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Volumn 67, Issue 2, 2010, Pages 61-79

Trace data characterization and fitting for Markov modeling

Author keywords

Correlations; Fitting algorithm; Markovian arrival process; Temporal dependence; Time series modeling

Indexed keywords

ARBITRARY NUMBER; BELLCORE; COEFFICIENT OF VARIATION; COUNTING PROCESS; DATA TRACES; DESCRIPTORS; DISK DRIVE; FITTING ALGORITHMS; FITTING METHOD; FITTING TECHNIQUES; HIGHER ORDER; INTER-ARRIVAL TIME; KRONECKER PRODUCT; MARKOV MODELING; MARKOVIAN ARRIVAL PROCESS; NON-LINEAR OPTIMIZATION; NUMERICAL RESULTS; PERFORMANCE EVALUATION; PREDICTION ACCURACY; REAL TRAFFIC; SEAGATE; SECOND ORDERS; STATISTICAL PROPERTIES; TEMPORAL DEPENDENCE; TIME SERIES MODELING; TRACE DATA;

EID: 70549101150     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2009.09.003     Document Type: Article
Times cited : (60)

References (43)
  • 2
    • 0032097724 scopus 로고    scopus 로고
    • A Markovian approach for modeling packet traffic with long-range dependence
    • Andersen A.T., and Nielsen B.F. A Markovian approach for modeling packet traffic with long-range dependence. IEEE J. Sel. Areas Commun. 16 5 (1998) 719-732
    • (1998) IEEE J. Sel. Areas Commun. , vol.16 , Issue.5 , pp. 719-732
    • Andersen, A.T.1    Nielsen, B.F.2
  • 3
    • 0030261501 scopus 로고    scopus 로고
    • On the relevance of long-range dependence in network traffic
    • M. Grossglauser, J.C. Bolot, On the relevance of long-range dependence in network traffic, in: Proc. of SIGCOMM Conf., 1996, pp. 15-24
    • (1996) Proc. of SIGCOMM Conf , pp. 15-24
    • Grossglauser, M.1    Bolot, J.C.2
  • 4
    • 70549088292 scopus 로고    scopus 로고
    • A.W. Berger, On the index of dispersion for counts for user demand modeling, in: ITU, Madrid, Spain, AT&T Study Group 2, Question 17/2, June 27-29, 1994
    • A.W. Berger, On the index of dispersion for counts for user demand modeling, in: ITU, Madrid, Spain, AT&T Study Group 2, Question 17/2, June 27-29, 1994
  • 5
    • 0035198870 scopus 로고    scopus 로고
    • Connection-wise end-to-end performance analysis of queueing networks with MMPP inputs
    • Ferng H.W., and Chang J.F. Connection-wise end-to-end performance analysis of queueing networks with MMPP inputs. Perf. Eval. 43 1 (2001) 39-62
    • (2001) Perf. Eval. , vol.43 , Issue.1 , pp. 39-62
    • Ferng, H.W.1    Chang, J.F.2
  • 6
    • 0036529614 scopus 로고    scopus 로고
    • An application of Markovian arrival process (MAP) to modeling superposed ATM cell streams
    • Kang S.H., Yong H.K., Sung D.K., and Choi B.D. An application of Markovian arrival process (MAP) to modeling superposed ATM cell streams. IEEE Trans. Commun. 50 4 (2002) 633-642
    • (2002) IEEE Trans. Commun. , vol.50 , Issue.4 , pp. 633-642
    • Kang, S.H.1    Yong, H.K.2    Sung, D.K.3    Choi, B.D.4
  • 7
    • 70549094495 scopus 로고    scopus 로고
    • Analytic moment and correlation matching for MAP(2)s
    • A. Heindl, Analytic moment and correlation matching for MAP(2)s, in: Proc. of PMCCS Workshop, 2003, pp. 39-42
    • (2003) Proc. of PMCCS Workshop , pp. 39-42
    • Heindl, A.1
  • 8
    • 33645890859 scopus 로고    scopus 로고
    • Correlation bounds for second-order MAPs with application to queueing network decomposition
    • Heindl A., Mitchell K., and van de Liefvoort A. Correlation bounds for second-order MAPs with application to queueing network decomposition. Perf. Eval. 63 6 (2006) 553-577
    • (2006) Perf. Eval. , vol.63 , Issue.6 , pp. 553-577
    • Heindl, A.1    Mitchell, K.2    van de Liefvoort, A.3
  • 9
    • 41749104465 scopus 로고    scopus 로고
    • A Markovian canonical form of second-order matrix-exponential processes
    • Bodrog L., Heindl A., Horváth G., and Telek M. A Markovian canonical form of second-order matrix-exponential processes. European J. Oper. Res. 190 (2008) 457-477
    • (2008) European J. Oper. Res. , vol.190 , pp. 457-477
    • Bodrog, L.1    Heindl, A.2    Horváth, G.3    Telek, M.4
  • 11
    • 0030502888 scopus 로고    scopus 로고
    • Fitting phase-type distributions via the EM algorithm
    • Asmussen S., Nerman O., and Olsson M. Fitting phase-type distributions via the EM algorithm. Scand. J. Statist. 23 (1996) 419-441
    • (1996) Scand. J. Statist. , vol.23 , pp. 419-441
    • Asmussen, S.1    Nerman, O.2    Olsson, M.3
  • 12
    • 0034343603 scopus 로고    scopus 로고
    • On approximating higher-order MAPs with MAPs of order two
    • Diamond J.E., and Alfa A.S. On approximating higher-order MAPs with MAPs of order two. Queueing Syst. 34 (2000) 269-288
    • (2000) Queueing Syst. , vol.34 , pp. 269-288
    • Diamond, J.E.1    Alfa, A.S.2
  • 13
    • 0029730756 scopus 로고    scopus 로고
    • An EM algorithm for estimation in Markov-modulated Poisson processes
    • Ryden T. An EM algorithm for estimation in Markov-modulated Poisson processes. Comput. Statist. Data Anal. 21 4 (1996) 431-447
    • (1996) Comput. Statist. Data Anal. , vol.21 , Issue.4 , pp. 431-447
    • Ryden, T.1
  • 14
    • 0022776078 scopus 로고
    • A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance
    • Heffes H., and Lucantoni D.M. A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance. IEEE J. Sel. Areas Commun. 4 (1986) 856-868
    • (1986) IEEE J. Sel. Areas Commun. , vol.4 , pp. 856-868
    • Heffes, H.1    Lucantoni, D.M.2
  • 15
    • 70549108273 scopus 로고    scopus 로고
    • The internet traffic archive, Nov. 2005 release http://ita.ee.lbl.gov
    • The internet traffic archive, Nov. 2005 release http://ita.ee.lbl.gov
  • 17
    • 84957077505 scopus 로고    scopus 로고
    • Markovian modeling of real data traffic: Heuristic phase type and MAP fitting of heavy tailed and fractal like samples
    • Performance Evaluation of Complex Systems: Techniques and Tools, IFIP Performance 2002
    • Horváth A., and Telek M. Markovian modeling of real data traffic: Heuristic phase type and MAP fitting of heavy tailed and fractal like samples. Performance Evaluation of Complex Systems: Techniques and Tools, IFIP Performance 2002. LNCS Tutorial Series vol. 2459 (2002) 405-434
    • (2002) LNCS Tutorial Series , vol.2459 , pp. 405-434
    • Horváth, A.1    Telek, M.2
  • 19
    • 0003278979 scopus 로고    scopus 로고
    • Is network traffic self-similar or multifractal?
    • Taqqu M.S., Teverovsky V., and Willinger W. Is network traffic self-similar or multifractal?. Fractals 63 5 (1997) 833-846
    • (1997) Fractals , vol.63 , Issue.5 , pp. 833-846
    • Taqqu, M.S.1    Teverovsky, V.2    Willinger, W.3
  • 20
