Abstract
In wavelength division multiplexed optical networks each connection is assigned a
light-path. Given a set of connection requests, how to set up a light-path for each of
them is called the static routing and wavelength assignment (RWA) problem. The physical
networks impose significant effects on the number of wavelengths required to accommodate
all the connections as light-paths are directly set up on it. Wavelength requirements in
the small-world and scale-free networks are investigated in this paper for the first
time to the best of our knowledge. The two important characteristics of networks are
considered: average shortest path length and 1-shell structure. Wavelength requirements
in the case of network evolution are investigated, too. Mean light-path length is proved
to be directly proportional to the average shortest path length of networks. Simulation
results have shown that fewer wavelengths are required in networks with smaller average
shortest path lengths, and the rate of increase of the number of wavelengths required is
smaller too while traffic load and network size increasing. The emergence of 1-shell
structure may result in the increase of the number of wavelengths required due to lack
of flexibility in 1-shell structure. The larger the cardinality of 1-shell is, the more
wavelengths the network requires.
© 2010 IEEE
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