Skip to main content

Statistical Analysis of Path Length in Optical Networks

  • Conference paper
  • First Online:
Innovations in Electronics and Communication Engineering

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 33))

  • 677 Accesses

Abstract

Optical networks are the main traffic carriers of all the modern communications. All the core and regional networks are very much optical these days. Even in the metro and access area networks, we now have a lot of presence of optical fibers. With the growth of traffic, the complexities of management and control aspects of the optical networks increase. In optical networks, shortest path and the minimum hop paths are not the only choices when the network operates at its optimum capacity level. Rather, several other paths are chosen for routing and traffic management, which are neither the shortest nor minimum hop path lengths. So, there is a requirement to understand the statistics of these paths. In this paper, we analyze the path lengths of 35 real optical transport networks (OTNs). For this study, we used 65 different statistical distributions. We found that both Wakeby and Johnson SB distributions are very much suitable for the modeling of path lengths in OTNs. The validity of our statistical measurements was checked using Kolmogorov–Smirnov statistic (KSS). For both Wakeby and Johnson SB distributions, all the KSS values obtained are valid at 95% confidence interval for all 35 networks.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Barabási AL (2013) Network science. Philos Trans Roy Soc A 371(1987):1–3

    Article  Google Scholar 

  2. Ramaswamy R, Shivrajan K, Sasaki G (2010) Optical networks: a practical perspective, 2nd edn. Morgan Khufman, San Fraccisco, CA, USA

    Google Scholar 

  3. Routray SK et al (2015) Statistical analysis and modelling of optical transport networks: characterization and application. In: Proceedings of international conference on telecommunication (ConfTele), Aveiro, Portugal, September 2015

    Google Scholar 

  4. Reference Optical Networks (last updated: 23 Jan 2015). [Online]. Available: http://www.av.it.pt/anp/on/refnet2.html

  5. Routray SK, Sahin G, da Rocha JRF, Pinto AN (2015) Statistical analysis and modeling of shortest path lengths in optical transport networks. IEEE/OSA J Opt Commun Netw 33(13):2791–2801

    Google Scholar 

  6. Routray SK, Morais RM, da Rocha JRF, Pinto AN (2013) Statistical model for link lengths in optical transport networks. J Opt Commun Netw 5(7):762–773

    Article  Google Scholar 

  7. Korotky SK (2004) Network global expectation model: a statistical formalism for quickly quantifying network needs and costs. IEEE/OSA J Lightwave Technol 22(3):703–722

    Article  Google Scholar 

  8. Labourdette JF, Bouillet E, Ramamurthy R, Akyamac AA (2005) Fast approximate dimensioning and performance analysis of mesh optical networks. IEEE/ACMJ Trans Netw 3(4):906–917

    Google Scholar 

  9. Bauckhage C, Kersting K, Rastegarpanah B (2013) The weibull as a model of shortest path distributions in random networks. In: Proceedings of ACM international workshop on mining learning graphs, Chicago, IL, USA

    Google Scholar 

  10. Zhu Z, Lu W, Zhang L, Ansari N (2013) Dynamic service provisioning in elastic optical networks with hybrid single-/multi-path routing. J Lightwave Technol 31(1):15–22

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mihir Malladi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Malladi, M. et al. (2019). Statistical Analysis of Path Length in Optical Networks. In: Saini, H., Singh, R., Patel, V., Santhi, K., Ranganayakulu, S. (eds) Innovations in Electronics and Communication Engineering. Lecture Notes in Networks and Systems, vol 33. Springer, Singapore. https://doi.org/10.1007/978-981-10-8204-7_46

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-8204-7_46

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8203-0

  • Online ISBN: 978-981-10-8204-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics