Analytical calculation of blocking probabilities in WDM rings with wavelength conversion

Author

Waldman, Helio ; Campelo, Divanilson R.

Author_Institution

Opt. Networking Lab.-OptiNet, State Univ. of Campinas, Brazil

fYear

2005

fDate

3-7 Oct. 2005

Firstpage

61

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.

Keywords

optical fibre networks; optical wavelength conversion; probability; stochastic processes; telecommunication network topology; telecommunication traffic; wavelength division multiplexing; Erlang classical model; Poisson process; WDM ring; blocking probability; homogeneous traffic; ubiquitous wavelength conversion; wavelength conversion; wavelength division multiplexing; Chromium; Circuits; Intelligent networks; Optical wavelength conversion; Probability; Telecommunication traffic; Telephony; Traffic control; Wavelength division multiplexing; Wavelength routing;

fLanguage

English

Publisher

ieee

Conference_Titel

Broadband Networks, 2005. BroadNets 2005. 2nd International Conference on

Print_ISBN

0-7803-9276-0

Type

conf

DOI

10.1109/ICBN.2005.1589601

Filename

1589601