Catastrophic Failure and Cumulative Damage Models Involving Two Types of Extended Exponential Distributions

Hiroaki Mohri, Jun Ichi Takeshita*

*この研究の対応する著者

研究成果: Article査読

抄録

This study supposes a single unit and investigates cumulative damage and catastrophic failure models for the unit, in situations where the interarrival times between the shocks, and the magnitudes of the shocks, involve two different stochastic processes. In order to consider two essentially different stochastic processes, integer gamma and Weibull distributions are treated as distributions with two parameters and extensions of exponential distributions. With respect to the cumulative damage models, under the assumption that the interarrival times between shocks follow exponential distributions, the case in which the magnitudes of the shocks follow integer gamma distributions is analyzed. With respect to the catastrophic failure models, the respective cases in which the interarrival times between shocks follow integer gamma and Weibull distributions are discussed. Finally, the study provides some characteristic values for reliability in such models.

本文言語English
論文番号2141004
ジャーナルInternational Journal of Reliability, Quality and Safety Engineering
29
4
DOI
出版ステータスPublished - 2022 8月 1
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンス(全般)
  • 原子力エネルギーおよび原子力工学
  • 安全性、リスク、信頼性、品質管理
  • 航空宇宙工学
  • エネルギー工学および電力技術
  • 産業および生産工学
  • 電子工学および電気工学

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