Skip to main content
SpringerLink
Log in

Fault-tolerance on boolean n-cube architectures

  • Session 12: Switching networks and hypercubes
  • Conference paper
  • First Online:
Dependable Computing — EDCC-1 (EDCC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 852))

Included in the following conference series:

  • 121 Accesses

Abstract

An approach to fault-tolerant Boolean n-cube architectures (FTBns) is proposed in this paper. We employ spares, including nodes, links and switches, to reconfigure a failed system so that system topology with its original dimension can be retained. The FTBn is designed in two levels. In the first level, we use a Boolean m-cube of 2m nodes with 2p, p≤m, spare nodes, and some switching elements to build a faulttolerant module (FTM). Then an FTBn, n≥m, is built in the second level by taking 2n−m FTMs, and augmenting several switching elements between two adjacent FTMs. We will show that each FTM can achieve full spare utilization. and also that the degree of each node maintains a constant n. A two-phase reconfiguration algorithm is developed to allocate an adequate spare node to replace a faulty node. Finally. the reliability and costs of the FTBn are evaluated, and we then show that the FTBn can achieve higher or the same reliability as previous comparable systems at less extra hardware cost.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. S. Alam and R. G. Meinem, “Fault-tolerance and reliable routing in augmented hypercube architecture,” Proc. of the IEEE Phoenix Conference on Computers and Communications, pp. 19–23. March 1989.

    Google Scholar 

  2. M. S. Alam and R. G. Melhem,“An efficient modular spare allocation scheme and its application to fault tolerant binary hypercubes,” IEEE Tran. Parallel Distributed Syst., Vol. 2, No. 1, pp. 117–126, 1991.

    Article  Google Scholar 

  3. P. Banerjee, “Strategies for reconfiguring hypercubes under fault,” Proc. 20th Int. Conf. Parallel Processing, 1990. pp. 210–216.

    Google Scholar 

  4. P. Banerjee, J. T. Rahmeh, G. Stunkel, V. S. Nair, K. Roy V. Balasubramanian and J. A. Abraham, “Algorithm-based fault tolerance on a hypercube multiprocessor,” IEEE Tran. Comput., Vol. 39, No. 9, pp. 1132–1145, 1990.

    Article  Google Scholar 

  5. Igor Bazovsky, Reliability Theory and Practice (Prentice-Hall, 1980)

    Google Scholar 

  6. S. C. Chau. A. L. Liestman, “A proposal for a fault-tolerant binary hypercube architecture,” in Proc. 19th Int. Symp. Fault Tolerant Computing, pp. 323–330. 1989.

    Google Scholar 

  7. M. S. Chen and K. G. Shin, “Message routing in an injured hypercube,” in Proc. 3rd Hypercube Concurrent Computers and Applications., pp. 312–317, 1988.

    Google Scholar 

  8. M. S. Chen and K. G. Shin, “Depth-first search approach for fault-tolerant routing in hypercube multicomputers,” IEEE Tran. Parallel Distributed Syst., Vol. 1, No. 2, pp. 152–159, 1990.

    Article  Google Scholar 

  9. M. S. Chen and K. G. Shin, “Adaptive fault-tolerant routing in hypercube multicomputers,” IEEE Tran. Comput., Vol. 39, No. 12, pp. 1406–1416, 1990.

    Article  Google Scholar 

  10. Y. Y. Chen and S. J. Upadhyaya, “Reliability. reconfiguration, and spare allocation issues in binary-tree architectures based on multiple-level redundancy,” IEEE Tran. Comput., Vol, 42, No. 6. 1993.

    Google Scholar 

  11. S. Dutt and J. P. Hayes, “Design and reconfiguration strategies for near-optimal fault-tolerant tree architectures, “ in Proc. 18th Fault Tolerant Computing Symp., pp. 328–333. 1988.

    Google Scholar 

  12. S. Dutt and J. P. Hayes, “An automorphic approach to the design of fault tolerant multiprocessors,” in Proc. 19th Int. Symp. Fault Tolerant Computing. 1989, pp. 496–503.

