Telecommunication Systems

, Volume 41, Issue 1, pp 37–49 | Cite as

Wavelength allocation in an optical switch with a fiber delay line buffer and limited-range wavelength conversion

  • Juan F. Pérez
  • Benny Van Houdt


This paper presents an approach to evaluate the performance of an optical switch equipped with both limited-range wavelength conversion and Fiber Delay Lines to resolve contention. We propose an analytical model that allows a general behavior for the packet size distribution while the inter-arrival times are assumed to be of Phase-Type and can easily be relaxed to be generally distributed if needed. As the set of reachable wavelengths is a major issue in limited-range wavelength conversion, we first focus on a simple wavelength set configuration that allows the comparison of different policies and their effect on the loss rate of the system. In addition, a linear association between the loss rate of the simple and a more complex set configuration is identified. Using this association and the results from the analytical model, we derive an approximation for the more complex case, where the interactions among adjacent wavelengths play an important role. The approximation works well for different parameter instances and is particularly useful for the mid load case, when simulations become computationally prohibitive.


Optical switching Fiber delay lines Limited-range wavelength conversion Performance evaluation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Akar, N., Karasan, E., & Dogan, K. (2006). Wavelength converter sharing in asynchronous optical packet/burst switching: an exact blocking analysis for Markovian arrivals. IEEE Journal on Selected Areas in Communications, 24, 69–80. CrossRefGoogle Scholar
  2. 2.
    Akar, N., Karasan, E., Muretto, G., & Raffaelli, C. (2007). Performance analysis of an optical packet switch employing full/limited range share per node wavelength conversion. In Proceedings of IEEE Globecom 2007. Google Scholar
  3. 3.
    Callegati, F., Cerroni, W., Corazza, G., Develder, C., Pickavet, M., & Demeester, P. (2004). Scheduling algorithms for a slotted packet switch with either fixed or variable lengths packets. Photonic Network Communications, 8, 163–176. CrossRefGoogle Scholar
  4. 4.
    Callegati, F., Cerroni, W., Rafaelli, C., & Zaffoni, P. (2004). Wavelength and time domain exploitation for QoS management in optical packet switches. Computer Networks, 44, 569–582. CrossRefGoogle Scholar
  5. 5.
    Dogan, K., Gunulay, Y., & Akar, N. (2007). A comparative study of limited range wavelength conversion policies for asynchronous optical packet switching. Journal of Optical Networking, 6, 134–145. CrossRefGoogle Scholar
  6. 6.
    Gauger, C. M. (2004). Optimized combination of converter pools and FDL buffers for contention resolution in optical burst switching. Photonic Network Communications, 8, 139–148. CrossRefGoogle Scholar
  7. 7.
    Latouche, G., & Ramaswami, V. (1999). ASA-SIAM series on statistics and applied probability. Introduction to matrix analytic methods in stochastic modeling. Philadelphia: SIAM. Google Scholar
  8. 8.
    Laevens, K., Moeneclaey, M., & Bruneel, H. (2006). Queueing analysis of a single-wavelength fiber-delay-line buffer. Telecommunication Systems, 31, 259–287. CrossRefGoogle Scholar
  9. 9.
    Lambert, J., Van Houdt, B., & Blondia, C. (2006). Queues with correlated inter-arrival and service times and its application to optical buffers. Stochastic Models, 22(2), 233–251. CrossRefGoogle Scholar
  10. 10.
    Law, A. W., & Kelton, W. D. (2000). Simulation modeling and analysis (3rd ed.). New York: McGraw-Hill. Google Scholar
  11. 11.
    Neuts, M. F. (1981). Matrix-geometric solutions in stochastic models. Baltimore: John Hopkins University Press. Google Scholar
  12. 12.
    Perros, H. (2005). Connection-oriented networks: SONET/SDH, ATM, MPLS and optical networks. New York: Wiley. CrossRefGoogle Scholar
  13. 13.
    Puttasubbapa, V., & Perros, H. (2006). Performance analysis of limited-range wavelength conversion in an OBS switch. Telecommunication Systems, 31, 227–246. CrossRefGoogle Scholar
  14. 14.
    Qiao, J., & Yoo, M. (1999). Optical burst switching: A new paradigm for an optical Internet. Journal of High-Speed Networks, 8, 69–84. Google Scholar
  15. 15.
    Rogiest, W., Laevens, K., Fiems, D., & Bruneel, H. (2006). Quantifying the impact of wavelength conversion on the performance of fiber delay line buffers. In Proceedings of the sixth international workshop on optical burst/packet switching, WOBS 2006. Google Scholar
  16. 16.
    Rogiest, W., Fiems, D., Laevens, K., & Bruneel, H. (2007). Tracing an optical buffer’s performance: an effective approach. In Proceedings of the first Euro-FGI international conference on network control and optimization, NET-COOP 2007. Google Scholar
  17. 17.
    Sharma, V., & Varvarigos, E. (1998). Limited wavelength translation in all-optical WDM mesh networks. In Proceedings of the IEEE Infocom’98. Google Scholar
  18. 18.
    Shen, G., Bose, S., Cheng, T., Lu, C., & Chai, T. (2001). Performance study on a WDM packet switch with limited-range wavelength converters. IEEE Communications Letters, 5(10), 432–434. CrossRefGoogle Scholar
  19. 19.
    Turner, J. (1999). Terabit burst switching. Journal of High-Speed Networks, 8, 3–16. Google Scholar
  20. 20.
    Van Houdt, B., Laevens, K., Lambert, J., Blondia, C., & Bruneel, H. (2004). Channel utilization and loss rate in a single-wavelength Fibre Delay Line (FDL) buffer. In Proceedings of IEEE Globecom 2004. Google Scholar
  21. 21.
    Yates, J., Lacey, J., Everitt, D., & Summerfield, M. (1996). Limited-range wavelength translation in all-optical networks. In Proceedings of the IEEE Infocom’96. Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Performance Analysis of Telecommunication Systems Research Group, Department of Mathematics and Computer ScienceUniversity of Antwerp—IBBTAntwerpenBelgium

Personalised recommendations