A variables-type multiple-dependent-state sampling plan based on the lifetime performance index under a Weibull distribution

To-Cheng Wang, Chien-Wei Wu and Ming-Hung Shu ()
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To-Cheng Wang: National Kaohsiung University of Science and Technology
Chien-Wei Wu: National Tsing Hua University
Ming-Hung Shu: National Kaohsiung University of Science and Technology

Annals of Operations Research, 2022, vol. 311, issue 1, No 24, 399 pages

Abstract: Abstract Verification and validation of product quality highly affects the success of product design and manufacturing processes as well as the long-term collaboration between buyers and suppliers. Lifetime testing for acceptance is the main bottleneck in verification and validation and often requires considerable time and expense, especially in the current high-product-yield era. To establish a cost-effective and risk-controllable life testing sampling scheme, we propose a variables-type multiple-dependent-state (MDS) sampling plan using the lifetime performance index under a Weibull distribution with Type-II right censoring. The design parameters of the lifetime-capable MDS sampling plan are formulated as optimization models to minimize the required number of testing failures subject to nonlinear constraints for the desired lifetime capability levels and allowable risks regulated by the supplier and buyer. Compared with variable single sampling plans, the plan proposed herein is more cost-effective sampling and has greater discriminatory power. The applicability of the proposed plan is demonstrated through an example.

Keywords: Acceptance sampling plan; Lifetime performance index; Multiple-dependent-state sampling plans; Weibull distribution; Type-II right censoring; OC curve (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10479-020-03655-z

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