    • 33746370622 scopus 로고    scopus 로고
    • A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation
    • QEST
    • G. Horváth, P. Buchholz, M. Telek, A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation, in: Proc. of 2nd Conf. on Quantitative Evaluation of Systems, QEST, 2005, pp. 124-133
    • (2005) Proc. of 2nd Conf. on Quantitative Evaluation of Systems , pp. 124-133
    • Horváth, G.1    Buchholz, P.2    Telek, M.3
  • 23
    • 0346055353 scopus 로고    scopus 로고
    • Modeling multiple IP traffic streams with rate limits
    • Heyman D.P., and Lucantoni D. Modeling multiple IP traffic streams with rate limits. IEEE/ACM Trans. Netw. 11 6 (2003) 948-958
    • (2003) IEEE/ACM Trans. Netw. , vol.11 , Issue.6 , pp. 948-958
    • Heyman, D.P.1    Lucantoni, D.2
  • 25
    • 17444382323 scopus 로고    scopus 로고
    • On the counting process for a class of Markovian arrival processes with an application to a queueing system
    • Kawanishi K. On the counting process for a class of Markovian arrival processes with an application to a queueing system. Queueing Syst. 49 2 (2005) 93-122
    • (2005) Queueing Syst. , vol.49 , Issue.2 , pp. 93-122
    • Kawanishi, K.1
  • 26
    • 0027816706 scopus 로고
    • Queue response to input correlation functions: Continuous spectral analysis
    • Li S., and Hwang C. Queue response to input correlation functions: Continuous spectral analysis. IEEE/ACM Trans. Netw. 1 6 (1993) 678-692
    • (1993) IEEE/ACM Trans. Netw. , vol.1 , Issue.6 , pp. 678-692
    • Li, S.1    Hwang, C.2
  • 27
    • 0032182466 scopus 로고    scopus 로고
    • On variations of queue response for inputs with the same mean and autocorrelation function
    • Hajek B., and He L. On variations of queue response for inputs with the same mean and autocorrelation function. IEEE/ACM Trans. Netw. 6 5 (1998) 588-598
    • (1998) IEEE/ACM Trans. Netw. , vol.6 , Issue.5 , pp. 588-598
    • Hajek, B.1    He, L.2
  • 28
    • 0036605206 scopus 로고    scopus 로고
    • On the use of second-order descriptors to predict queueing behavior of MAPs
    • Andersen A.T., and Nielsen B.F. On the use of second-order descriptors to predict queueing behavior of MAPs. Naval Res. Logistics 49 4 (2002) 391-409
    • (2002) Naval Res. Logistics , vol.49 , Issue.4 , pp. 391-409
    • Andersen, A.T.1    Nielsen, B.F.2
  • 30
    • 70549091451 scopus 로고    scopus 로고
    • L. Bodrog, A. Heindl, G. Horváth, M. Telek, A. Horváth, Current results and open questions on PH and MAP characterization, in: Dagstuhl Seminar Proceedings 07461, Schloss Dagstuhl, Germany 2008
    • L. Bodrog, A. Heindl, G. Horváth, M. Telek, A. Horváth, Current results and open questions on PH and MAP characterization, in: Dagstuhl Seminar Proceedings 07461, Schloss Dagstuhl, Germany 2008
  • 31
    • 0036432666 scopus 로고    scopus 로고
    • An EM algorithm for batch markovian arrival processes and its comparison to a simpler estimation procedure
    • Breuer L. An EM algorithm for batch markovian arrival processes and its comparison to a simpler estimation procedure. Ann. Oper. Res. 112 1-4 (2002) 123-138
    • (2002) Ann. Oper. Res. , vol.112 , Issue.1-4 , pp. 123-138
    • Breuer, L.1
  • 32
    • 33847315296 scopus 로고    scopus 로고
    • A two-step EM algorithm for MAP fitting
    • Proc. of ISCIS, Springer
