Generalized Family of Group Chain Sampling Plans Using Minimum Angle Method (MAM)

doi:10.13189/ms.2022.100205

Journals Information

Mathematics and Statistics Vol. 10(2), pp. 314 - 319
DOI: 10.13189/ms.2022.100205
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Generalized Family of Group Chain Sampling Plans Using Minimum Angle Method (MAM)

Mohd Azri Pawan Teh ¹^,*, Nazrina Aziz ¹^,2, 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

This research develops a generalized family of group chain sampling plans using the minimum angle method (MAM). The MAM is a method whereby both the producer's and consumer's risks are considered when designing the sampling plans. There are three sampling plans nested under the family of group chain acceptance sampling which are group chain sampling plans (GChSP-1), new two-sided group chain sampling plans (NTSGChSP-1), and two-sided group chain sampling plans (TSGChSP-1). The methodology applied is random values of the fraction defectives for both producer and consumer, and the optimal number of groups, is obtained using the Scilab software. The findings reveal that some of the design parameters manage to obtain the corresponding to the smallest angle, and some of the values fail to get the . The obtained in this research guarantees that the producer and the consumer are protected at most 10% from having defective items.

KEYWORDS
Consumer's Risk, Generalized Family of Group Chain Sampling Plans, Minimum Angle Method, Producer's Risk

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mohd Azri Pawan Teh , Nazrina Aziz , Zakiyah Zain , "Generalized Family of Group Chain Sampling Plans Using Minimum Angle Method (MAM)," Mathematics and Statistics, Vol. 10, No. 2, pp. 314 - 319, 2022. DOI: 10.13189/ms.2022.100205.

(b). APA Format:
Mohd Azri Pawan Teh , Nazrina Aziz , Zakiyah Zain (2022). Generalized Family of Group Chain Sampling Plans Using Minimum Angle Method (MAM). Mathematics and Statistics, 10(2), 314 - 319. DOI: 10.13189/ms.2022.100205.