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 AZIZ^1,2* & ZAKIYAH ZAIN^1,2

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  

Received: 12 December 2019/Accepted: 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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*Corresponding author; email: nazrina@uum.edu.my