I. INtroduction
Wavelength-routed all-optical networks are considered to be candidates for the next generation wide-area backbone networks [4], [14]. In such networks, wavelength conversion (or translation) plays an important role in improving the fiber link utilization and reducing the call blocking probability [10]. Since the wavelength converters
In this paper, wavelength converter means a wavelength router with the capability of wavelength conversion.
are still very expensive nowadays, much research work focuses on sparse wavelength conversion, which means that only part of the network nodes have the capability of wavelength conversion, while others have no conversion capability [15]. If all the network nodes are capable of wavelength conversion, this is referred to as full wavelength conversion.