#4740. A new method in designing group chain acceptance sampling plans (GChSP) for generalized exponential distribution

August 2026publication date
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Business, Management and Accounting (all);
Strategy and Management;
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More details about the manuscript: Science Citation Index Expanded or/and Social Sciences Citation Index
Abstract:
This paper introduces group chain acceptance sampling plans (GChSP) for a truncated life test at preassumed time by using the minimum angle method. The proposed method is an approach, where both risks associated with acceptance sampling, namely consumers’ and producer’s risks, are considered. Currently, the GChSP only considers the consumers risk (CR), which means the current plan only protects the consumer not the producer since it does not take into account the producers risk (PR) at all. There are six phases involved when designing the GChSP, which are (1) identifying the design parameters, (2) implementing the operating procedures, (3) deriving the probability of lot acceptance, (4) deriving the probability of zero or one defective, (5) deriving the proportion defective and (6) measuring the performance. The findings show that the optimal number of groups obtained satisfies both parties, i.e. consumer and producer, compared to the established GChSP, where the number of group calculated only satisfies the consumer not the producer. For the quality parameter, researchers have other options such as the median and the percentile. The proposed GChSP should provide an alternative for the industrial practitioners and for the inspection activity, as they have more options of the sampling plans before they finally decide to select one. This is the first paper to propose the minimum angle method for the GChSP, where both risks, CR and PR, are considered.
Keywords:
Consumers risk; Group chain acceptance sampling plans; Minimum angle method; Producers risk

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