We can consider the interconnection structure suing WDM from two different levels, physical and virtual topologies. In the virtual topology, various channels on physical links can be established between transmitters and the receivers of the nodes. It is important to design efficient virtual topologies, because they have a benefit of performance improvement in interconnection networks depending on traffic matrices without changing physical topologies. In this paper we suggest a way to design virtual topologies that minimize average packet delays for given traffic matrices using genetic algorithms.