Blocking in all-optical networks
IEEE/ACM Transactions on Networking (TON)
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We study a class of circuit-switched wavelength routing networks with and without wavelength converters, and we present the first part of a new analytical framework to accurately and efficiently evaluate the blocking performance of such networks. Our model is fairly general and it allows non-uniform traffic, i.e., call request arrival rates and call holding times that can vary with the source-destination pair. It also accounts for the correlation among the loads at all links in a path, and it can be used when the location of converters is fixed but arbitrary. We derive exact and approximate Markov process models, and we develop an iterative algorithm to analyze arbitrarily long paths by decomposing them into shorter segments connected in tandem which are studied in isolation. By considering a set of different traffic load patterns, we also demonstrate how our analytical techniques can be used to gain insight into the problem of converter placement in a wavelength routing network.