Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 49, Issue 15, Pages 3808-3820Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2019.1710203
Keywords
Age replacement; approximate replacement; failure rate; reliability; Weilbull distribution
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Funding
- National Natural Science Foundation of China [71801126]
- Natural Science Foundation of Jiangsu Province [BK20180412]
- Aeronautical Science Foundation of China [2018ZG52080]
- Fundamental Research Funds for the Central Universities [NR2018003]
- Japan Society for the Promotion of Science KAKENHI [18K01713]
- Grants-in-Aid for Scientific Research [18K01713] Funding Source: KAKEN
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It is always difficult to discuss the analytical formulas, in which optimum solutions of replacement policies satisfy, due to the mathematical complexity. This paper proposes several approximate calculations for age-based random replacement policies, such that the unit is replaced at time T, at random time Y-j (j = 1, 2, ...) over time T, and at random time Y-N for Y-j (j = 1, 2, ..., N) We use the inequality properties of the formulas and the bounds of the extended failure rate functions to find the approximate calculations of replacement times in analytical ways. It is shown from numerical examples that these approximate calculations would become useful references for the optimum age-based random replacement times.
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