Double-Acceptance Sampling Plan for Exponentiated Fréchet Distribution with Known Shape Parameters

We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-9
Main Authors: Sridhar Babu, M., Srinivasa Rao, G., Rosaiah, K.
Format: Article
Language:English
Subjects:
Confidence intervals
Construction planning
Experiments
Failure
Hypotheses
Normal distribution
Parameters
Quality control
Sampling
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Summary:We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then the lot is approved; also, if at least two failures occur, it is rejected. In the first sample, if one failure is observed, then the second sample is taken and decided for the same length as the first one. The cumulative sample sizes of the first and second samples are determined on the basis of the stated confidence level of the consumer to ensure that the actual median is longer than the given life. As indicated by the various ratios of the actual median life to specified median lifetime, the operating characteristics are calculated and placed in presented tables. To decrease the risk of the producer at the predefined level, the minimum ratios of this sort are additionally obtained. Lastly, examples are provided for representation reasons for the proposed model.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/7308454