|Table of Contents|

[1] Ji Qijin,. On approximating multifractal traffic burstinesswith Markov modulated Poisson processes [J]. Journal of Southeast University (English Edition), 2004, 20 (4): 436-441. [doi:10.3969/j.issn.1003-7985.2004.04.009]
Copy

On approximating multifractal traffic burstinesswith Markov modulated Poisson processes()
Share:

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
20
Issue:
2004 4
Page:
436-441
Research Field:
Computer Science and Engineering
Publishing date:
2004-12-30

Info

Title:
On approximating multifractal traffic burstinesswith Markov modulated Poisson processes
Author(s):
Ji Qijin
Key Laboratory of Computer Network and Information Integration of Ministry of Education, Southeast University, Nanjing 210096, China
Keywords:
multifractal traffic Markov modulated Poisson processes queueing delay packet loss rate
PACS:
TP393
DOI:
10.3969/j.issn.1003-7985.2004.04.009
Abstract:
We investigate the approximating capability of Markov modulated Poisson processes(MMPP)for modeling multifractal Internet traffic. The choice of MMPP is motivated by its ability to capture the variability and correlation in moderate time scales while being analytically tractable. Important statistics of traffic burstiness are described and a customized moment-based fitting procedure of MMPP to traffic traces is presented. Our methodology of doing this is to examine whether the MMPP can be used to predict the performance of a queue to which MMPP sample paths and measured traffic traces are fed for comparison respectively, in addition to the goodness-of-fit test of MMPP. Numerical results and simulations show that the fitted MMPP can approximate multifractal traffic quite well, i.e. accurately predict the queueing performance.

References:

[1] Leland W E, Taqqu M S, Willinger W, et al. On the self-similar nature of Ethernet traffic(extended version)[J]. IEEE/ACM Trans on Networking, 1994, 2(1): 1-16.
[2] Cappe O, Moulines E, Pesquet J C, et al. Long-range dependence and heavy-tail modeling for teletraffic data [J]. IEEE Signal Processing Magazine, 2002, 19(3): 14-27.
[3] Feldmann A, Gilbert A C, Willinger W. Data networks as cascades: investigating the multifractal nature of Internet WAN traffic [A]. In: Proc ACM SIGCOMM’98 [C]. Vancouver, Canada, 1998. 42-66.
[4] Riedi R H, Crouse M S, Ribeiro V, et al. A multifractal wavelet model with application to network traffic [J]. IEEE Trans on Information Theory, 1999, 46(3): 992-1018.
[5] Riedi R H, Willinger W. Toward an improved understanding of network traffic dynamics [A]. In: Park K, Willinger W, eds. Self-Similar Network Traffic and Performance Evaluation [C]. New York: Wiley, 2000. 507-530.
[6] Abry P, Baraniuk R, Flandrin P, et al. Multiscale nature of network traffic [J]. IEEE Signal Processing Magazine, 2002, 19(3): 28-46.
[7] Norros I. A storage model with self-similar input [J]. Queueing Systems, 1994, 16(2): 382-396.
[8] Erramilli A, Narayan O, Willinger W. Experimental queueing analysis with long-range dependent packet traffic [J]. IEEE/ACM Trans on Networking, 1996, 4(2): 209-223.
[9] Park K, Kim G, Crovella M. On the effect of traffic self-similarity on network performance [A]. In: Proc SPIE Int’l Conf Perf and Control of Network System [C]. Dallas, USA, 1997. 296-310.
[10] Grossglauser M, Bolot J C. On the relevance of long-range dependence in network traffic [A]. In: Proc ACM SIGCOM’96 [C]. Stanford University, 1996. 15-24.
[11] Ryu B K, Elwalid A, The importance of long-range dependence of VBR video traffic in ATM traffic engineering: myths and realities [A]. In: Proc ACM SIGCOM’96 [C]. Stanford University, 1996. 3-14.
[12] Heyman D P, Lakshman T V. What are the implications of long-range dependence for VBR-video traffic engineering? [J]. IEEE/ACM Trans on Networking, 1996, 4(3): 301-317.
[13] Erramilli A, Narayan O, Neidhardt A, et al. Performance impacts of multi-scaling in wide area TCP/IP traffic [A]. In: Proc of IEEE INFOCOM’00 [C]. Israel, 2000, 1: 362-369.
[14] Heffes H, Lucantoni D. A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance [J]. IEEE Journal on Selected Areas in Comm, 1986, 4(6): 856-868.
[15] Gusella R. Characterizing the variability of arrival processes with indexes of dispersion [J]. IEEE Journal on Selected Areas in Comm, 1991, 9(2): 203-211.
[16] Fischer W, Meier-Hellstern K S. The Markov-modulated Poisson process(MMPP)cookbook [J]. Performance Evaluation, 1993, 18(2): 149-171.
[17] Kang S H, Kim Y H, Sung D K, et al. An application of Markovian arrival process(MAP)to modeling superposed ATM cell streams [J]. IEEE Trans on Communications, 2002, 50(4): 633-642.
[18] Akar N, Oguz N C, Sohraby K. TELPACK: an advanced teletraffic analysis package [J]. IEEE Comm Magazine, 1998, 36(8): 84-87.
[19] Cox D R, Lewis P A. Statistical analysis of series of events [M]. London: Methuen, 1966.
[20] Geist R M, Westall J M. Correlational and distributional effects in network traffic models [J]. Performance Evaluation, 2001, 44(1): 121-138.
[21] Auckland Ⅱ trace 20000125-143640 [EB/OL].http: //pma.nlanr.net/Traces/long/auck2.html. 2004-04-26.
[22] Ribeiro V J, Riedi R H, Crouse M S, et al. Multiscale queueing analysis of long-range-dependent network traffic [A]. In: Proc IEEE INFOCOM’00 [C]. Israel, 2000, 2: 1026-1035.
[23] NS2, network simulation 2 [EB/OL].http: //www.isi.edu/nsnam/ns/. 2004-04-26.

Memo

Memo:
Biography: Ji Qijin(1974—), male, graduate, andyji@seu.edu.cn.
Last Update: 2004-12-20