“…The existing methodologies on logical topology design over WDM networks have focused on minimizing the number of required wavelengths [3,4,5,6], the number of required ADMs (Add-Drop Multiplexers) and transceivers [5,6,7], the blocking probability [8], the number of required paths [9], the total amount of relayed traffic [10,11], the number of required wavelength converters [3,12] and so on, for given traffic matrices. It is well-known that the number of ports (ADMs and transceivers) per WDM node has big impact on hardware costs.…”