TY - JOUR
T1 - On reliability analysis in priority standby redundant systems based on maximum entropy principle
AU - Hirata, Ryosuke
AU - Arizono, Ikuo
AU - Takemoto, Yasuhiko
N1 - Funding Information:
This work was supported by Japan Society for the Promotion of Science (JSPS) KAKENHI Grant Number 18K04611: “Evaluation of system performance and reliability under incomplete information environment”. We would like to appreciate the grant for our research.
Publisher Copyright:
© 2020 International Chinese Association of Quantitative Management.
PY - 2021
Y1 - 2021
N2 - There are many studies on standby redundant systems, since those are the most standard models for ensuring reliability in systems. Particularly, two-component priority standby redundant systems are one of the most fundamental and important redundant models in the reliability theory. In recent years, the procedure for evaluating the mean time to failure (MTTF) of the two-component priority standby redundant system has been proposed by using mixed Erlang distributions as approximate distributions. In this study, by expanding the idea on evaluating MTTF proposed in the previous research, an evaluation method for the variance of failure times (VOFT) in the two-component priority standby redundant system has been presented. Furthermore, we have proposed a procedure for deriving the reliability function in the system based on the maximum entropy principle by utilizing MTTF and VOFT. Through some numerical applications, the validity of the procedures for deriving the reliability function developed in this study has been shown.
AB - There are many studies on standby redundant systems, since those are the most standard models for ensuring reliability in systems. Particularly, two-component priority standby redundant systems are one of the most fundamental and important redundant models in the reliability theory. In recent years, the procedure for evaluating the mean time to failure (MTTF) of the two-component priority standby redundant system has been proposed by using mixed Erlang distributions as approximate distributions. In this study, by expanding the idea on evaluating MTTF proposed in the previous research, an evaluation method for the variance of failure times (VOFT) in the two-component priority standby redundant system has been presented. Furthermore, we have proposed a procedure for deriving the reliability function in the system based on the maximum entropy principle by utilizing MTTF and VOFT. Through some numerical applications, the validity of the procedures for deriving the reliability function developed in this study has been shown.
KW - Method of Lagrange multiplier
KW - maximum entropy principle
KW - reliability function
KW - system reliability
KW - two-component priority standby redundant system
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U2 - 10.1080/16843703.2020.1796207
DO - 10.1080/16843703.2020.1796207
M3 - Article
AN - SCOPUS:85088859893
VL - 18
SP - 117
EP - 133
JO - Quality Technology and Quantitative Management
JF - Quality Technology and Quantitative Management
SN - 1684-3703
IS - 1
ER -
