Failure-Correlated Opportunity-based Age Replacement Models

Dohi Tadashi

Okamura Hiroyuki

International Journal of Reliability, Quality and Safety Engineering

In this paper, we extend the existing opportunity-based age replacement policies by taking account of dependency between the failure time and the arrival time of a replacement opportunity for one-unit system. Based on the bivariate probability distribution function of the failure time and the arrival time of the opportunity, we focus on two opportunity-based age replacement problems and characterize the cost-optimal age replacement policies which minimize the relevant expected costs, with the hazard gradient, which is a vector-valued bivariate hazard rate. Through numerical examples with the Farlie–Gumbel–Morgenstern bivariate copula and the Gaussian bivariate copula having the general marginal distributions, we investigate the dependence of correlation between the failure time and the opportunistic replacement time on the age replacement policies.

Opportunity-based age replacement

correlation

bivariate distribution

copula

hazard gradient

initial hazard rate function

expected cost per unit time

eng

World Scientific Publishing

Electronic version of an article published as International Journal of Reliability, Quality and Safety Engineering, 27(2), 2040008 (2020) DOI: 10.1142/S0218539320400082 © World Scientific Publishing Company. https://www.worldscientific.com/worldscinet/ijrqse

This is not the published version. Please cite only the published version. この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。

[ISSN] 0218-5393

[ISSN] 1793-6446

[DOI] 10.1142/S0218539320400082

[DOI] https://doi.org/10.1142/S0218539320400082