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Replacement Policies with a Random Threshold Number of Faults

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Proceedings of the Institute of Industrial Engineers Asian Conference 2013

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Abstract

Most systems fail when a certain amount of reliability quantities have exceeded their threshold levels. The typical example is cumulative damage model in which a system is subjected to shocks and suffers some damage due to shocks, and fails when the total damage has exceeded a failure level K. This paper proposes the following reliability model: Faults occur at a nonhomogeneous Poisson process and the system fails when N faults have occurred, which could be applied to optimization problems in computer systems with fault tolerance, and we suppose that the system is replaced before failure at a planned time T. Two cases where the threshold fault number N is constantly given and is a random variable are considered, we obtain the expected cost rates and discuss their optimal policies.

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Acknowledgments

This work is partially supported by Grant-in-Aid for Scientific Research (C) of Japan Society for the Promotion of Science under Grant No. 22500897 and No. 24530371; National Science Council of Taiwan NSC 100-2628-E-0330-002.

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Authors and Affiliations

  1. Aichi Institute of Technology, Toyota, Japan

    Xufeng Zhao & Toshio Nakagawa

  2. Fu Jen Catholic University, New Taipei, Taiwan

    Mingchih Chen

  3. Aichi University, Nagoya, Japan

    Kazunori Iwata

  4. Kinjo Gakuin University, Nagoya, Japan

    Syouji Nakamura

Authors
  1. Xufeng Zhao
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  2. Mingchih Chen
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  3. Kazunori Iwata
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  4. Syouji Nakamura
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  5. Toshio Nakagawa
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Corresponding author

Correspondence to Xufeng Zhao .

Editor information

Editors and Affiliations

  1. and Technology, Department of Industrial Management, National Taiwan University of Science, Taipei, 10607, Taiwan

    Yi-Kuei Lin

  2. and Technology, Department of Industrial Management, National Taiwan University of Science, Taipei, 10607, Taiwan

    Yu-Chung Tsao

  3. and Technology, Department of Industrial Management, National Taiwan University of Science, Taipei, 10607, Taiwan

    Shi-Woei Lin

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© 2013 Springer Science+Business Media Singapore

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Zhao, X., Chen, M., Iwata, K., Nakamura, S., Nakagawa, T. (2013). Replacement Policies with a Random Threshold Number of Faults. In: Lin, YK., Tsao, YC., Lin, SW. (eds) Proceedings of the Institute of Industrial Engineers Asian Conference 2013. Springer, Singapore. https://doi.org/10.1007/978-981-4451-98-7_19

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  • DOI: https://doi.org/10.1007/978-981-4451-98-7_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-4451-97-0

  • Online ISBN: 978-981-4451-98-7

  • eBook Packages: EngineeringEngineering (R0)

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