@article{Rosberg2006Analysis,
author = {Z. Rosberg and A. Zalesky and H. L. Vu and M.
Zukerman},
title = {Analysis of {OBS} networks with limited wavelength
conversion},
journal = {IEEE/ACM Transactions on networking},
volume = {14},
number = {5},
pages = {1118-1127},
month = {Oct.},
year = {2006},
abstract = {Presented herein is a scalable framework for
estimating path blocking probabilities in optical burst switched (OBS) networks
where limited wavelength conversion is possible. Although presented under the
guise of OBS, it is pertinent to a broader class of optical networks based on
the principle of bufferless unacknowledged switching. By applying the framework
to the NSFNET topology, it is shown that even the most limited conversion range
may reduce path blocking probabilities by several orders of magnitude, compared
with no wavelength conversion. Moreover, contrary to previous results derived
for all-optical non-OBS networks with acknowledgement, OBS with full wavelength
conversion achieves significantly lower blocking probabilities than OBS with
limited wavelength conversion when the conversion range is small. Underpinning
the framework is a generalization of the classical reduced load approximation.
Assuming links evolve independently of each other allows decoupling of the
network into its constituent links. A set of fixed-point equations describing
the evolution of each conversion range are then solved by successive
substitution to estimate link blocking probabilities. Having these link blocking
probabilities, path blocking probabilities are evaluated. The complexity of the
framework is dominated by the wavelength conversion range and is independent of
the number of wavelengths per link under certain symmetry conditions. Both
just-in-time (JIT) and just-enough-time (JET) scheduling are considered.
Simulations are implemented to corroborate the accuracy of the framework.}
}