### Journals Information

Mathematics and Statistics Vol. 10(2), pp. 308 - 313
DOI: 10.13189/ms.2022.100204
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## New Group Chain Sampling Plan (NGChSP-1) for Generalized Exponential Distribution

Nazrina Aziz 1,2,*, Tan Jia Xin 1, Zakiyah Zain 1,2, Mohd Azri Pawan Teh 1
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 criteria are the conditions imposed on any sampling plan to determine whether the lot is accepted or rejected. Group chain sampling plan (GChSP-1) was constructed according to the 5 acceptance criteria; modified group chain sampling plan (MGChSP-1) was derived with 3 acceptance criteria; later new group chain sampling plan (NGChSP-1) was introduced with 4 acceptance criteria where the NGChSP-1 balances the acceptance criteria between the GChSP-1 and MGChSP-1. Producers favor a sampling plan with more acceptance criteria because it reduces the probability of rejecting a good lot (producer risk), whereas consumers may prefer a sampling plan with fewer acceptance criteria as it reduces the probability of accepting a bad lot (consumer risk). The disparity in acceptance criteria creates a conflict between the two main stakeholders in acceptance sampling. In the literature, there are numerous methods available for developing sampling plans. To date, NGChSP-1 was developed using the minimum angle method. In this paper, NGChSP-1 was constructed with the minimizing consumer's risk method for generalized exponential distribution where mean product lifetime is used as quality parameter. There are six phases involved to develop the NGChSP-1 for different design parameters. Result shows the minimum number of groups decrease when the value of design parameters increases. The results of the performance comparison show that the NGChSP-1 is a better sampling plan than the GChSP-1 because it has a smaller number of groups and lower probability of lot acceptance than the GChSP-1. NGChSP-1 should offer better alternatives to industrial practitioners in sectors involving product life test.

KEYWORDS
Consumer's Risk, Generalized Exponential (GE) Distribution, Minimum Number of Groups, Probability of Lot Acceptance

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nazrina Aziz , Tan Jia Xin , Zakiyah Zain , Mohd Azri Pawan Teh , "New Group Chain Sampling Plan (NGChSP-1) for Generalized Exponential Distribution," Mathematics and Statistics, Vol. 10, No. 2, pp. 308 - 313, 2022. DOI: 10.13189/ms.2022.100204.

(b). APA Format:
Nazrina Aziz , Tan Jia Xin , Zakiyah Zain , Mohd Azri Pawan Teh (2022). New Group Chain Sampling Plan (NGChSP-1) for Generalized Exponential Distribution. Mathematics and Statistics, 10(2), 308 - 313. DOI: 10.13189/ms.2022.100204.