Determining the sample size for a hybrid life test based on the cost function

Nader Ebrahimi

Naval Research Logistics (NRL), 1988, vol. 35, issue 1, 63-72

Abstract: The following experiment is considered. n units are tested simultaneously until either the rth failure occurs or a fixed time to is reached. In the first part of the manuscript, the failure times are assumed to be i.i.d. exponential with an unknown scale parameter 1/λ. The second part deals with the modification where failed units are replaced. In the third part, extensions to nonexponential failure times are outlined. Given r and to, the goal is to minimize the expected cost as a function of n. Hereby, the cost is defined through three components c1, c2, and c3, respectively, which are associated with (1) the time length of the experiment, (2) the number n of units tested, and (3) some fixed overall cost of the experiment, respectively.

Date: 1988
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Citations: View citations in EconPapers (3)

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https://doi.org/10.1002/1520-6750(198802)35:13.0.CO;2-R

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:35:y:1988:i:1:p:63-72

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