Skip to main content

On the Expected Value of a Number of Disconnected Pairs of Nodes in Unreliable Network

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4707))

Abstract

The task of calculating the expectation of a number of disconnected pairs of nodes (EDP) in unreliable network is discussed. The task is NP-hard, that is it requires exhaustive search of subgraphs. The techniques for decreasing a number of enumerated subgraphs by using the branching (factoring) method and taking advantage from possible structural features are discussed. Usage of chains for reduction of the task dimension is considered.

This research was supported by the MIC(Ministry of Information and Communication), Korea, under the ITRC(Information Technology Research Center) support program supervised by the IITA(Institute of Information Technology Assessment), IITA-2006-(C1090-0603-0046), and grant CS-9505.2006.9 of President of Russian Federation. Corresponding author: H. Choo.

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rodionova, O.K., Rodionov, A.S., Choo, H.: Network Probabilistic Connectivity: Exact Calculation with Use of Chains. In: Laganà, A., Gavrilova, M., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds.) ICCSA 2004. LNCS, vol. 3046, pp. 315–324. Springer, Heidelberg (2004)

    Google Scholar 

  2. Krivoulets, V.G., Polesskii, V.P: What is the Theory of Bounds for Network Reliability? Inf. Processes 1(2), 199–203 (2001)

    Google Scholar 

  3. Cancela, H., Petingi, L.: Diameter constrained network reliability: exact evaluation by factorization and bounds. In: Proc. of the Int. Conf. on Industrial Logistics, Japan, pp. 359–366 (2001)

    Google Scholar 

  4. Lucet, C., Manouvrier, J.-F.: Exact Methods to compute Network Reliability. In: Proc. of 1st International Conf. on Mathematical Methods in Reliability, Bucharest, Roumanie (September 1997), paper available via http://ramp.ucsd.edu/resources.html

  5. Satyanarayana, A., Chang, M.K.: Network reliability and the factoring theorem. Networks 13, 107–120 (1983)

    Article  MATH  Google Scholar 

  6. Shooman, A.M.: Algorithms for Network Reliability and Connection Availability Analysis. In: Electro/95 Int. Professional Program Proc., pp. 309–333 (1995)

    Google Scholar 

  7. Palmer, C.R., Siganos, G., Faloutsos, M., Faloutsos, C., Gibbons, P.: The connectivity and faulttolerance of the Internet topology. Workshop on Network-Related Data Management (NRDM-2001), paper available via http://www.research.att.com/~divesh/papers/cjfgs98-ir.ps

  8. Rodionov, A., Rodionova, O.: Network Probabilistic Connectivity: Expectation of a Number of Disconnected Pairs of Nodes. In: Gerndt, M., Kranzlmüller, D. (eds.) HPCC 2006. LNCS, vol. 4208, pp. 101–109. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Shooman, A.M., Kershenbaum, A.: Exact Graph-Reduction Algorithms for Network Reliability Analysis. In: Proc. GLOBECOM’ 91. vol. 2, pp. 1412–1420 (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Osvaldo Gervasi Marina L. Gavrilova

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rodionov, A.S., Rodionova, O.K., Choo, H. (2007). On the Expected Value of a Number of Disconnected Pairs of Nodes in Unreliable Network. In: Gervasi, O., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2007. ICCSA 2007. Lecture Notes in Computer Science, vol 4707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74484-9_46

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74484-9_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74482-5

  • Online ISBN: 978-3-540-74484-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics