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Fixed point analysis of limited range share per node wavelength conversion in asynchronous optical packet switching systems

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Abstract

In this article, we study an asynchronous optical packet switch equipped with a number of wavelength converters shared per node. The wavelength converters can be full range or circular-type limited range. We use the algorithmic methods devised for Markov chains of block-tridiagonal type in addition to fixed-point iterations to approximately solve this relatively complex system. In our approach, we also take into account the finite number of fiber interfaces using the Engset traffic model rather than the usual Poisson traffic modeling. The proposed analytical method provides an accurate approximation for full range systems for relatively large number of interfaces and for circular-type limited range wavelength conversion systems for which the tuning range is relatively narrow.

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References

  1. Gambini P. et al.: Transparent optical packet switching: network architecture and demonstrators in the KEOPS project. IEEE J. Select Areas Commun. 16, 1245–1259 (1998)

    Article  Google Scholar 

  2. Qiao C., Yoo M.: Optical burst switching (OBS)—a new paradigm for an optical Internet. J. High Speed Netw. (JHSN) 8, 69–84 (1999)

    Google Scholar 

  3. Eramo V., Listanti M., Pacifici P.: A comparison study on the wavelength converters number needed in synchronous and asynchronous all-optical switching architectures. J. Lightw. Technol. 21, 340–355 (2003)

    Article  Google Scholar 

  4. Puttasubbappa, V., Perros, H.: An approximate queueing model for limited-range wavelength conversion in an OBS switch. In: Boutaba, R. et al. (eds.) Networking, LNCS 3426, pp. 697–708. Ontario, Canada (2005)

  5. Overby H.: Performance modelling of optical packet switched networks with the Engset traffic model. Opt. Express 13, 1685–1695 (2005)

    Article  Google Scholar 

  6. Akar, N., Karasan, E.: Exact calculation of blocking probabilities for bufferless optical burst switched links with partial wavelength conversion. In: 1st Conference on Broadband Networks (BROADNETS’04), Optical Networking Symposium, pp. 110–117 (2004)

  7. Mingwu Y., Zengji L., Aijun W.: Accurate and approximate evaluations of asynchronous tunable-wavelength-converter sharing schemes in optical burst-switched networks. J. Lightw. Technol. 23, 2807–2815 (2005)

    Article  Google Scholar 

  8. Li H., Thng I.L.-J.: Performance analysis of limited number of wavelength converters by share per node in optical switching network. Comput. Netw. 51, 671–682 (2007)

    Article  MATH  Google Scholar 

  9. Dogan K., Gunalay Y., Akar N.: Comparative study of limited range wavelength conversion policies for asynchronous optical packet switching. J. Opt. Netw. 6, 134–145 (2007)

    Article  Google Scholar 

  10. Puttasubbappa V., Perros H.: Performance analysis of limited-range wavelength conversion in an OBS switch. Telecommun. Syst. J. 31, 227–246 (2006)

    Article  Google Scholar 

  11. Eramo V., Listanti M., Spaziani M.: Resources sharing in optical packet switches with limited-range wavelength converters. J. Lightw. Technol. 23, 671–687 (2005)

    Article  Google Scholar 

  12. Savi M., Raffaelli C., Akar N., Karasan E.: Traffic analysis of synchronous buffer-less optical switch with shared limited range wavelength converters. IEEE High Performance Switching and Routing (HPSR), New York (2007)

    Google Scholar 

  13. Akar N., Karasan E., Dogan K.: Wavelength converter sharing in asynchronous optical packet/burst switching: an exact blocking analysis for Markovian arrivals. IEEE J. Select Areas Commun. 24, 69–80 (2006)

    Article  Google Scholar 

  14. Akar, N., Karasan, E., Muretto, G., Raffaelli, C.: Performance analysis of an optical packet switch employing full/limited range share per node wavelength conversion. In: IEEE GLOBECOM, Washington, DC, pp. 2369–2373 (2007)

  15. Kleinrock L.: Queuing Systems, Vol. 1 Theory. John Wiley, New York (1975)

    Google Scholar 

  16. Golub, G.H., van Loan, C.F.: Matrix Computations. 3rd edn. The Johns Hopkins University Press, Baltimore, Maryland (1996)

    MATH  Google Scholar 

  17. Akar N., Gunalay Y.: Stochastic analysis of finite popu- lation bufferless multiplexing in optical packet/burst switch- ing systems. IEICE Trans. Commun. E E90-B(2), 342–345 (2007)

    Article  Google Scholar 

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Authors and Affiliations

  1. Electrical and Electronics Engineering Department, Bilkent University, Ankara, Turkey

    Nail Akar & Ezhan Karasan

  2. DEIS - University of Bologna, Bologna, Italy

    Carla Raffaelli

Authors
  1. Nail Akar
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  2. Ezhan Karasan
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  3. Carla Raffaelli
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Correspondence to Nail Akar.

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Akar, N., Karasan, E. & Raffaelli, C. Fixed point analysis of limited range share per node wavelength conversion in asynchronous optical packet switching systems. Photon Netw Commun 18, 255–263 (2009). https://doi.org/10.1007/s11107-009-0189-7

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  • DOI: https://doi.org/10.1007/s11107-009-0189-7

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