    Google Scholar 

  13. S. Dutt and J. P. Hayes, “On designing and reconfiguring k-fault-tolerant tree architectures,” IEEE Tran. Comput., Vol. C-39, pp. 490–503, 1990.

    Article  Google Scholar 

  14. S. Dutt and J. P. Hayes, “Some practical issues in the desgn of fault-tolerant multiprocessors,” IEEE Tran. Comput., Vol. 41, No. 5, pp. 588–598, 1992.

    Article  Google Scholar 

  15. G. C. Fox and J. G. Koller, “A dynamic load balancer on the Intel hypercube,” Proc. 3rd Conf. Hypercube Concurrent Computers and Applications, Pasadena, CA, 1988.

    Google Scholar 

  16. E. Chow, H. S. Madan, J. C. Peterson, D. Grunwald. and D. Reed, “Hyperswitch network for the hypercube computer,” in Proc. 15th Annu. Int. Symp. Comput. Architecture, May 30–June 2. 1988, pp. 90–99.

    Google Scholar 

  17. NCUBE Corp., “NCUBE/ten: An overview,” Beaverton, OR, Nov. 1985.

    Google Scholar 

  18. A. H. Esfahanian and S. L. Hakimi, “Fault-tolerant routing in Debruijn communication networks,” IEEE Tran. Comput. Vol. C-34. No. 9. pp. 777–788. 1982.

    Google Scholar 

  19. A. S. M. Hassan and V. K. Agrawal, “A fault-tolerant modular architecture for binary trees,” IEEE Tran. Comp., Vol. C-35, No. 4, pp. 356–361, 1986.

    Google Scholar 

  20. C. K. Kim and D. A. Reed, “Adaptive packet routing in a hypercube,” in Proc. 3rd Hypercube Concurrent Computers and Applications, 1988. pp. 625–630.

    Google Scholar 

  21. J. G. Kuhl and S. M. Reddy, “Distributed fault tolerance for large multiprocessor systems,” in Proc. 7th Annu. Int. Symp. Comput. Architecture, May 1980, pp. 23–30.

    Google Scholar 

  22. F. özgüner and C. Aykanat “A reconfiguration algorithm for fault tolerance in a hypercube multiprocessor,” Information Processing Letters, Vol. 29. No. 5. pp. 247–254, Nov., 1988.

    Article  Google Scholar 

  23. D. K. Pradhan and S. M. Reddy, “A fault-tolerant communication architecture for distributed systems,” IEEE Tran. Comput., Vol. C-31, No. 9. pp. 863–870. 1981.

    Google Scholar 

  24. D. K. Pradhan, “Fault-tolerant multiprocessor link and bus network architecture,” IEEE. Tran. Compul., Vol. 34. No. 1, pp. 33–45. 1985.

    Google Scholar 

  25. D. A. Rennels, “Fault tolerant computing: concepts and examples,” IEEE Tran. Comput., Vol. C-33. No. 12. pp. 1116–1129, 1984.

    MathSciNet  Google Scholar 

  26. D. A. Rennels, “On implementing fault-tolerance in binary hypercube,” in Proc. IEEE Fault Tolerant Computing. pp. 344–349, 1985.

    Google Scholar 

  27. Y. Saad and M. H. Schultz, “Topological properties of hypercube,” IEEE Tran. Comput., Vol. 37. No. 7. pp. 867–871, 1988.

    Article  Google Scholar 

  28. C. L. Seitz, “The cosmic cube,” Commun. ACM, Vol. 28, pp. 22–33, 1985.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computer and Information Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, R. O. C.

    Chu-Sing Yang

  2. Computer Center, Chinese Military Academy, Kaohsiung, Taiwan, R. O. C.

    Shun-Yue Wu

Authors
  1. Chu-Sing Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shun-Yue Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Klaus Echtle Dieter Hammer David Powell

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, CS., Wu, SY. (1994). Fault-tolerance on boolean n-cube architectures. In: Echtle, K., Hammer, D., Powell, D. (eds) Dependable Computing — EDCC-1. EDCC 1994. Lecture Notes in Computer Science, vol 852. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58426-9_157

Download citation

  • DOI: https://doi.org/10.1007/3-540-58426-9_157

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58426-1

  • Online ISBN: 978-3-540-48785-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation