Skip to main content
SpringerLink
Log in
Book cover

International Conference on Algorithms and Architectures for Parallel Processing

ICA3PP 2016: Algorithms and Architectures for Parallel Processing pp 129–142Cite as

3-Additive Approximation Algorithm for Multicast Time in 2D Torus Networks

  • Conference paper
  • First Online:

  • 1687 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10048))

Abstract

In this paper, we propose 3-additive approximation algorithm for multicast time in wormhole-routed 2D torus networks. HMDIAG (Hybrid Modified DIAGonal) divides the 2D torus into four meshes and performs preprocessing at the source node to create the Diagonal Paths (DP), along which the message is sent in each mesh. At the source node and every intermediate node, another process is performed to send the message to a subset of destination nodes along a path branching from the DP. HMDIAG is a tree based multicast algorithm that uses two startup times. Simulation results show that the multicast time, latency, and coefficient variation of multicast time of HMDIAG is better than TASNEM and Multipath-HCM.

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   39.99
Price excludes VAT (USA)
  • Available as EPUB and 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

Learn about institutional subscriptions

References

  1. Abd El-Baky, M.A.: A tree-based algorithm for multicasting in 2D torus networks. Egypt. Inform. J. 16, 45–53 (2015)

    Article  Google Scholar 

  2. Al-Dubai, A., Ould-Khaoua, M., Romdhani, I.: On high performance multicast algorithms for interconnection networks. In: Gerndt, M., Kranzlmüller, D. (eds.) HPCC 2006. LNCS, vol. 4208, pp. 330–339. Springer, Heidelberg (2006). doi:10.1007/11847366_34

    Chapter  Google Scholar 

  3. Darwish, M.G., Radwan, A.A., Abd El-Baky, M.A., Hamed, K.: TTPM - an efficient deadlock-free algorithm for multicast communication in 2D torus networks. J. Syst. Archit. 54, 919–928 (2008)

    Article  Google Scholar 

  4. Darwish, M.G., Radwan, A.A., Abd El-Baky, M.A., Hamed, K.: Ready groups: a path-based multicast algorithm for 2D torus networks. In: Proceedings of the 7th International Conference on Informatics and Systems, pp. 1–9. IEEE Press, New York (2010)

    Google Scholar 

  5. Francalanci, C., Giacomazzi, P.: A high-performance deadlock-free multicast routing algorithm for K-ary N-cubes. IEEE Trans. Comput. 59(2), 174–187 (2010)

    Article  MathSciNet  Google Scholar 

  6. Fleury, E., Fraigniaud, P.: Strategies for path-based multicasting in wormhole-routed meshes. J. Parallel Distrib. Comput. 53, 26–62 (1998)

    Article  MATH  Google Scholar 

  7. Harutyunyan, H.A., Wang, S.: Efficient multicast algorithms for mesh-connected multicomputers. In: Tenth International Conference on Information Visualization, pp. 504–510. IEEE Press, New York (2006)

    Google Scholar 

  8. Harutyunyan, H.A., Terzian, M.: Two modified multicast algorithms for two dimensional mesh and torus networks. In: Proceedings of the 7th International Symposium on Parallel Architectures. Algorithms and Programming, pp. 122–128. IEEE Press, New York (2015)

    Google Scholar 

  9. Kumar, D.R., Najjar, W.A., Srimani, P.K.: A new adaptive hardware tree-based multicast routing in k-ary n-cubes. IEEE Trans. Comput. 50(7), 647–659 (2001)

    Article  Google Scholar 

  10. Lan, Y., Li, L.M., Esfahanian, A.-H.: Distributed multi-destination routing in hypercube multiprocessors. In: Proceedings of the Third Conference on Hypercube Concurrent Computers and Applications: Architecture. Software, Computer Systems, and General Issues, pp. 631–639. ACM, New York (1988)

    Google Scholar 

  11. Lin, X., Ni, L.M.: Multicast communication in multicomputer networks. IEEE Trans. Parallel Distrib. Comput. 4, 1105–1117 (1993)

    Article  Google Scholar 

  12. McKinley, P.K., Xu, H., Esfahanian, A.-H., Ni, L.M.: Unicast-based multicast communication in wormhole-routed networks. IEEE Trans. Parallel Distrib. Comput. 5, 1252–1265 (1994)

    Article  MATH  Google Scholar 

  13. Mohapatra, P., Varavithya, V.: A hardware multicast routing algorithm for two-dimensional meshes. In: Proceedings of the Eighth Symposium on Parallel and Distributed Processing, pp. 198–205. IEEE Press, New York (1996)

    Google Scholar 

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

    Article  Google Scholar 

  15. Slater, P.J., Cockayne, E.J., Hedetniemi, S.T.: Information dissemination in trees. SIAM J. Comput. 10, 692–701 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  16. Top500 Lists, June 2016. https://www.top500.org/lists/2016/06/

  17. Wang, N.-C., Hung, Y.-P.: Multicast communication in wormhole-routed 2D torus networks with hamiltonian cycle model. J. Syst. Archit. 55, 70–78 (2009)

    Article  Google Scholar 

  18. Wang, N.-C., Hung, Y.-P., Chu, C.-P.: Multicast communication in wormhole-routed symmetric networks with hamiltonian cycle model. J. Syst. Archit. 51, 165–183 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Concordia University, Montreal, QC, H3G 1M8, Canada

    Hovhaness A. Harutyunyan & Meghrig Terzian

Authors
  1. Hovhaness A. Harutyunyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Meghrig Terzian
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Meghrig Terzian .

Editor information

Editors and Affiliations

  1. University Carlos III of Madrid, Leganes, Spain

    Jesus Carretero

  2. Carlos III University of Madrid, Leganes, Madrid, Spain

    Javier Garcia-Blas

  3. The University of Waikato, Hamilton, New Zealand

    Ryan K.L. Ko

  4. IBM Zurich Research Laboratory, Rüschlikon, Switzerland

    Peter Mueller

  5. Hiroshima University, Higashi-Hiroshima, Japan

    Koji Nakano

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Harutyunyan, H.A., Terzian, M. (2016). 3-Additive Approximation Algorithm for Multicast Time in 2D Torus Networks. In: Carretero, J., Garcia-Blas, J., Ko, R., Mueller, P., Nakano, K. (eds) Algorithms and Architectures for Parallel Processing. ICA3PP 2016. Lecture Notes in Computer Science(), vol 10048. Springer, Cham. https://doi.org/10.1007/978-3-319-49583-5_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-49583-5_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49582-8

  • Online ISBN: 978-3-319-49583-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation