2nd International ICST Conference on Broadband Networks

Research Article

Analytical calculation of blocking probabilities in WDM rings with wavelength conversion

  • @INPROCEEDINGS{10.1109/ICBN.2005.1589601,
        author={Helio Waldman and Divanilson R.  Campelo},
        title={Analytical calculation of blocking probabilities in WDM rings with wavelength conversion},
        proceedings={2nd International ICST Conference on Broadband Networks},
        publisher={IEEE},
        proceedings_a={BROADNETS},
        year={2006},
        month={2},
        keywords={},
        doi={10.1109/ICBN.2005.1589601}
    }
    
  • Helio Waldman
    Divanilson R. Campelo
    Year: 2006
    Analytical calculation of blocking probabilities in WDM rings with wavelength conversion
    BROADNETS
    IEEE
    DOI: 10.1109/ICBN.2005.1589601
Helio Waldman1,*, Divanilson R. Campelo1,*
  • 1: Optical Networking Laboratory– OptiNet, State University of Campinas, Caixa Postal 6101, 13083-970, Campinas, SP, Brazil, http://www.optinet.fee.unicamp.br
*Contact email: waldman@decom.fee.unicamp.br, dcampelo@decom.fee.unicamp.br

Abstract

In this paper we present a method for calculating the exact blocking probability in WDM rings with full, ubiquitous wavelength conversion under Poissonian, homogeneous traffic with any spatial profile. A new scalable procedure is presented to derive the normalization constant of the Erlang's classical model for ring networks. In the same analytical framework, formulas are derived for the utilization rate and blocking probability of the ring.