Sains Malaysiana 49(5)(2020): 1145-1152

http://dx.doi.org/10.17576/jsm-2020-4905-20

The Application of Lognormal Distribution on the New Two-Sided Group Chain Sampling Plan

(Pengaplikasian Taburan Lognormal ke atas Plan Persampelan Berangkai Dua Sisi secara Kumpulan yang Baharu)

MUHAMMAD FAROUK*, NAZRINA AZIZ & ZAKIYAH ZAIN

School of Quantitative Sciences, College of Arts and Science, Universiti Utara Malaysia, 06010 Sintok, Kedah Darul Aman, Malaysia

Received: 18 April 2019/Accepted: 24 January 2020

ABSTRACT

This paper gives emphasis on the technical aspect of acceptance criteria in acceptance sampling plans, more specifically the family of two-sided group chain sampling plans. The new two-sided complete group chain sampling plan (NTSCoGCh) operates with five acceptance criteria, while the two-sided group chain sampling plan (TS-GCh) operates with three acceptance criteria. Generally, the number of acceptance criteria has a direct influence on the probability of lot acceptance; the more criteria being accepted leads to higher probability of lot acceptance. This paper suggests a new, balanced plan for the family of two-sided group chain sampling plans. The plan, named the new two-sided group chain sampling plan (NTSGCh), operates with four acceptance criteria. The Lognormal distribution is used to represent the production sequence of manufactured products in this study. A time truncated life test simulation is carried out to obtain the minimum number of groups required and the probability of lot acceptance. The findings show that the NTSGCh outperformed its predecessors. In conclusion, the NTSGCh is a viable alternative for implementation in the industry.

Keywords: Acceptance sampling; lognormal distribution; truncated life test

ABSTRAK

Makalah ini memberi penekanan kepada aspek teknikal iaitu kriteria penerimaan di dalam persampelan penerimaan, terutamanya kepada gugusan pelan persampelan berangkai dua sisi secara berkumpulan. Pelan persampelan lengkap berangkai dua sisi secara berkumpulan yang baru (NTSCoGCh) beroperasi dengan menggunakan lima kriteria penerimaan, manakala pelan persampelan berangkai dua sisi secara berkumpulan (TS-GCh) beroperasi dengan menggunakan tiga kriteria penerimaan. Umumnya, bilangan kriteria penerimaan mempunyai pengaruh langsung pada kebarangkalian penerimaan lot; lebih tinggi bilangan kriteria penerimaan, maka kebarangkalian penerimaan lot juga meningkat. Makalah ini mencadangkan pendekatan baru dan lebih seimbang dalam persampelan penerimaan yang dinamakan pelan persampelan berangkai dua sisi secara berkumpulan yang baru (NTSGCh). Pelan ini beroperasi menggunakan empat kriteria penerimaan. Serakan Lognormal telah digunakan di dalam kajian ini. Simulasi ujian hayat terpenggal telah dijalankan untuk mendapatkan jumlah minima kumpulan dan juga kebarangkalian penerimaan lot. Keputusan kajian menunjukkan bahawa NTSGCh memberikan keputusan yang lebih baik berbanding kedua-dua pelan persampelan terdahulu. Kesimpulannya, NTSGCh merupakan satu alternatif yang baik untuk digunakan dalam proses pemeriksaan lot di industri.

Kata kunci: Persampelan penerimaan; taburan Lognormal; ujian hayat terpenggal

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*Corresponding author; email: faroukzainolkamal@gmail.com