Optimal scheduling in buffered WDM interconnects with limited range wavelength conversion capability

All optical networking is a promising candidate for supporting high-speed communications because of the huge bandwidth of optics. In this paper, we study optimal scheduling in buffered WDM interconnects with limited range wavelength conversion capability. We formalize the problem of maximizing network throughput and minimizing total delay as a problem of finding an optimal matching in a weighted bipartite graph. We then give a simple algorithm, called the Scan and Swap Algorithm, that finds the optimal matching in O(kB) time, where k is the number of wavelengths per fiber and B is the buffer length, as compared to directly adopting other existing algorithms that need at least O(k²N² + k²BN) time, where N is the number of input fibers.