Skip to main content

Virtual Path Layout in ATM Path with Given Hop Count

  • Conference paper
Networking — ICN 2001 (ICN 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2094))

Included in the following conference series:

Abstract

Motivated by Asynchronous Transfer Mode (ATM) in telecommunication networks,we investigate the problem of designing a virtual topology on a physical topology, which consists of finding a set of virtual paths (VPs) satisfying some constraints in terms of load (the number of VPs sharing a physical link) and hop count (the number of VPs used to establish a connection). For particular network: paths,w e give tight bounds on the network capacity (the maximum load of a physical link) as a function of the virtual diameter (the maximum hop count for each connection).

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. W. Aiello, S. N. Bhatt, F. R. K. Chung, A. L. Rosenber, and R. K. Sitaraman. Augmented ring networks. Technical Report UM-CS-1997-036, University of Massachusetts, Amherst, Computer Science, June, 1997.

    Google Scholar 

  2. Becchetti and Gaibisso. Lower bounds for the virtual path layout problem in ATM networks. In Theory and Practice of Informatics, Seminar on Current Trends in Theory and Practice of Informatics, LNCS, volume 24. 1997.

    Google Scholar 

  3. J-C. Bermond, N. Marlin, D. Peleg, and S. Perennes. Directed Virtual Path layout in ATM networks. In Proc. of the 12 th International Conference on Distributed Computing, Andros Greece, 1998. LNCS 1499, pages 75–88.

    Google Scholar 

  4. J-C. Bermond, N. Marlin, D. Peleg, and S. Perennes. Virtual Paths Layout with Low Congestion or Low Diameter in ATM Networks. In 1ére rencontre francophone… ALGOTEL’ 99, Mai 1999.

    Google Scholar 

  5. Pascal Chanas. Dimensionnement de réseaux ATM. PhD thesis, CNET Sophia, Sept. 1998.

    Google Scholar 

  6. T. Eilam, M. Flammini, and S. Zaks. A complete characterization of the path layout construction problem for ATM networks with given hop count and load. In 24th International Colloquium on Automata, Languages and Programming (ICALP), volume 1256 of Lecture Notes in Computer Science, pages 527–537. Springer-Verlag, 1997.

    Google Scholar 

  7. M. Feighlstein and S. Zaks. Duality in chain ATM virtual path layouts. In 4th International Colloquium on Structural Information and Communication Complexity (SIROCCO), Monte Verita, Ascona, Switzerland, July 1997.

    Google Scholar 

  8. G. Gauyacq. Routages uniformes duns les graphes sommet-transitifs. PhD thesis, Université Bordeaux I, 1995.

    Google Scholar 

  9. O. Gerstel, I. Cidon, and S. Zaks. The layout of virtual paths in ATM networks. IEEE/ACM Transactions on Networking, 4(6):873–884, 1996.

    Article  Google Scholar 

  10. Ornan Gerstel, Israel Cidon, and Shmuel Zaks. Optimal Virtual Path Layout in ATM Networks with Shared Routing Table Switches. Chicago Journal of Theoretical Computer Science, 1996(3), October 1996.

    Google Scholar 

  11. O. Gerstel, A. Wool, and S. Zaks. Optimal Layouts on a Chain ATM Network. In 3rd Annual European Symposium on Algorithms, volume LNCS 979, pages 508–522. Springer Verlag, 1995.

    Google Scholar 

  12. O. Gerstel, A. Wool, and S. Zaks. Optimal layouts on a chain ATM network. In 3rd Annual European Symposium on Algorithms (ESA), (LNCS 979), Corfu, Greece, pages 508–522, 1995. To appear in Discrete Applied Mathematics.

    Google Scholar 

  13. Ornan Gerstel and Shmuel Zaks. The virtual path layout problem in fast networks. In Symposium on Principles of Distributed Computing (PODC’ 94), pages 235–243, New York, USA, August 1994. ACM Press.

    Google Scholar 

  14. D. Kofman and M. Gagnaire. Rétseaux haut debit, reseaux ATM, reseaux locaux et reseaux tout-optiques. InterEditions-Masson, 1998.

    Google Scholar 

  15. E. Kranakis, D. Krizanc, and A. Pelc. Hop-congestion trade-offs for high-speed networks. International Journal of Foundations of Computer Science, 8:117–126, 1997.

    Article  MATH  Google Scholar 

  16. J-C. Meyer, M-C. Heydemann, and D. Sotteau. On Forwarding indices of networks. Discrete Applied Mathematics 23:103–123, 1989.

    Article  MATH  MathSciNet  Google Scholar 

  17. M. De Pricker. Asynchronous Transfer Mode, Solution for Broadband ISDN. Prentice Hall, August 1995.

    Google Scholar 

  18. L. Stacho and I. Vrt’o. Virtual path layouts in atm networks. In Structure, Information and Communication Complexity, 3rd Colloquium, SIROCCO, pages 2699278. Carleton University Press, 1996.

    Google Scholar 

  19. S. Zaks. Path Layout in ATM Networks — A Survey. In The DIMACS Workshop on Networks in Distributed Computing, DIMACS Center, Rutgers University, Oct. 1997. manuscript.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Choplin, S. (2001). Virtual Path Layout in ATM Path with Given Hop Count. In: Networking — ICN 2001. ICN 2001. Lecture Notes in Computer Science, vol 2094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47734-9_52

Download citation

  • DOI: https://doi.org/10.1007/3-540-47734-9_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42303-4

  • Online ISBN: 978-3-540-47734-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics