Skip to main content

Part of the book series: Statistics for Industry and Technology ((SIT))

  • 388 Accesses

Abstract

The estimation of data transfer rates in networks can be traced back to the problem of finding a flow of maximal value in undirected graphs. The probability that a certain requested flow is realizable within a network environment with unreliable links — the so called flow probability — can be considered as a reliability measure. This paper presents algorithms for the computation of the flow probability.

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. Colbourn, C. J. (1987). The Combinatorics of Network Reliability, New York-Oxford: Oxford Press.

    Google Scholar 

  2. Sachs, H. (1988). Einführung in die Theorie der endlichen Graphen (Teil 1), Teubner-Verlag, Lizenz Nr. 294/375/88/70-Es 19 B3.

    Google Scholar 

  3. Aggarwal, K. K., Chopra, Y. C. and Bajwa, J. S. (1982). Capacity consideration in reliability analysis of communication systems, IEEE Transactions on Reliability, 31, 177–181.

    Article  MATH  Google Scholar 

  4. Lee, S. H. (1980). Reliability evaluation of a flow network, IEEE Transactions on Reliability, 29, 24–26.

    Article  MATH  Google Scholar 

  5. Rüger, W. J. (1986). Reliability analysis of networks with capacity -constraints and failures at branches and nodes, IEEE Transactions on Reliability, 35, 523–528.

    Article  MATH  Google Scholar 

  6. Ahuja, R. K., Magnanti, T. L. and Orlin, J. B. Network Flows, New York: Prentice Hall.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Birkhäuser Boston

About this chapter

Cite this chapter

Jentsch, R. (1998). Reliability Analysis in Flow Networks. In: Kahle, W., von Collani, E., Franz, J., Jensen, U. (eds) Advances in Stochastic Models for Reliability, Quality and Safety. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2234-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-2234-7_16

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7466-7

  • Online ISBN: 978-1-4612-2234-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics