Statistical Model for Link Lengths in Optical Transport Networks

Routray, Sudhir K.; Morais, Rui Manuel; Rocha, J.R.F. da; Pinto, Armando N.

doi:10.1364/jocn.5.000762

Cited by 30 publications

(26 citation statements)

References 6 publications

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“…We include real networks of all the 6 continents in this analysis, with OTNs of small, medium, and large sizes (having average link lengths spanning from 35 km to 1190 km). All these 40 networks are quite well known, and have been used in several studies and described in [14] - [19]. The graphical topologies of these networks can be found in [20] and [21].…”

Section: Statistical Analysis Of Shortest Path Lengths In Real Otnsmentioning

confidence: 99%

“…The graphical topologies of these networks can be found in [20] and [21]. Out of these 40, 30 are mentioned and used in [14] - [15], and the rest are listed in [22] - [31].…”

Section: Statistical Analysis Of Shortest Path Lengths In Real Otnsmentioning

confidence: 99%

“…In these works, OTN costs and their related parameters are estimated from incomplete information. In [14], a statistical model for link lengths is provided, which depends only on the node locations of the OTNs. It is shown in [14] that the convex area (the bounded interior area of the smallest convex set comprising of all the nodes) is more effective than the other areas (i.e., exact area and the geographical area) in the network-related estimations of the OTNs.…”

Section: Introductionmentioning

confidence: 99%

“…In [14], a statistical model for link lengths is provided, which depends only on the node locations of the OTNs. It is shown in [14] that the convex area (the bounded interior area of the smallest convex set comprising of all the nodes) is more effective than the other areas (i.e., exact area and the geographical area) in the network-related estimations of the OTNs. Convex area can be estimated from the circumferential ellipse of the OTN with reasonable accuracy [15].…”

Section: Introductionmentioning

confidence: 99%

“…Key parameters of the OTNs such as the average link length, and the link length distribution model are estimated with good accuracy using convex area. The model developed in [14] can also be used to estimate the link-dependent parameters of the OTNs [16].…”

Section: Introductionmentioning

confidence: 99%

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Statistical Analysis and Modeling of Shortest Path Lengths in Optical Transport Networks

Routray

Sahin

Rocha

et al. 2015

J. Lightwave Technol.

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We analyze the shortest path lengths between node pairs of real optical transport networks (OTNs). From the analysis, we find that Johnson SB distribution is suitable for the shortest path length modeling. The validity of the distributions is evaluated in terms of the Kolmogorov-Smirnov (KS) statistic. Johnson SB distribution provides an average KS statistic of 0.0423, which indicates its good accuracy. We also show that the key parameters of the shortest path lengths, such as the mean, the median, and the standard deviation, can be estimated from the convex area of the network. We develop the proposed Johnson SB distribution model for the shortest path lengths using the basic information of the networks. The developed model is able to estimate path-length dependent system parameters, such as the appropriate modulation formats in transparent optical networks with an average error of only 6.4%. It is noteworthy that these estimations can be made without full knowledge of the network. Only the node locations are required.Index Terms-Shortest path lengths of network; optical transport network; average shortest path length; statistics of shortest path lengths; distribution of shortest path lengths.

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Section: Statistical Analysis Of Shortest Path Lengths In Real Otnsmentioning

confidence: 99%

“…The graphical topologies of these networks can be found in [20] and [21]. Out of these 40, 30 are mentioned and used in [14] - [15], and the rest are listed in [22] - [31].…”

Section: Statistical Analysis Of Shortest Path Lengths In Real Otnsmentioning

confidence: 99%