Skip to main content
Log in

Analytical MMAP-Based Bounds for Packet Loss in Optical Packet Switching with Recirculating FDL Buffers

  • Published:
Photonic Network Communications Aims and scope Submit manuscript

Abstract

The major goal of optical packet switching (OPS) is to match switching technology to the huge capacities provided by (D)WDM. A crucial issue in packet switched networks is the avoidance of packet losses stemming from contention. In OPS, contention can be solved using a combination of exploitation of the wavelength domain (through wavelength conversion) and buffering. To provide optical buffering, fiber delay lines (FDLs) are used. In this paper, we focus on an optical packet switch with recirculating FDL buffers and wavelength converters. We introduce the Markovian arrival process with marked transitions (MMAP), which has very desirable properties as a traffic model for OPS performance assessment. Using this model, we determine lower and upper bounds for the packet loss rate (PLR) achieved by the aforementioned switch. The calculation of the PLR bounds through matrix analytical methods is repeated for a wide range of traffic conditions, including highly non-uniform traffic, both in space (i.e., packet destinations) and time (bursty traffic). The quality of these bounds is verified through comparison with simulation results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Mukherjee, WDM optical communication networks: Progress and challenges, IEEE Journal on Selected Areas in Communications, vol. 18, no. 10, (Oct. 2000), pp. 1810-1824.

    Google Scholar 

  2. D. Colle, et al., Data-centric optical networks and their survivability, IEEE Journal on Selected Areas in Communications, vol. 20, no. 1, (Jan. 2002), pp. 6-20.

    Google Scholar 

  3. S. Yao, B. Mukherjee, S. Dixit, Advances in photonic packet switching: An overview, IEEE Communications Magazine, vol. 38, no. 1, (Jan. 2000), pp. 84-94.

    Google Scholar 

  4. D. K. Hunter, I. Andonovic, Approaches to optical internet packet switching, IEEE Communications Magazine, vol. 38, no. 9, (Sept. 2000), pp. 116-120.

    Google Scholar 

  5. A. Hill, F. Neri, guest, eds., Optical switching networks: from circuits to packets, IEEE Communications Magazine, vol. 39, no. 3, (March 2001), pp. 107-148.

  6. C. Develder, et al., Node architectures for optical packet and burst switching, Tech. Digest of PS2002, (Cheju Island, Korea, 21–25 July 2002), pp. 104-106.

  7. C. Qiao, M. Yoo, Optical burst switching (OBS)—3-A new paradigm for an optical internet, Journal of High Speed Networks, vol. 8, no. 1, (Jan. 1999), pp. 69-84.

    Google Scholar 

  8. C. Qiao, Labeled optical burst switching for IP-over-WDM integration, IEEE Communications Magazine, vol. 38, no. 9, (Sept. 2000), pp. 104-114.

    Google Scholar 

  9. D. K. Hunter, et al., WASPNET—3-A wavelength switched packet network, IEEE Communications Magazine, vol. 37, no. 3, (March 1999), pp. 120-129.

    Google Scholar 

  10. D. K. Hunter, M. C. Chia, I. Andonovic, Buffering in optical packet switches, IEEE/OSA Journal of Lightwave Technology, vol. 16, no. 12, (Dec. 1998), pp. 2081-2094.

    Google Scholar 

  11. S. Yao, B. Mukherjee, S. J. Ben Yoo, S. Dixit, All-optical packet-switched networks: A study of contention-resolution schemes in an irregular mesh network with variable-sized packets, Proc. of OPTICOMM 2000, SPIE vol. 4233, (Plano, TX, Oct. 2000), pp. 235-246.

    Google Scholar 

  12. H. Zang, J. P. Jue, B. Mukherjee, Capacity allocation and contention resolution in a photonic slot routing all-optical WDM mesh network, IEEE/OSA Journal of Lightwave Technology, vol. 18, no. 12, (Dec. 2000), pp. 1728-1741.

    Google Scholar 

  13. L. Dittmann, et al., The European IST project DAVID: A viable approach towards optical packet switching, IEEE Journal on Selected Areas in Communications, vol. 21, no. 7, (Sept. 2003), pp. 1026-1040.

    Google Scholar 

  14. D. Chiaroni, et al., First demonstration of an asynchronous optical packet switching matrix prototype for multiterabitclass routers/switches, Proc. 27th European Conference on Optical Communication—3-ECOC2001, vol. 6, (Amsterdam, The Netherlands, 30 Sept.–3 Oct. 2001), pp. 60-61.

    Google Scholar 

  15. J. Cheyns, et al., Routing in an AWG-based optical packet switch, Photonic Network Communications, vol. 5, no. 1, (Jan. 2003), pp. 69-80.

    Google Scholar 

  16. C. Develder, M. Pickavet, P. Demeester, Choosing an appropriate buffer strategy for an optical packet switch with a feed-back FDL buffer, Proc. 28th European Conference on Optical Communication—3-ECOC2002, vol. 3, (Copenhague, Denmark, 8–12 Sept. 2002), pp. 8.5.4.

    Google Scholar 

  17. C. Develder, M. Pickavet, P. Demeester, Strategies for an FDL based feed-back buffer for an optical packet switch with QoS differentiation, Proc. of International Conference on Optical InterNet—3-COIN2002 (Cheju Island, Korea, 21–25 July 2002), pp. 114-116.

  18. Q. He, M. F. Neuts, Markov chains with marked transitions, Stochastic Processes and their Applications, vol. 74, (1998), pp. 37-52.

    Google Scholar 

  19. Q. He, Queues with marked customers, Adv. Appl. Prob., vol. 28, (1996), pp. 567-587.

    Google Scholar 

  20. M. Conti, S. Ghezzi, E. Gregori, Aggregation of Markovian Sources: Approximations with Error Control, Networking 2000 (Paris, France, 14–19 May), pp. 350-361.

  21. L. Breuer, An EM algorithm for Batch Markovian Arrival Processes and its comparison to a simpler estimation procedure, Annals of Operations Research, vol. 112, (2002), pp. 123-138.

    Google Scholar 

  22. J. Liu, N. Ansari, Class-based dynamic buffer allocation for optical burst switching networks, Proc. Workshop on High Performance Switching and Routing—3-HPSR 2002 (Kobe, Japan, 26–29 May 2002), pp. 295-299.

  23. K. Pawlikowski, H.-D. J. Jeong, J.-S. R. Lee, On credibility of simulation studies of telecommunication studies, IEEE Communications Magazine, vol. 40, no. 1, (Jan. 2002), pp. 132-139.

    Google Scholar 

  24. M. Matsumoto, T. Nishimura, Mersenne-twister: A 623-dimensionally equidistributed uniform pseudo-random number generator, ACM Transactions on Modeling and Computer Simulation, vol. 8, no. 1, (Jan. 1998), pp. 3-30.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Develder, C., Houdt, B.V., Blondia, C. et al. Analytical MMAP-Based Bounds for Packet Loss in Optical Packet Switching with Recirculating FDL Buffers. Photonic Network Communications 8, 149–161 (2004). https://doi.org/10.1023/B:PNET.0000033975.88406.28

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:PNET.0000033975.88406.28

Navigation