maulik, K.; Resnick, S.; Rootzén, H. Asymptotic independence and a network traffic model. J. Appl. Probab. 2002, 39 (4), 671-699, ISSN 0021-9002.
    • (2002) J. Appl. Probab. , vol.39 , Issue.4 , pp. 671-699
    • Maulik, K.1    Resnick, S.2    Rootzén, H.3
  • 31
    • 0347777739 scopus 로고    scopus 로고
    • Limit theorems and applications
    • CRC Press: Boca Raton, FL; ISBN 0-8493-2875-6
    • Gnedenko, B.V.; Korolev, V.Yu. Random Summation; CRC Press: Boca Raton, FL, 1996; ISBN 0-8493-2875-6. Limit theorems and applications.
    • (1996) Random Summation
    • Gnedenko, B.V.1    Korolev, V.Yu.2
  • 32
    • 0034339324 scopus 로고    scopus 로고
    • Weak convergence of high-speed network traffic models
    • ISSN 0021-9002
    • Resnick, S.; van der Berg, E. Weak convergence of high-speed network traffic models. J. Appl. Probab. 2000, 37 (2), 575-597, ISSN 0021-9002.
    • (2000) J. Appl. Probab. , vol.37 , Issue.2 , pp. 575-597
    • Resnick, S.1    Van Der Berg, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.