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Statistical Model for Link Lengths in Optical Transport Networks

Routray, S. ; Morais, R.M. ; Rocha, R. F. ; Pinto, A. N.

IEEE/OSA Journal of Optical Communications and Networking Vol. 5, Nº 7, pp. 762 - 773, July, 2013.

ISSN (print): 1943-0620
ISSN (online): 1943-0620

Journal Impact Factor: 1,128 (in 2010)

Digital Object Identifier: 10.1364/JOCN.5.000762

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Abstract
From the analysis of statistical properties of real networks, it is found that general extreme value (GEV) distribution provides an accurate model for link length statistics of optical transport networks (OTNs). The parameters of GEV distribution can be estimated from the average link length of the OTNs. Expressions for average link lengths, based only on the knowledge of network coverage area and number of nodes, are improved for better accuracy. It is shown that the optimized GEV distribution estimates the link statistics of OTNs with good accuracy (Kolmogorov–Smirnov statistic less than 0.18).