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Optimal Sequential Checkpoint Intervals For Error Detection

In: Recent Advances In Stochastic Operations Research II

Author

Listed:
  • KENICHIRO NARUSE

    (Information Center, Nagoya Sangyo University, 3255-5 Arai-cho, Owariasahi 488-8711, Japan)

  • TOSHIO NAKAGAWA

    (Department of Marketing and Information Systems, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-cho, Toyota 470-0392, Japan)

  • SAYORI MAEJI

    (Institute of Consumer Sciences and Human Life, Kinjo Gakuin University, 1723 Oomori 2, Moriyama, Nagoya 463-8521, Japan)

Abstract

This paper adopts a modular redundant system as the recovery techniques of error detection and error masking on the finite process execution: Checkpoints are placed at sequential times Tk(k=1, 2, …, N). We consider two checkpoint models where error rates during the interval (Tk−1,Tk)(k=1, 2, …, N) increase with the number of checkpoints and with the original execution time. The mean times to completion of the process are obtained analytically, and optimal checkpoint intervals which minimize them are computed numerically by solving simultaneous equations. Furthermore, approximate checkpoint intervals are derived by denoting that the probability of the occurrence of errors during (Tk−1, Tk] is constant. It is shown that the approximate method is simple and these intervals give good approximations to optimal ones.

Suggested Citation

  • Kenichiro Naruse & Toshio Nakagawa & Sayori Maeji, 2009. "Optimal Sequential Checkpoint Intervals For Error Detection," World Scientific Book Chapters, in: Tadashi Dohi & Shunji Osaki & Katsushige Sawaki (ed.), Recent Advances In Stochastic Operations Research II, chapter 15, pages 213-224, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812791672_0015
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