We study the problem of allocating optical bandwidth to sets of communicati
on requests in all-optical networks that utilize Wavelength Division Multip
lexing (WDM). WDM technology establishes communication between pairs of net
work nodes by establishing transmitter-receiver paths and assigning wavelen
gths to each path so that no two paths going through the same fiber link us
e the same wavelength. Optical bandwidth is the number of distinct waveleng
ths. Since state-of-the-art, technology allows for a, limited number of wav
elengths, the engineering problem to be solved is to establish communicatio
n between pairs of nodes so that the total number of wavelengths used is mi
nimized; this is known as the wavelength routing problem.
In this paper, we survey recent advances in bandwidth allocation in tree-sh
aped WDM all-optical networks:
We present hardness results and lower bounds for the general problem and th
e special case of symmetric communication.
We give the main ideas of deterministic greedy algorithms and study their l
imitations.
We demonstrate how we can achieve optimal and nearly-optimal bandwidth util
ization in networks with wavelength converters using simple algorithms.
We also present, recent results about the use of randomization for waveleng
th routing.