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OPTIMAL SEQUENTIAL CHECKPOINT INTERVALS FOR ERROR DETECTION

Kenichiro Naruse, Toshio Nakagawa and Sayori Maeji
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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

Chapter 15 in Recent Advances in Stochastic Operations Research II, 2009, pp 213-224 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThis 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.

Keywords: Operations Research; Uncertainty; Applied Probability; Stochastic Process; Optimization; Decision Science (search for similar items in EconPapers)
Date: 2009
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