Skip to main content

A Discrete Model for a Network Having Broken Packages

  • Conference paper
  • 1789 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

Abstract

Broken packages are packages with not enough information regarding the destination address and they have a negative impact on a computer network. Broken packages stay in the router too much time and overload it. This is a real problem which appears in the computer network of Sofia University. We know only the time when a broken package arrives in the router. The problem is to find the computer which send broken packages. The aim of this article is to propose a model for defining the data transmission stability and correctness in a computer network. Our theoretical model is temporal dependent and captures the transmission properties of a computer network.

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   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. Ahmed, N.U., Wang, Q., Barbosa, L.O.: System Approach to Modeling the Token Bucket Algorithm in Computer Networks. Mathematical Problems in Engineering 8(3), 265–279 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ahmed, N.U., Dabbous, T.E., Lee, Y.E.: Dynamic routing for computer queuing networks. Int. J. Systems SCI 19(6) (1988)

    Google Scholar 

  3. Faloutsos, M., Faloutsos, P., Faloutsos, C.: On powerlow relationships of the Internet topology. In: Proceeding SIGCOMM Cannes (1999)

    Google Scholar 

  4. Nikoloski, Z., Deo, N., Pucera, L.: Correlation Model of Worm Propagation on Scale - Free Networks. Complexus Network Modelling 3, 169–182 (2006)

    Google Scholar 

  5. Perumalla, K.S., Sundaragopalan, S.: High-Fidelity Modeling of Computer Network Worms. Technical Report GIT-CERCS-04-23, Center of Experimental Research in Computer Science, Georgia Institut of Technology (2004)

    Google Scholar 

  6. Shi, Y., Chen, G.: A discrete computer network model with expanding dimensions, Nonlinear Sciences, Chaotic Dynamics, 14 p. (2007) arXiv:0705.0855v1 [nlin.CD]

    Google Scholar 

  7. Wahida, C., Ahmed, N.U.: Congestion control using dynamic routing and flow control. Stochastic analysis and applications 10(2), 123–142 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  8. Yook, S.H., Jeong, H., Barabasi, A.I.: Modeling the Internet’s large scale topology. Proc. Nat. Acad. Sci. USA 99, 13382–13386 (2003)

    Article  Google Scholar 

  9. Yuan, J., Mills, K.: Exploring Collective Dynamics in Communication Networks. Journal of Research of national Institute of Standards and Technology 107, 179–191 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Simian, D., Georgiev, V., Simian, C. (2009). A Discrete Model for a Network Having Broken Packages. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_60

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-00464-3_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics