Using the Equivalent Path Model to Evaluate WDM Network Performance

Abstract

We present the equivalent path (single link) method to estimate the blocking probabilities in Wavelength Division Multiplexing (WDM) networks without wavelength converters, assuming fixed routing with First-Fit wavelength assignment. Our approach views the WDM network as a set of different layers (colors) in which, blocked traffic in one layer is overflowed to another layer. Then, we replace an end-to-end path with an equivalent single link system. The first two moments of both the end-to-end traffic and background traffic is then calculated, and the Bernoulli–Poisson–Pascal BPP moment matching function is used to calculate the single link blocking probability. Results presented indicate the accuracy of our method.