Journal of Communications and Networks

  • 제17권5호
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  • Pages.534-540
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  • 2015
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  • 1229-2370(pISSN)
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  • 1976-5541(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지

Novel Approach to Analytical Jitter Modeling

  • Huremovic, Adnan (BH Telecom Sarajevo and Faculty of Electrical Engineering, University of Sarajevo) ;
  • Hadzialic, Mesud (Faculty of Electrical Engineering, University of Sarajevo)
  • 투고 : 2014.07.12
  • 심사 : 2015.03.01
  • 발행 : 2015.10.31
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we propose an analytical model for jitter, wherein we implement the interrupted Poisson process (IPP) for incoming traffic. First, we obtain an analytical model for the jitter on one node with respect to the phase probabilities, traffic load, and tagged traffic share in the aggregate traffic flow. Then, we analyze N-node cases, and propose a model for end-to-end jitter. Our analysis leads to some fast-to-compute approximations that can be used for future network design or admission control. Finally, we validate our analytical results by comparing them with previous results for limit cases, as well as with event-driven simulations. We propose the use of our results as guidelines for jitter evaluation of real IP traffic.

키워드

참고문헌

  1. W. Fischer and K. S. Meier-Hellstern, "The Markov-modulated Poisson process (MMPP) cookbook," Perform. Eval., vol. 18, no. 2, pp. 149-171, 1993. https://doi.org/10.1016/0166-5316(93)90035-S
  2. C. A. Fulton and S. qi Li, "Delay jitter first-order and second-order statistical functions of general traffic on high-speed multimedia networks," IEEE/ACM Trans. Netw., vol. 6, no. 2, pp. 150-163, 1998. https://doi.org/10.1109/90.664264
  3. K. Sohraby and A. Privalov, "End-to-end jitter analyisis in networks of periodic flows," in Proc. INFOCOM, 1999, pp. 575-583.
  4. O. Brun, C. Bockstal, and J.-M. Garcia, "Analytic approximation of the jitter incurred by CBR traffics in IP networks," Telecommun. Syst., vol. 33, no. 1-3, pp. 23-45, 2006. https://doi.org/10.1007/s11235-006-9005-1
  5. H. Dahmouni, A. Girard, and B. Sanso, "An analytical model for jitter in IP networks," Annales des Telecommunications, vol. 67, no. 1-2, pp. 81-90, 2012. https://doi.org/10.1007/s12243-011-0254-y
  6. R. Landry and I. Stavrakakis, "Study of delay jitter with and without peak rate enforcement," IEEE/ACM Trans. Netw., vol. 5, no. 4, pp. 543-553, 1997. https://doi.org/10.1109/90.649512
  7. G. Geleji and H. Perros, "Jitter analysis of an IPP tagged traffic stream in an {IPP,M}/M/1 queue," Annals of Telecommunications, pp. 1-12, 2013.
  8. C. Demichelis and P. Chimento, "IP packet delay variation metric for IP performance metrics (IPPM)," RFC 3393 (Proposed Standard), Internet Engineering Task Force, Nov. 2002.
  9. I. D. E. Ichiro, "Superposition of interrupted poisson processes and its application to packetized voice multiplexers," Teletraffic Science IT C-12, pp. 1399-1405, 1989.
  10. L. A. Kulkarni and S. qi Li, "Transient behaviour of queueing systems with correlated traffic," Perform. Eval., vol. 27/28, no. 4, pp. 117-145, 1996. https://doi.org/10.1016/S0166-5316(96)90023-1
  11. J. Abate and W. Whitt "The correlation functions of RBM and M/M/1," Communications in Statistics, 1998.
  12. M. Roughan, "A Comparison of Poisson and uniform sampling for active measurements," IEEE J. Sel. Areas Commun., vol. 24, no. 12, pp. 2299-2312, 2006. https://doi.org/10.1109/JSAC.2006.884028