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IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320), 1999, Vol.1, p.321-328 vol.1
Blocking in wavelength routing networks .I. The single path case
Ist Teil von
IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320), 1999, Vol.1, p.321-328 vol.1
Ort / Verlag
IEEE
Erscheinungsjahr
1999
Quelle
IEEE Electronic Library Online
Beschreibungen/Notizen
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. The model allows non-uniform traffic, it 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 first construct an exact Markov process that captures the behaviour of a path in terms of wavelength use. We also obtain an approximate Markov process which has a closed-form solution that can be efficiently computed for short paths. We then develop an iterative algorithm to analyze approximately arbitrarily long paths. The algorithm decomposes a path into shorter segments which are then studied in isolation using the corresponding approximate Markov process. The individual solutions are appropriately combined to obtain a solution for the original path. Finally, we demonstrate how the analytical techniques can be used to gain insight into the problem of converter placement in wavelength routing networks.