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

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  • Nader Ebrahimi

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.

Suggested Citation

  • Nader Ebrahimi, 1988. "Determining the sample size for a hybrid life test based on the cost function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 63-72, February.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:63-72
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-R
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    Cited by:

    1. Ritwik Bhattacharya, 2020. "Implementation of compound optimal design strategy in censored life-testing experiment," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1029-1050, December.
    2. Ritwik Bhattacharya & Biswabrata Pradhan, 2017. "Computation of optimum Type-II progressively hybrid censoring schemes using variable neighborhood search algorithm," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(4), pages 802-821, December.
    3. Ritwik Bhattacharya & Baidya Nath Saha & Graceila González Farías & Narayanaswamy Balakrishnan, 2020. "Multi-criteria-based optimal life-testing plans under hybrid censoring scheme," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 430-453, June.

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