Sains Malaysiana 50(4)(2021): 1121-1129

http://doi.org/10.17576/jsm-2021-5004-22

 

New Group Chain Acceptance Sampling Plans (NGChSP-1) using Minimum Angle Method for Generalized Exponential Distribution

(Pelan Persampelan Baharu Penerimaan Kumpulan Berantai (NGChSP-1) menggunakan Kaedah Sudut Minimum untuk Taburan Eksponen Teritlak)

 

MOHD AZRI PAWAN TEH1, NAZRINA AZIZ1,2* & ZAKIYAH ZAIN1,2

 

1School of Quantitative Sciences (SQS), College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah Darul Aman, Malaysia

  2Institute of Strategic Industrial Decision Modelling (ISIDM), School of Quantitative Sciences (SQS), College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah Darul Aman, Malaysia

3Centre for Testing Measurement and Appraisal (CeTMA), Universiti Utara Malaysia, 06010 Sintok, Kedah Darul Aman, Malaysia

  Diserahkan: 12 Disember 2019/Diterima: 8 September 2020

 

ABSTRACT

The established group chain acceptance sampling plans (GChSP-1) functions with five acceptance criteria, while the modified group chain acceptance sampling plans (MGChSP-1) operates with three acceptance criteria. Since the acceptance criteria affect the performances of the sampling plans, therefore, this article suggests a balanced approach by introducing a new group of chain acceptance sampling plans (NGChSP-1), where it functions with four acceptance criteria. The NGChSP-1 is developed by using minimum angle method which caters for producer’s and consumer’s risks. The generalized exponential distribution is selected as the lifetime distribution and the simulation for the NGChSP-1 is conducted at various values of design parameters using the Scilab programming. The finding shows that the optimal number of groups and the corresponding smallest theta for NGChSP-1 are smaller compared to those for the GChSP-1. For illustration purposes, the NGChSP-1 is then applied to real data of air conditioning equipment.

 

Keywords: Generalized exponential distribution; minimum angle method; new group chain acceptance sampling plans (NGChSP-1)

 

ABSTRAK

Pelan persampelan penerimaan kumpulan berantai (GChSP-1) sedia ada berfungsi dengan lima kriteria penerimaan sementara pelan persampelan penerimaan kumpulan berantai yang diubah suai (MGChSP-1) beroperasi dengan tiga kriteria penerimaan. Memandangkan kriteria penerimaan mempengaruhi prestasi sesuatu pelan persampelan, kertas ini mencadangkan suatu pendekatan baharu yang seimbang dengan memperkenalkan pelan persampelan penerimaan kumpulan berantai baharu (NGChSP-1) dan pelan ini berfungsi dengan empat kriteria penerimaan. Pelan NGChSP-1 ini dibangunkan dengan menggunakan kaedah sudut minimum dengan mengambil kira risiko pengeluar dan risiko pengguna. Taburan eksponen teritlak dipilih sebagai taburan semasa hayat dan simulasi untuk NGChSP-1 dikendalikan pada pelbagai nilai reka bentuk parameter dengan menggunakan pengaturcaraan Scilab. Hasil keputusan menunjukkan bilangan kumpulan yang optimum dan nilai terkecil theta untuk NGChSP-1 lebih kecil dibandingkan dengan GChSP-1. Untuk tujuan ilustrasi, pelan NGChSP-1 kemudiannya diaplikasikan kepada data peralatan pendingin hawa.

 

Kata kunci: Kaedah sudut minimum; pelan persampelan penerimaan kumpulan berantai baharu; taburan eksponen teritlak

 

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*Pengarang untuk surat-menyurat; email: nazrina@uum.edu.my

 

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