Skip to main content

Modeling Real-Time Wormhole Networks by Queuing Theory

  • Conference paper
Parallel and Distributed Processing and Applications (ISPA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3758))

Abstract

This paper discuses a new approach that models the single node of general real-time wormhole networks, and analyzes this new model with queuing theory. Since the wormhole network’s node is too complicated to analyze generally, a multi-vision solution is applied to analyzing the wormhole network’s node. The wormhole network single-node model is decomposed into three sub-models, and each of them can be analyzed with queuing theory separately. Lastly, a simulation model is made with this solution, and several simulation results are presented to illustrate the performance of real-time wormhole scheduling in single-node.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ni, L.M., McKinley, P.K.: A survey of wormhole routing technique in direct networks. Computer 26(2), 62–76 (1993)

    Article  Google Scholar 

  2. Dally, W.J.: Virtual-channel flow control. IEEE Trans. Parallel Distrib. System 3(2), 194–205 (1992)

    Article  Google Scholar 

  3. Li, J.-p., Mutka, M.W.: Real-Time Virtual Channel Flow Control. Journal of Parallel and Distributed Computing 32, 49–65 (1996); Article NO. 0004

    Article  Google Scholar 

  4. Stallings, W.: Queuing Analysis (2004), http://www.WilliamStallings.com/StudentSupport.html

  5. Willig, A.: Performance Evaluation Techniques. Hasso-Plattner-Institut, University Potsdam (June 2004)

    Google Scholar 

  6. Yeung, S.-N., Lehoczky, J.: End-to-end Delay Analysis for Real-Time Networks. In: Proceedings of the 22nd IEEE Real-Time Systems Symposium (2001) 0-7695-1420-0/01

    Google Scholar 

  7. Nain, P.: Basic Elements of Queueing Theory: Application to the Modeling of Computer Systems. University of Massachusetts, USA (Janaury 1998)

    Google Scholar 

  8. Law, A.M., Kelton, W.D.: Simulation Modeling and Analysis, 3rd edn., Singapore. McGraw-Hill series in industrial engineering and management science (2000)

    Google Scholar 

  9. Nilsen, F.B.: Queuing system: Modeling, analysis and simulation. Department of Informatics, University of OSLO (April 1998)

    Google Scholar 

  10. Adan, I., Resing, J.: Queueing Theory. The Netherlands: Department of Mathematics and Computing Science of Eindhoven, University of Technology (February 2001)

    Google Scholar 

  11. ZaiKin, O., Korytkowski, P., Rozewski, P.: Queuing Systems. Poland: Technical University of Szczecin (2004)

    Google Scholar 

  12. Lee, S.: Real-Time Wormhole Channel. J. Parallel Distrib. Comput. 63, 299–311 (2003)

    Article  MATH  Google Scholar 

  13. Lehoczky, J.P.: Scheduling Communication Networks Carrying Real-Time Traffic. IEEE 0-08186-9212- X/98 (1998); ZaiKin, O., Korytkowski, P., Rozewski, P.: Queuing Systems. Technical University of Szczecin, Poland (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, L., Zhang, Y. (2005). Modeling Real-Time Wormhole Networks by Queuing Theory. In: Pan, Y., Chen, D., Guo, M., Cao, J., Dongarra, J. (eds) Parallel and Distributed Processing and Applications. ISPA 2005. Lecture Notes in Computer Science, vol 3758. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11576235_70

Download citation

  • DOI: https://doi.org/10.1007/11576235_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29769-7

  • Online ISBN: 978-3-540-32100-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics