Skip to main content

Approximation Algorithms for Survivable Optical Networks

(Extended Abstract)

  • Conference paper
  • First Online:
Distributed Computing (DISC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1914))

Included in the following conference series:

Abstract

We are motivated by the developments in all-optical networks - a new tech- nology that supports high bandwidth demands. These networks provide a set of ligthpaths which can be seen as high-bandwidth pipes on which communication is performed. Since the capacity enabled by this technology substatially exceeds the one provided by conventional networks, its ability to recover from failures within the optical layer is important. In this paper we study the design of a survivable optical layer. We assume that an initial set of pathlights (designed according to the expected communication pattern) is given, and we are targerted at augmenting this initial set with additional lightpaths such that the result will guarantee survivability. For this purposes, we define and motivate a ring parti- tion survivability condition that the solution must satisfy. Generally speaking, this condition states that lightpaths must be arranged in rings. The cost of the switching cost of the entire network. We present some negative results regarding the tractability and approximability of this problem, and an approximation al- gorithm for it. We analyze the performance of the algorithm for the general case (arbitrary topology) as well as for some special cases.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Alanyali and E. Ayanoglu. Provisioning algorithms for WDM optical net-works. In Proc. IEEE INFOCOM ’98, pages 910–918, 1998.

    Google Scholar 

  2. J. Armitage, O. Crochat, and J. Y. LeBoudec. Design of survivable WDM photonic network. In Proc. IEEE INFOCOM ’97, pages 244–252, 1997.

    Google Scholar 

  3. G. Chartrand and H. V. Kronk. Randomly traceable graphs. SIAM J. Appl. Math., 16:696–700, 1968.

    Article  MATH  MathSciNet  Google Scholar 

  4. T. Eilam, S. Moran, and S. Zaks. Approximation algorithms for survivable optical networks. Technical Report 2000-05, Department of Computer Sci-ence, Technion, Haifa, Israel, April 2000.

    Google Scholar 

  5. S. Even. Graph Algorithms. Computer Science Press, Woodland Hills, CA, 1979.

    MATH  Google Scholar 

  6. O. Gerstel, P. Lin, and G. Sasaki. Wavelength assignment in WDM ring to minimize cost of embedded SONET rings. In Proc. IEEE INFOCOM ’98, pages 94–101, 1998.

    Google Scholar 

  7. O. Gerstel, R. Ramaswami, and G.H. Sasaki. Fault tolerant multiwavelength optical rings with limited wavelength conversion. In Proc. IEEE INFOCOM ’97, pages 507–515, 1997.

    Google Scholar 

  8. Y. Hamazumi, N. Nagatsu, and K. Sato. Number of wavelengths required for optical networks with failure restoration. In Optical Fiber Communication, pages 67–68, Febuary 1994.

    Google Scholar 

  9. S. Micali and V.V. Vazirani. An O(y/V ? E) algorithm for finding maximum matching in general graphs. In Proc. 21st Ann. Symp. Foundations of Com-puter Science, pages 17–27, 1980.

    Google Scholar 

  10. R. Ramaswami and A. Segall. Distributed network control for optical net-works. IEEE/ACM Transactions on Networking, 5(6):936–943, 1997.

    Article  Google Scholar 

  11. Rajiv Ramaswami and Kumar N. Sivarajan. Optical Networks: A Practical Perspective. Academic Press/ Morgan Kaufmann, 1998.

    Google Scholar 

  12. J. vanLeeuwen, ed. Handbook of Theoretical Computer Science, vol-ume A, chapter 10. The MIT Press, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Eilam, T., Moran, S., Zaks, S. (2000). Approximation Algorithms for Survivable Optical Networks. In: Herlihy, M. (eds) Distributed Computing. DISC 2000. Lecture Notes in Computer Science, vol 1914. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40026-5_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-40026-5_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41143-7

  • Online ISBN: 978-3-540-40026-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics