Skip to main content
Log in

Intermittent Fault Diagnosability of Hyper Petersen Network

  • Published:
International Journal of Wireless Information Networks Aims and scope Submit manuscript

Abstract

The problem of permanent fault diagnosis has been discussed widely, and the diagnosability of many well-known networks have been explored. Faults of a multiprocessor system generally include permanent and intermittent, with intermittent faults regarded as the most challenging to diagnose. In this paper, we investigate the intermittent fault diagnosability of hyper Petersen networks. First, we derive that an \(n\)-dimensional hyper Petersen network \(HP_{n}\) with fault-free edges is \((n - 1)_{i}\)-diagnosable under the PMC model. Then, we investigate the intermittent fault diagnosability of \(HP_{n}\) with faulty edges under the PMC model. Finally, we prove that an \(n\)-dimensional hyper Petersen network \(HP_{n}\) is \((n - 2)_{i}\)-diagnosable under the MM* model.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

References

  1. F. P. Preparata, G. Metze and R. T. Chien, On the connection assignment problem of diagnosis systems, IEEE Transactions on Electronic Computers, Vol. 16, No. 6, pp. 848–854, 1967.

    Article  MATH  Google Scholar 

  2. A. Kavianpour and K. H. Kim, Diagnosability of hypercubes under the pessimistic one-step diagnosis strategy, IEEE Transactions on Computers, Vol. 40, No. 2, pp. 232–237, 1991.

    Article  Google Scholar 

  3. J. X. Fan, Diagnosability of the Möbius cubes, IEEE Transactions on Parallel and Distributed Systems, Vol. 9, pp. 923–928, 1998.

    Article  Google Scholar 

  4. G. Y. Chang, G. J. Chang and G. H. Chen, Diagnosabilities of regular networks, IEEE Transactions on Parallel and Distributed Systems, Vol. 16, pp. 314–323, 2005.

    Article  Google Scholar 

  5. P. L. Lai, J. J. M. Tan, C. P. Chang and L. H. Hsu, Conditional diagnosability measures for large multiprocessor systems, IEEE Transactions on Computers, Vol. 54, No. 2, pp. 165–175, 2005.

    Article  Google Scholar 

  6. S. L. Peng, C. K. Lin, J. J. M. Tan and L. H. Hsu, The g-good-neighbor conditional diagnosability of hypercube under PMC model, Applied Mathematics and Computation, Vol. 218, pp. 10406–10412, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Xu, K. Thulasiraman and X. D. Hu, Conditional diagnosability of matching composition networks under the PMC model, IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 56, pp. 875–879, 2009.

    Article  Google Scholar 

  8. Q. Zhu, On conditional diagnosability and reliability of the BC networks, The Journal of Supercomputing, Vol. 45, pp. 173–184, 2008.

    Article  Google Scholar 

  9. M. C. Yang, Conditional diagnosability of balanced hypercubes under the PMC model, Information Sciences, Vol. 222, pp. 754–760, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  10. L. Lin, L. Xu, D. Wang and S. Zhou, The g-good-neighbor conditional diagnosability of arrangement graphs, IEEE Transactions on on Dependable and Secure Computing, Vol. 15, No. 3, pp. 542–548, 2018.

    Article  Google Scholar 

  11. J. Yuan, A. X. Liu, X. Ma, X. L. Liu, X. Qin and J. F. Zhang, The g-good-neighbor conditional diagnosability of k-Ary n-Cubes under the PMC model and MM model, IEEE Transactions on Parallel and Distributed Systems, Vol. 26, pp. 1165–1177, 2015.

    Article  Google Scholar 

  12. J. Yuan, A. X. Liu, X. Qin, J. F. Zhang and J. Li, g-good-neighbor conditional diagnosability measures for 3-ary n-cube networks, Theoretical Computer Science, Vol. 626, pp. 144–162, 2016.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. K. Somani and O. Peleg, On diagnosability of large fault sets in regular topology-based computer systems, IEEE Transactions on Computers, Vol. 45, No. 8, pp. 892–903, 1996.

    Article  MATH  Google Scholar 

  14. M. Malek, A Comparison connection assignment for diagnosable of multiprocessor systems. In Proceedings of Seventh International Symposium on Computer Architecture, pages 31–36, 1980.

  15. J. Maeng and M. Malek, A comparison connection assignment for self-diagnosis of multiprocessors systems. In Proceedings of 11th International Symposium Fault-Tolerant Computing, pages 173–175, 1981.

  16. D. Li and M. Lu, The g-good-neighbor conditional diagnosability of star graphs under the PMC and MM* model, Theoretical Computer Science, Vol. 674, No. 25, pp. 53–59, 2017.

    Article  MathSciNet  MATH  Google Scholar 

  17. S. Y. Wang and W. P. Han, The g-good-neighbor conditional diagnosability of n-dimensional hypercubes under the MM* model, Information Processing Letters, Vol. 116, No. 9, pp. 574–577, 2016.

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Wang, Y. Lin and S. Wang, The 2-good-neighbor diagnosability of Cayley graphs generated by transposition trees under the PMC model and MM* model, Theoretical Computer Science, Vol. 628, No. 16, pp. 92–100, 2016.

    Article  MathSciNet  MATH  Google Scholar 

  19. J. R. Liang, H. Feng and X. Du, Intermittent fault diagnosability of interconnection networks, Journal of Computer Science and Technology, Vol. 32, pp. 1279–1287, 2017.

    Article  MathSciNet  Google Scholar 

  20. D. A. Thomas, K. Ayers and M. Pecht, The trouble not identified’ phenomenon in automotive electronics, Microelectronics Reliability, Vol. 42, No. 4–5, pp. 641–651, 2002.

    Article  Google Scholar 

  21. J. Gracia-Morn, J. C. Baraza-Calvo, D. Gil-Toms, L. J. Saiz-Adalid and P. J. Gil-Vicente, Effects of intermittent faults on the reliability of a reduced instruction set computing (RISC) microprocessor, IEEE Transactions on Reliability, Vol. 63, No. 1, pp. 114–153, 2014.

    Google Scholar 

  22. S. Mallela and G. M. Masson, Diagnosable systems for intermittent faults, IEEE Transactions on Computers, Vol. 27, No. 6, pp. 560–566, 1978.

    Article  MathSciNet  MATH  Google Scholar 

  23. W. A. Syed, S. Khan, P.l Phillips and S. Perinpanayagam, Intermittent fault finding strategies. In The 2nd International Through-life Engineering Services Conference, Procedia CIRP 11, pages 74–79, 2013.

  24. G. Chartrand and R. J. Wilson, The Petersen Graph, Graphs and Applications, pages 69–100, 1985.

  25. S. K. Das and A. K. Banerjee, Hyper Petersen network: yet another hypercube-like topology. In Proceedings of the 4th Symposium on the Frontiers of Massively Parallel Computation (Froniters92), pages 270–277, 1992.

  26. S. K. Das, S. Öhring and A. K. Banerjee, Embedding into hyper petersen networks: yet another hypercube-like interconnection topology, VLSI Design, Vol. 2, pp. 335–351, 1995.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hua Jiang.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, H., Liang, J. Intermittent Fault Diagnosability of Hyper Petersen Network. Int J Wireless Inf Networks 25, 332–339 (2018). https://doi.org/10.1007/s10776-018-0406-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10776-018-0406-3

Keywords

Navigation