@article{Wong2005Performance,
author = {E. W. M. Wong and M. Zukerman},
title = {Performance evaluation for an optical hybrid switch
with circuit queued reservations},
journal = {Optics
Express},
volume = {13},
number = {23},
pages = {9446-9459},
month = {Nov.},
year = {2005},
abstract = {We provide here a new loss model for an optical
hybrid switch that can function as an optical burst switch and/or optical
circuit switch. Our model is general as it considers an implementation whereby
some of the circuits have preemptive priority over bursts and others are allowed
to queue their reservations. We first present an analysis based on a 3-dimension
state-space Markov chain that provides exact results for the blocking
probabilities of bursts and circuits, the proportion of circuits that are
delayed and the mean delay of the circuits that are delayed. Because it is
difficult to exactly compute the blocking probability in realistic scenarios
with a large number of wavelengths, we derive computationally a scalable and
accurate approximations based on reducing the 3-dimension state space into a
single dimension. These scalable approximations that can produce performance
results in a fraction of a second can readily enable switch dimensioning.
Extensive numerical results are presented to demonstrate the accuracy and the
use of the new approximations.}
}