Skip to main content
SpringerLink
Log in
Book cover

Latin American Symposium on Theoretical Informatics

LATIN 2002: LATIN 2002: Theoretical Informatics pp 435–450Cite as

Finding Most Sustainable Paths in Networks with Time-Dependent Edge Reliabilities

  • Conference paper
  • First Online:

  • 887 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2286))

Abstract

In this paper, we formalize the problem of finding a routing path for the streaming of continuous media (e.g., video or audio files) that maximizes the probability that the streaming is successful, over a network with nonuniform edge delays and capacities, and arbitrary timedependent edge reliabilities. We call such a problem the most sustainable path (MSP) problem. We address the MSP problem in two network routing models: the wormhole and the circuit-switching routing models. We present fully-distributed polynomial-time algorithms for the streaming of constant-size data in the wormhole model, and for arbitrary-size data in the circuit-switching model. Our algorithms are simple and assume only local knowledge of the network topology at each node. The algorithms evolved from a variation of the classical Bellman-Ford shortest-path algorithm. One of the main contributions of this paper was to show how to extend the ideas in the Bellman-Ford algorithm to account for arbitrary time-dependent edge reliabilities.

Supported in part by NSF CAREER Award CCR-9985284.

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahuja, R. K.: Minimum cost reliability problem. Computers and Operations Research 16 (1988) 83–89

    Article  Google Scholar 

  2. Barrett, C., Bisset, K., Konjevod, G., Jacob, R., Marathe, M.: Routing problems in time-dependent and labeled networks, submitted to SODA 2002

    Google Scholar 

  3. Bertsekas, D., Gallager, R.: Data Networks. Prentice Hall, (1992)

    Google Scholar 

  4. Chen, Y. L., Chin, Y. H.: The quickest path problem. Computers and Operations Research 17, no. 2 (1990) 153–161

    Article  MathSciNet  Google Scholar 

  5. Cooke, K., Halsey, E.: The shortest route through a network with time dependent internodal transit times. Journal of mathematical analysis and applications 14 (1966) 493–498

    Article  MathSciNet  Google Scholar 

  6. Gibson, G. A., Vitter, J. S., Wilkes, J.: Strategic Direction in Storage I/O issues in large-scale computing. In Proceedings of the ACMWorkshop on Strategic Directions in Computing Research, ACM Computing Surveys 28, no. 4 (1996) 779–793

    Article  Google Scholar 

  7. Handel, R., Huber, M. N.: Integrated Broadband Networks: An Introduction to ATM-Based Networks. Addison-Wesley (1991)

    Google Scholar 

  8. Miller-Hooks, E., Patterson S. S.: The time-dependent quickest flow problem. Submitted to Operations Research 2000

    Google Scholar 

  9. McDysan, D. E., Spohn, D. L.: ATM: Theory and Application. McGraw-Hill (1995)

    Google Scholar 

  10. Orda, A., Rom, R.: Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length. Journal of the Association for Computing 37, no. 3 (1990) 607–625

    Article  MathSciNet  Google Scholar 

  11. Orda, A., Rom, R.: Distributed shortest-path protocols for time-dependent networks. Distributed Computing 10 (1996) 49–62

    Article  MathSciNet  Google Scholar 

  12. Scheideler, C.: Universal routing strategies for interconnection networks. Springer (1998)

    Google Scholar 

  13. Sung, K., Bell, M., Seong, M., Park, S.: Shortest paths in a network with timedependent flow speeds. European Journal of Operational Research 121 (2000) 32–39

    Article  MathSciNet  Google Scholar 

  14. Tragoudas, S.: The most reliable path transmission. Performance, Computing, and Communications Conference, 1999 IEEE International (1999) 15–19

    Google Scholar 

  15. Vogel, R., Herrtwich, R.G., Kalfa, W., Wittig, H., Wolf, L.C.: QoS-based routing of multimedia streams in computer networks. IEEE Journal on Selected Areas in Communications 14, no. 7 (1996) 1235–1244

    Article  Google Scholar 

  16. Wang, Z., Crowcroft, J.: Quality-of-service routing for supporting multimedia applications. IEEE Jornal on Selected Areas in Communications 14, no. 7 (1996) 1228–1234

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Arizona State University, 85287-5406, Tempe, AZ, USA

    Goran Konjevod, Soohyun Oh & Andréa W. Richa

Authors
  1. Goran Konjevod
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Soohyun Oh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andréa W. Richa
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Compaq Cambridge Research Laboratory, One Cambridge Center, 02142-1612, Cambridge, MA, USA

    Sergio Rajsbaum

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Konjevod, G., Oh, S., Richa, A.W. (2002). Finding Most Sustainable Paths in Networks with Time-Dependent Edge Reliabilities. In: Rajsbaum, S. (eds) LATIN 2002: Theoretical Informatics. LATIN 2002. Lecture Notes in Computer Science, vol 2286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45995-2_39

Download citation

  • DOI: https://doi.org/10.1007/3-540-45995-2_39

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43400-9

  • Online ISBN: 978-3-540-45995-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation