메뉴 건너뛰기




Volumn 2459, Issue , 2002, Pages 405-434

Markovian modeling of real data traffic: Heuristic phase type and MAP fitting of heavy tailed and fractal like samples

Author keywords

[No Author keywords available]

Indexed keywords

DECAY (ORGANIC); FRACTALS; PACKET SWITCHING;

EID: 84957077505     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45798-4_17     Document Type: Conference Paper
Times cited : (43)

References (52)
  • 1
    • 0032097724 scopus 로고    scopus 로고
    • A markovian approach for modeling packet traffic with long-range dependence
    • A. T. Andersen and B. F. Nielsen. A markovian approach for modeling packet traffic with long-range dependence. IEEE Journal on Selected Areas in Communications, 16(5):719–732, 1998.
    • (1998) IEEE Journal on Selected Areas in Communications , vol.16 , Issue.5 , pp. 719-732
    • Andersen, A.T.1    Nielsen, B.F.2
  • 4
    • 0009012431 scopus 로고
    • On the index of dispersion for counts for user demand modeling
    • Study Group 2, Question 17/2
    • A. W. Berger. On the index of dispersion for counts for user demand modeling. In ITU, Madrid, Spain, June 1994. Study Group 2, Question 17/2.
    • (1994) In ITU, Madrid, Spain
    • Berger, A.W.1
  • 6
    • 84898063296 scopus 로고    scopus 로고
    • Heavy tails: The effect of the service discipline
    • London, England, Springer, LNCS 2324
    • S. C. Borst, O. J. Boxma, and R. Nunez-Queija. Heavy tails: The effect of the service discipline. In Tools 2002, pages 1–30, London, England, April 2002. Springer, LNCS 2324.
    • (2002) In Tools 2002 , pp. 1-30
    • Borst, S.C.1    Boxma, O.J.2    Nunez-Queija, R.3
  • 10
    • 0020419336 scopus 로고
    • On the canonical representation of homogeneous Markov processes modelling failure-time distributions
    • A. Cumani. On the canonical representation of homogeneous Markov processes modelling failure-time distributions. Microelectronics and Reliability, 22:583–602, 1982.
    • (1982) Microelectronics and Reliability , vol.22 , pp. 583-602
    • Cumani, A.1
  • 11
    • 0035190538 scopus 로고    scopus 로고
    • Fitting world-wide web request traces with the EM-algorithm
    • Denver, USA
    • R. El Abdouni Khayari, R. Sadre, and B. Haverkort. Fitting world-wide web request traces with the EM-algorithm. In Proc. Of SPIE, volume 4523, pages 211–220, Denver, USA, 2001.
    • (2001) Proc. Of SPIE , vol.4523 , pp. 211-220
    • El Abdouni Khayari, R.1    Sadre, R.2    Haverkort, B.3
  • 12
    • 84957047556 scopus 로고    scopus 로고
    • A valiadation of the pseudo self-similar traffic model
    • Washington D.C., USA
    • R. El Abdouni Khayari, R. Sadre, and B. Haverkort. A valiadation of the pseudo self-similar traffic model. In Proc. Of IPDS, Washington D.C., USA, 2002.
    • Proc. Of IPDS , pp. 2002
    • El Abdouni Khayari, R.1    Sadre, R.2    Haverkort, B.3
  • 13
    • 0032178081 scopus 로고    scopus 로고
    • Data networks as cascades: Investigating the multifractal nature of internet WAN traffic
    • A. Feldman, A. C. Gilbert, and W. Willinger. Data networks as cascades: Investigating the multifractal nature of internet WAN traffic. Computer communication review, 28/4:42–55, 1998.
    • (1998) Computer Communication Review , vol.28 , Issue.4 , pp. 42-55
    • Feldman, A.1    Gilbert, A.C.2    Willinger, W.3
  • 14
    • 0031701596 scopus 로고    scopus 로고
    • Fitting mixtures of exponentials to long-tail distributions to analyze network performance models
    • A. Feldman and W. Whitt. Fitting mixtures of exponentials to long-tail distributions to analyze network performance models. Performance Evaluation, 31:245–279, 1998.
    • (1998) Performance Evaluation , vol.31 , pp. 245-279
    • Feldman, A.1    Whitt, W.2
  • 15
    • 33749044955 scopus 로고
    • The Markov-modulated Poisson process (MMPP) cookbook
    • W. Fischer and K. Meier-Hellstern. The Markov-modulated Poisson process (MMPP) cookbook. Performance Evaluation, 18:149–171, 1992.
    • (1992) Performance Evaluation , vol.18 , pp. 149-171
    • Fischer, W.1    Meier-Hellstern, K.2
  • 16
    • 0026225958 scopus 로고
    • Local area network traffic characteristics, with implications for broadband network congestion management
    • H. J. Fowler and W. E. Leland. Local area network traffic characteristics, with implications for broadband network congestion management. IEEE JSAC, 9(7):1139–1149, 1991.
    • (1991) IEEE JSAC , vol.9 , Issue.7 , pp. 1139-1149
    • Fowler, H.J.1    Leland, W.E.2
  • 17
    • 0002188727 scopus 로고
    • Large sample properties of parameter estimates for strongly dependent stationary time series
    • R. Fox and M. S. Taqqu. Large sample properties of parameter estimates for strongly dependent stationary time series. The Annals of Statistics, 14:517–532, 1986.
    • (1986) The Annals of Statistics , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 18
    • 84986792205 scopus 로고
    • An introduction to long-memory time series and fractional differencing
    • C. W. J. Granger and R. Joyeux. An introduction to long-memory time series and fractional differencing. Journal of Time Series Analysis, 1:15–30, 1980.
    • (1980) Journal of Time Series Analysis , vol.1 , pp. 15-30
    • Granger, C.1    Joyeux, R.2
  • 19
    • 0022776078 scopus 로고
    • A Markov-modulated characterization of packetized voice and data traffic and related statistical multiplexer performance
    • H. Heffes and D. M. Lucantoni. A Markov-modulated characterization of packetized voice and data traffic and related statistical multiplexer performance. IEEE Journal on Selected Areas in Communications, 4(6):856–868, 1986.
    • (1986) IEEE Journal on Selected Areas in Communications , vol.4 , Issue.6 , pp. 856-868
    • Heffes, H.1    Lucantoni, D.M.2
  • 20
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • B. M. Hill. A simple general approach to inference about the tail of a distribution. The Annals of Statistics, 3:1163–1174, 1975.
    • (1975) The Annals of Statistics , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 23
    • 46749089882 scopus 로고    scopus 로고
    • A markovian point process exhibiting multifractal behaviour and its application to traffic modeling
    • Adelaide, Australia
    • A Horváth and M. Telek. A markovian point process exhibiting multifractal behaviour and its application to traffic modeling. In Proc. Of MAM4, Adelaide, Australia, 2002.
    • Proc. Of MAM4 , pp. 2002
    • Horváth, A.1    Telek, M.2
  • 25
    • 0000562848 scopus 로고    scopus 로고
    • The qq–estimator and heavy tails
    • M. Kratz and S. Resnick. The qq–estimator and heavy tails. Stochastic Models, 12:699–724, 1996.
    • (1996) Stochastic Models , vol.12 , pp. 699-724
    • Kratz, M.1    Resnick, S.2
  • 27
    • 0003653542 scopus 로고    scopus 로고
    • Introduction to Matrix-Analytic Methods in Stochastic Modeling. Series on statistics and applied probability
    • G. Latouche and V. Ramaswami. Introduction to Matrix-Analytic Methods in Stochastic Modeling. Series on statistics and applied probability. ASA-SIAM, 1999.
    • (1999) ASA-SIAM
    • Latouche, G.1    Ramaswami, V.2
  • 29
    • 84949755090 scopus 로고
    • New results on the single server queue with a batch Markovian arrival process. Commun
    • D. M. Lucantoni. New results on the single server queue with a batch Markovian arrival process. Commun. Statist.-Stochastic Models, 7(1):1–46, 1991.
    • (1991) Statist.-Stochastic Models , vol.7 , Issue.1 , pp. 1-46
    • Lucantoni, D.M.1
  • 30
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B. B. Mandelbrot and J. W. Van Ness. Fractional Brownian motions, fractional noises and applications. SIAM Review, 10:422–437, 1969.
    • (1969) SIAM Review , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 32
    • 0023366201 scopus 로고
    • A fitting algorithm for Markov-modulated Poisson processes having two arrival rates
    • K.S. Meier. A fitting algorithm for Markov-modulated Poisson processes having two arrival rates. European Journal of Operations Research, 29:370–377, 1987.
    • (1987) European Journal of Operations Research , vol.29 , pp. 370-377
    • Meier, K.S.1
  • 33
    • 0002542412 scopus 로고
    • Probability distributions of phase type
    • University of Louvain
    • M. Neuts. Probability distributions of phase type. In Liber Amicorum Prof. Emeritus H. Florin, pages 173–206. University of Louvain, 1975.
    • (1975) Liber Amicorum Prof. Emeritus H. Florin , pp. 173-206
    • Neuts, M.1
  • 36
    • 21344482808 scopus 로고
    • A storage model with self-similar imput
    • I. Norros. A storage model with self-similar imput. Queueing Systems, 16:387–396, 1994.
    • (1994) Queueing Systems , vol.16 , pp. 387-396
    • Norros, I.1
  • 37
    • 0029358766 scopus 로고
    • On the use of fractional brownian motion in the theorem of connectionless networks
    • I. Norros. On the use of fractional brownian motion in the theorem of connectionless networks. IEEE Journal on Selected Areas in Communications, 13:953–962, 1995.
    • (1995) IEEE Journal on Selected Areas in Communications , vol.13 , pp. 953-962
    • Norros, I.1
  • 38
    • 0012239875 scopus 로고    scopus 로고
    • Modeling and evaluation of pseudo self-similar traffic with infinite-state stochastic petri nets
    • Zaragoza, Spain
    • A. Ost and B. Haverkort. Modeling and evaluation of pseudo self-similar traffic with infinite-state stochastic petri nets. In Proc. Of the Workshop on Formal Methods in Telecommunications, pages 120–136, Zaragoza, Spain, 1999.
    • (1999) Proc. Of the Workshop on Formal Methods in Telecommunications , pp. 120-136
    • Ost, A.1    Haverkort, B.2
  • 39
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data
    • S. Resnick. Heavy tail modeling and teletraffic data. The Annals of Statistics, 25:1805–1869, 1997.
    • (1997) The Annals of Statistics , vol.25 , pp. 1805-1869
    • Resnick, S.1
  • 41
    • 0003516768 scopus 로고
    • Mathematical Statistics and Data Analysis
    • Pacific Grove, California
    • J. Rice. Mathematical Statistics and Data Analysis. Brooks/Cole Publishing, Pacific Grove, California, 1988.
    • (1988) Brooks/Cole Publishing
    • Rice, J.1
  • 42
    • 0004208686 scopus 로고    scopus 로고
    • Technical report, Rice University
    • R. H. Riedi. An introduction to multifractals. Technical report, Rice University, 1997. Available at http://www.ece.rice.edu/˜riedi.
    • (1997) An Introduction to Multifractals
    • Riedi, R.H.1
  • 44
    • 0031185405 scopus 로고    scopus 로고
    • New models for pseudo self-similar traffic
    • S. Robert and J.-Y. Le Boudec. New models for pseudo self-similar traffic. Performance Evaluation, 30:1997, 57-68.
    • (1997) Performance Evaluation , vol.30 , pp. 57-68
    • Robert, S.1    Le Boudec, J.-Y.2
  • 46
    • 0001455583 scopus 로고
    • Parameter estimation for Markov Modulated Poisson Processes
    • T. Rydèn. Parameter estimation for Markov Modulated Poisson Processes. Stochastic Models, 10(4):795–829, 1994.
    • (1994) Stochastic Models , vol.10 , Issue.4 , pp. 795-829
    • Rydèn, T.1
  • 47
    • 0029730756 scopus 로고    scopus 로고
    • Algorithm for estimation in Markov modulated Poisson processes
    • T. Ryden. An EM algorithm for estimation in Markov modulated Poisson processes. Computational statist. And data analysis, 21:431–447, 1996.
    • (1996) Computational Statist. And Data Analysis , vol.21 , pp. 431-447
    • Ryden, T.1    An, E.M.2
  • 48
    • 0141667843 scopus 로고    scopus 로고
    • Estimating the order of continuous phase-type distributions and markovmodulated poisson processes
    • T. Rydèn. Estimating the order of continuous phase-type distributions and markovmodulated poisson processes. Stochastic Models, 13:417–433, 1997.
    • (1997) Stochastic Models , vol.13 , pp. 417-433
    • Rydèn, T.1
  • 49
    • 0000342798 scopus 로고    scopus 로고
    • Point process models for self-similar network traffic, with applications
    • B. Ryu and S. B. Lowen. Point process models for self-similar network traffic, with applications. Stochastic models, 14, 1998.
    • (1998) Stochastic Models , pp. 14
    • Ryu, B.1    Lowen, S.B.2
  • 50
    • 84957052293 scopus 로고    scopus 로고
    • Moment bounds for acyclic discrete and continuous phase-type distributions of second order
    • UKPEW), Glasgow, UK
    • M. Telek and A. Heindl. Moment bounds for acyclic discrete and continuous phase-type distributions of second order. In in proc. Of Eighteenth Annual UK Performance Engineering Workshop (UKPEW), Glasgow, UK, 2002.
    • In Proc. Of Eighteenth Annual UK Performance Engineering Workshop , pp. 2002
    • Telek, M.1    Heindl, A.2
  • 51
    • 0002710645 scopus 로고    scopus 로고
    • Fractional brownian motion and data traffic modeling: The other end of the spectrum
    • C. Tricot J. Lèvy Vèhel, E. Lutton, editor, Springer
    • J. Lèvy Vèhel and R. H. Riedi. Fractional brownian motion and data traffic modeling: The other end of the spectrum. In C. Tricot J. Lèvy Vèhel, E. Lutton, editor, Fractals in Engineering, pages 185–202. Springer, 1997.
    • (1997) Fractals in Engineering , pp. 185-202
    • Lèvy Vèhel, J.1    Riedi, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.