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Average Failure Rate and Its Applications of Preventive Replacement Policies

In: Reliability and Statistical Computing

Author

Listed:
  • Xufeng Zhao

    (College of Economics and Management, Nanjing University of Aeronautics and Astronautics)

  • Jiajia Cai

    (College of Economics and Management, Nanjing University of Aeronautics and Astronautics)

  • Satoshi Mizutani

    (Aichi Institute of Technology)

  • Toshio Nakagawa

    (Aichi Institute of Technology)

Abstract

When a mission arrives at a random time and lasts for an interval, it becomes an important constraint to plan preventive replacement policies, as the unit should provide reliability and no maintenance can be done during the mission interval. From this viewpoint, this chapter firstly gives a definition of an average failure rate, which is based on the conditional failure probability and the mean time to failure, given that the unit is still survival at the mission arrival time. Next, age replacement models are discussed analytically to show that how the average failure rate function appears in the models. In addition, periodic replacement models with minimal repairs are discussed in similar ways. Numerical examples are given when the mission arrival time follows a gamma distribution and the failure time of the unit has a Weibull distribution.

Suggested Citation

  • Xufeng Zhao & Jiajia Cai & Satoshi Mizutani & Toshio Nakagawa, 2020. "Average Failure Rate and Its Applications of Preventive Replacement Policies," Springer Series in Reliability Engineering, in: Hoang Pham (ed.), Reliability and Statistical Computing, pages 229-244, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-43412-0_14
    DOI: 10.1007/978-3-030-43412-0_14
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