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Sains Malaysiana 54(2)(2025): 611-620
http://doi.org/10.17576/jsm-2025-5402-25
Constructing
Bayesian New Group Chain Acceptance Sampling Plans (BNGChSP-1) using Tangent
Angle for Probabilistic Quality Region (PQR) and Limiting Quality Region (LQR)
(Membina Pelan Persampelan Rangkaian Kumpulan
Baharu Bayesian (BNGChSP-1) menggunakan Sudut Tangen untuk Wilayah Kualiti Kebarangkalian (PQR) dan Wilayah
Kualiti Had (LQR))
MOHD AZRI
PAWAN TEH1,*, NAZRINA AZIZ1,2,
WAQAR HAFEEZ3, MD AMIN ULLAH SHEIKH4 & AIMAN FIKRI
JAMALUDIN1
1School of Quantitative Sciences (SQS), UUM
College of Arts and Sciences, Universiti Utara
Malaysia, 06010 UUM Sintok, Kedah, Malaysia
Received: 15
April 2024/Accepted: 22 November 2024
Abstract
This
article develops Bayesian new group chain acceptance sampling plans (BNGChSP-1)
using the tangent angle for two distinct regions, namely the probabilistic
quality region (PQR) and the limiting quality region (LQR). The BNGChSP-1, which
makes use of past knowledge about the process variation, can be used as an
alternative to traditional plans for evaluating the processes that generate the
lots. The angle for both regions is calculated by using the tangent, and the
region with a smaller angle resembles the ideal operating characteristics (OC)
curve better than the region with a bigger angle. The finding shows that
the PQR generates a smaller angle than the LQR, suggesting that the PQR more
closely resembles the ideal OC curve compared to the LQR. The smaller angle
indicates that the PQR offers greater protection to both producers and
consumers than the LQR.
Keywords:
Bayesian new group chain acceptance sampling plans (BGChSP-1); limiting quality
region (LQR); probabilistic quality region (PQR); tangent angle
Abstrak
Artikel ini membincangkan pelan persampelan Bayesian baharu penerimaan kumpulan berantai (BGChSP-1) menggunakan sudut tangen untuk dua wilayah berbeza, iaitu wilayah kualiti kebarangkalian (PQR) dan wilayah kualiti terbatas (LQR).
BGChSP-1 ini, yang menggunakan pengetahuan terdahulu tentang proses variasi, boleh digunakan sebagai satu alternatif kepada pelan tradisi untuk menentukan proses yang menjana lot. Sudut untuk kedua-dua wilayah dihitung menggunakan tangen dan wilayah dengan sudut yang lebih kecil menyerupai lengkung cirian pengoperasian (OC) yang ideal dengan lebih baik berbanding wilayah dengan sudut yang lebih besar. Penemuan ini menunjukkan bahawa PQR menjana sudut yang lebih kecil berbanding LQR, mencadangkan bahawa PQR lebih menyerupai OC yang ideal berbanding LQR. Sudut yang lebih kecil menunjukkan bahawa PQR menawarkan perlindungan yang lebih baik kepada kedua-dua pengeluar dan pengguna berbanding LQR.
Kata kunci: Pelan persampelan Bayesian baharu penerimaan kumpulan berantai (BGChSP-1); sudut tangen; wilayah kualiti kebarangkalian (PQR); wilayah kualiti terbatas (LQR)
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