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

Yusra Tashkandy, Walid Emam, M. Masoom Ali, Haitham M. Yousof () and Basma Ahmed
Additional contact information
Yusra Tashkandy: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Walid Emam: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
M. Masoom Ali: Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, USA
Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt
Basma Ahmed: Department of Information System, Higher Institute for Specific Studies, Giza 12561, Egypt

Mathematics, 2023, vol. 11, issue 9, 1-28

Abstract: 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.

Keywords: average sample number; amputated life test; consumer’s risk; modified Lindley distribution; single-stage sample sampling inspection plans; operating characteristic; two-stage sample sampling inspection plans; multiple-sample sampling inspection plans; producer’s risk (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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