    • Buchholz P., and Panchenko A. A two-step EM algorithm for MAP fitting. Proc. of ISCIS. LNCS Tutorial Series vol. 3280 (2004), Springer 217-227
    • (2004) LNCS Tutorial Series , vol.3280 , pp. 217-227
    • Buchholz, P.1    Panchenko, A.2
  • 33
    • 0242443261 scopus 로고    scopus 로고
    • An EM-based technique for approximating long-tailed data sets with PH distributions
    • Riska A., Diev V., and Smirni E. An EM-based technique for approximating long-tailed data sets with PH distributions. Perf. Eval. 55 1-2 (2004) 147-1674
    • (2004) Perf. Eval. , vol.55 , Issue.1-2 , pp. 147-1674
    • Riska, A.1    Diev, V.2    Smirni, E.3
  • 34
    • 41149179234 scopus 로고    scopus 로고
    • Long-range dependence at the disk drive level
    • IEEE Press
    • Riska A., and Riedel E. Long-range dependence at the disk drive level. QEST 2006 Conference (2006), IEEE Press 41-50
    • (2006) QEST 2006 Conference , pp. 41-50
    • Riska, A.1    Riedel, E.2
  • 36
    • 34548124666 scopus 로고    scopus 로고
    • A minimal representation of Markov arrival processes and a moments matching method
    • Telek M., and Horváth G. A minimal representation of Markov arrival processes and a moments matching method. Perf. Eval. 64 9-12 (2007) 1153-1168
    • (2007) Perf. Eval. , vol.64 , Issue.9-12 , pp. 1153-1168
    • Telek, M.1    Horváth, G.2
  • 39
    • 58049118033 scopus 로고    scopus 로고
    • Interarrival times characterization and fitting for Markovian traffic analysis
    • Technical Report WM-CS-2008-02, available at, College of William and Mary
    • G. Casale, E.Z. Zhang, E. Smirni, Interarrival times characterization and fitting for Markovian traffic analysis, Technical Report WM-CS-2008-02, available at http://www.wm.edu/as/computerscience/documents/cstechreports/WM-CS-2008- 02.pdf, College of William and Mary, 2008
    • (2008)
    • Casale, G.1    Zhang, E.Z.2    Smirni, E.3
  • 40
    • 0018011435 scopus 로고
    • Kronecker products and matrix calculus in system theory
    • Brewer J.W. Kronecker products and matrix calculus in system theory. IEEE Trans. Circuits Sys. 25 9 (1978)
    • (1978) IEEE Trans. Circuits Sys. , vol.25 , Issue.9
    • Brewer, J.W.1
  • 41
    • 0031383638 scopus 로고    scopus 로고
    • Fast algorithms for measurement-based traffic modeling
    • H. Che, S. Li, Fast algorithms for measurement-based traffic modeling, in: Proc. of INFOCOM Conf., 1997, pp. 177-186
    • (1997) Proc. of INFOCOM Conf , pp. 177-186
    • Che, H.1    Li, S.2
  • 42
    • 0022780505 scopus 로고
    • Characterizing superposition arrival processes in packet multiplexers for voice and data
    • Sriram K., and Whitt W. Characterizing superposition arrival processes in packet multiplexers for voice and data. IEEE J. Sel. Areas Commun. 4 6 (1986) 833-846
    • (1986) IEEE J. Sel. Areas Commun. , vol.4 , Issue.6 , pp. 833-846
    • Sriram, K.1    Whitt, W.2
  • 43
    • 84949755090 scopus 로고
    • New results on the single server queue with a batch Markovian arrival process
    • Lucantoni D.M. New results on the single server queue with a batch Markovian arrival process. Stoch. Models 7 (1991) 1-46
    • (1991) Stoch. Models , vol.7 , pp. 1-46
    • Lucantoni, D.M.1


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