Abstract
The proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test, when a lifetime of the product follows exponentiated Weibull distribution (EWD). For the proposed plan, optimal parameters such as the number of preceding lots required for deciding whether to accept or reject the current lot, sample size, and rejection and acceptance numbers are obtained by the approach of two points on the operating characteristic curve (OC curve). Tables are constructed for various combinations of consumer and producer’s risks for various shape parameters. The proposed MDS sampling plan for EWD is demonstrated using the coronavirus (COVID-19) outbreak in China. The performance of the proposed sampling plan is compared with the existing single-sampling plan (SSP) when the quality of the product follows EWD.
Highlights
Introduction e demand for high-quality products by consumers has always put pressure on the manufacturing industry, which has resulted in time to time stretching its efficiency of production processes, to cater for consumer demand. e quality of the product management is based on the continuous manufacturing processes, and the final product could be tested for quality characteristics
For the continuous production processes, management is always done by using quality control charts, while sampling inspection is used for final product inspection by both consumers and producers, which, in contemporary literature, is referred to as acceptance sampling plan (ASP)
E levels of quality connected to consumer and producer’s risks have been referred to by quality control expertise as limiting quality level (LQL) and acceptable quality level (AQL), respectively. e field of ASP has experienced several improvements so far depending on the nature of the interest of the author and researcher. is paper intends to concentrate on time-truncated life that has proven to be more effective and gained popularity among acceptance sampling techniques
Summary
The operating procedure and designing methodology of the MDSSP are discussed for EWD. E proposed MDSSP is characterized by four parameters, namely, c1, c2, n, and m, where n is the sample size, m is the number of previous lots needed to make a decision, c2 is the maximum number of failed items for conditional acceptance, and c1 is the maximum number of failed items for unconditional acceptance. (1) When other parametric combinations are fixed, we noticed that as the termination ratio increases from 0.5 to 1.0, the required sample size n decreases. (2) It is interesting to note that as consumer’s risk decreases, the sample sizes increase when other parametric combinations are fixed. (4) In addition, we have noticed that sample size decreases when quantile value increases (i.e., from 25th percentile to 50th percentile) assuming that all other parametric combinations are fixed. (5) Results revealed that the increase in quantile ratio increases the producer’s probability oflot acceptance when other parametric combinations are fixed
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