Mathematics and Statistics Vol. 9(4), pp. 439 - 444
DOI: 10.13189/ms.2021.090404
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Two-Sided Group Chain Sampling Plans Based on Truncated Life Test for Generalized Exponential Distribution

Nazrina Aziz ^1,2,*, Zahirah Hasim ¹, Zakiyah Zain ^1,2
1 Department of Mathematics & Statistics, School of Quantitative Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah, Malaysia
² Institute of Strategic Industrial Decision Modelling (ISIDM), Universiti Utara Malaysia, 06010 UUM Sintok, Kedah, Malaysia

ABSTRACT

Acceptance sampling is an important technique in quality assurance; its main goal is to achieve the most accurate decision in accepting lot using minimum resources. In practice, this often translates into minimizing the required sample sizes for the inspection, while satisfying the maximum allowable risks by consumer and producer. Numerous sampling plans have been developed over the past decades, the most recent being the incorporation of grouping to enable simultaneous inspection in the two-sided chain sampling which considers information from preceding and succeeding samples. This combination offers improved decision accuracy with reduced inspection resources. To-date, two-sided group chain sampling plan (TSGCh) for characteristic based on truncated lifetime has only been explored for Pareto distribution of the 2^nd kind. This article introduces TSGCh sampling plan for products with lifetime that follows generalized exponential distribution. It focuses on minimizing consumer's risk and operates with three acceptance criteria. The equations that derived from the set conditions involving generalized exponential and binomial distributions are mathematically solved to develop this sampling plan. Its performance is measured on the probability of lot acceptance and number of minimum groups. A comparison with the established new two-sided group chain (NTSGCh) indicates that the proposed TSGCh sampling plan performs better in terms of sample size requirement and consumers' protection. Thus, this new acceptance sampling plan can reduce the inspection time, resources, and costs via smaller sample size (number of groups), while providing the desired consumers' protection.

KEYWORDS
Exponential Distribution, Group Chain Sampling, Probability of Lot Acceptance, Consumer's Risk, Number of Minimum Groups

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nazrina Aziz , Zahirah Hasim , Zakiyah Zain , "Two-Sided Group Chain Sampling Plans Based on Truncated Life Test for Generalized Exponential Distribution," Mathematics and Statistics, Vol. 9, No. 4, pp. 439 - 444, 2021. DOI: 10.13189/ms.2021.090404.

(b). APA Format:
Nazrina Aziz , Zahirah Hasim , Zakiyah Zain (2021). Two-Sided Group Chain Sampling Plans Based on Truncated Life Test for Generalized Exponential Distribution. Mathematics and Statistics, 9(4), 439 - 444. DOI: 10.13189/ms.2021.090404.