Quality Control Testing with Experimental Practical Illustrations under the Modified Lindley Distribution Using Single, Double, and Multiple Acceptance Sampling Plans

Quality control testing under acceptance sampling plans involves inspecting a representative sample of products or materials from a larger lot or batch to determine whether the lot meets predetermined quality standards. In this research, the modified Lindley distribution is used as a model for lifet...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-05, Vol.11 (9), p.2184
Main Authors: Tashkandy, Yusra, Emam, Walid, Ali, M. Masoom, Yousof, Haitham M., Ahmed, Basma
Format: Article
Language:English
Subjects:
Acceptance tests
amputated life test
average sample number
Binomial distribution
Characteristic functions
consumer’s risk
Food science
Manufacturers
Manufacturing
modified Lindley distribution
operating characteristic
Planning
Probability distribution
Process controls
Quality control
Quality management
Quality standards
Random variables
Sampling
single-stage sample sampling inspection plans
Statistical methods
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Summary:Quality control testing under acceptance sampling plans involves inspecting a representative sample of products or materials from a larger lot or batch to determine whether the lot meets predetermined quality standards. In this research, the modified Lindley distribution is used as a model for lifetime study. When a life test is amputated at a pre-appropriated time to decide on the admission or refusal of the submitted batches, the problems of the single, double, and multiple (three and four stages) acceptance sampling strategies are introduced. The optimal sample sizes are computed for single, double, and multiple acceptance sampling plans to ensure that the veritable mean life is greater than the prescribed mean life at the stipulated consumer’s risk. The operating characteristic functions are investigated at diverse quality levels. For single, double, and multiple acceptance sampling plans, the minimal ratios of the veritable mean life to the prescribed mean life at the established percent of the producer’s risk are obtained. To demonstrate the uses of single, double, and multiple, some numerical experiments are presented.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11092184