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Replacement Policies with a Random Threshold Number of Faults

  • Xufeng Zhao
  • Mingchih Chen
  • Kazunori Iwata
  • Syouji Nakamura
  • Toshio Nakagawa
Conference paper

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.

Keywords

Replacement Constant threshold Random threshold Faults 

Notes

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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Copyright information

© Springer Science+Business Media Singapore 2013

Authors and Affiliations

  • Xufeng Zhao
    • 1
  • Mingchih Chen
    • 2
  • Kazunori Iwata
    • 3
  • Syouji Nakamura
    • 4
  • Toshio Nakagawa
    • 1
  1. 1.Aichi Institute of TechnologyToyotaJapan
  2. 2.Fu Jen Catholic UniversityNew TaipeiTaiwan
  3. 3.Aichi UniversityNagoyaJapan
  4. 4.Kinjo Gakuin UniversityNagoyaJapan

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