OSA's Digital Library

Journal of Optical Communications and Networking

Journal of Optical Communications and Networking

  • Editors: K. Bergman and O. Gerstel
  • Vol. 5, Iss. 7 — Jul. 1, 2013
  • pp: 762–773

Statistical Model for Link Lengths in Optical Transport Networks

Sudhir K. Routray, Rui M. Morais, José R. Ferreira da Rocha, and Armando N. Pinto  »View Author Affiliations


Journal of Optical Communications and Networking, Vol. 5, Issue 7, pp. 762-773 (2013)
http://dx.doi.org/10.1364/JOCN.5.000762


View Full Text Article

Enhanced HTML    Acrobat PDF (1188 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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).

© 2013 Optical Society of America

OCIS Codes
(060.2360) Fiber optics and optical communications : Fiber optics links and subsystems
(060.4250) Fiber optics and optical communications : Networks
(060.4258) Fiber optics and optical communications : Networks, network topology

ToC Category:
Research Papers

History
Original Manuscript: January 3, 2013
Revised Manuscript: April 23, 2013
Manuscript Accepted: June 5, 2013
Published: June 28, 2013

Citation
Sudhir K. Routray, Rui M. Morais, José R. Ferreira da Rocha, and Armando N. Pinto, "Statistical Model for Link Lengths in Optical Transport Networks," J. Opt. Commun. Netw. 5, 762-773 (2013)
http://www.opticsinfobase.org/jocn/abstract.cfm?URI=jocn-5-7-762


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. K. Korotky, “Network global expectation model: A statistical formalism for quickly quantifying network needs and costs,” J. Lightwave Technol., vol.  22, no. 3, pp. 703–722, Mar. 2004. [CrossRef]
  2. J. P. Cardenas, A. Santiago, J. C. Losada, R. M. Benito, and M. L. Mouronte, “On the topology of optical transport networks,” J. Phys.: Conf. Ser., vol.  246, 012013, 2010. [CrossRef]
  3. C. Pavan, R. M. Morais, J. R. F. da Rocha, and A. N. Pinto, “Generating realistic optical transport network topologies,” J. Opt. Commun. Netw., vol.  2, no. 1, pp. 80–90, Jan. 2010. [CrossRef]
  4. R. M. Morais, C. Pavan, C. Requejo, and A. N. Pinto, “Genetic algorithm for the topological design of survivable optical transport networks,” J. Opt. Commun. Netw., vol.  2, no. 1, pp. 80–90, Jan. 2010. [CrossRef]
  5. S. K. Korotky, R. Essiambre, and R. W. Tkach, “Expectations of optical network traffic gain afforded by bit rate adaptive transmission,” Bell Labs Tech. J., vol.  14, no. 4, pp. 285–296, Feb. 2010. [CrossRef]
  6. S. K. Korotky and K. N. Oikonomou, “Scaling of most-likely traffic patterns of hose- and cost-constrained ring and mesh networks,” in Proc. Optical Fiber Communications Conf. (OFC), Anaheim, CA, Mar. 2006.
  7. A. Dwivedi and R. E. Wagner, “Traffic model for USA long-distance optical network,” in Proc. Optical Fiber Communications Conf. (OFC), Baltimore, MD, 2000, pp. 156–158.
  8. A. N. Pinto, C. Pavan, and R. M. Morais, “Dimensioning optical networks: A practical approach,” in Proc. of 12th Int. Conf. Transparent Optical Networks (ICTON), Munich, Germany, Jan. 2010.
  9. J. F. Labourdette, E. Bouillet, R. Ramamurthy, and A. A. Akyamaç, “Fast approximate dimensioning and performance analysis of mesh optical networks,” IEEE/ACM Trans. Netw., vol.  13, no. 4, pp. 906–917, Aug. 2005. [CrossRef]
  10. M. Karsai, M. Kivela, R. K. Pan, K. Kaski, J. Kertész, A.-L. Barabási, and J. Saramäki, “Small but slow world: How network topology and burstiness slow down spreading,” Phys. Rev. E, vol.  83, 025102, 2011. [CrossRef]
  11. Reference Optical Networks, Apr. 2013 [Online]. Available: http://www.av.it.pt/anp/on/refnet2.html .
  12. The Lonestar Education And Research Network (LEARN) [Online]. Available: http://www.tx-learn.org/images/map-large.jpg .
  13. The CompuServe Backbone Optical Transport Network [Online]. Available: http://www.nthelp.com/images/compuserve.jpg .
  14. The Abilene Backbone Optical Transport Network [Online]. Available: http://www.internet2.edu/2004AR/abilene_map_large.cfm .
  15. GARR-B, The Italian Research and Education Network (NREN) [Online]. Available: http://www.garr.it/index.php/rete/garr-x#mappa .
  16. Swedish University Computer Network, OptoSUNET [Online]. Available: http://www.sunet.se/download/18.6d7c8917128274d3dd0800 06061/optosunetbroschyr_eng.pdf .
  17. The High Speed Hibernia Atlantic USA Networks [Online]. Available: http://www.hiberniaatlantic.com/US_network.html .
  18. The following reference is the source of the 31 Node Italian Backbone Optical Transport Network (IBN31): A. Eira, J. Pedro, and J. Pires, “Optimized design of shared restoration in flexible-grid transparent optical networks,” in Optical Fiber Communication Conf., Los Angeles, CA, Mar.2012, paper JTh2A.37.
  19. Bulgarian Backbone Optical Transport Network [Online]. Available: http://www.gcn.bg/bg_backbone.html .
  20. The following reference is the source of the European Core Optical Transport Network (COST37): J. Tapolcai, P. H. Ho, and A. Haque, “TROP: A novel approximate link-state dissemination framework for dynamic survivable routing in MPLS networks,” IEEE Trans. Parallel Distrib. Syst., vol.  19, no. 3, pp. 311–322, Mar. 2008.
  21. The Chinese Education and Research Network (CERNET) [Online]. Available: http://www.edu.cn/20060111/3170194.shtml .
  22. The Next Generation Core Optical Networks (CORONET) [Online]. Available: http://monarchna.com/topology.html .
  23. S. Kotz and S. Nadarajah, Extreme Value Distributions: Theory and Applications. London, UK: Imperial College Press, 2000.
  24. The World Atlas [Online]. Available: http://www.worldatlas.com/ .

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited