AQL Sampling Plan Proposal Based on Two-Stage Cluster Sampling in Production Systems with High Unit Product Amount

Year 2024, Volume: 27 Issue: 6, 2269 - 2277

Mustafa Deste , Ezgi Günaydın , Aziz Yurttaş

https://doi.org/10.2339/politeknik.1228663

Abstract

In this study, a proposal has been developed aimed at the establishment of an AQL sampling plan in enterprises that produce lots type with a high number of unit products and group packaging. In the developed model, two different sampling approaches were tested comparatively, based on the two-stage cluster sampling method approach. The application of the proposed model was carried out in a high-volume lots type bolt factory. In the first approach, the boxes (clusters) to be sampled were determined based on the number of boxes in the determined lot. In the second stage, the sample amount was determined by calculating the AQL over the unit number of products in the randomly selected boxes and an equal amount of sample was taken from the selected boxes. In the second approach, the boxes to be sampled were determined again based on the number of boxes in the determined lot, and the sample amount to be taken from the determined boxes was calculated based on the number of unit products in the whole lot. Trials were made for the acceptance quality limits of 2.5, 4 and 6.5 for both approaches and the acceptance/rejection statuses were compared.

Bu çalışmada, birim ürün adedi yüksek ve grup paketlemeli parti tipi üretim yapan işletmelerde AQL örnekleme planı oluşturulmasına yönelik bir öneri geliştirilmiştir. Geliştirilen modelde, iki aşamalı küme örnekleme yöntemi yaklaşımı temel alınarak iki farklı numune alma yaklaşımı karşılaştırmalı olarak test edilmiştir. Önerilen modelin uygulaması yüksek hacimli parti tipi üretim yapan bir cıvata fabrikasında gerçekleştirilmiştir. Birinci yaklaşımda, belirlenen partideki kutu adedi baz alınarak örneklem alınacak kutular (kümeler) belirlenmiştir. İkinci aşamada ise, rassal olarak seçilen kutulardaki birim ürün adedi üzerinden AQL hesaplaması yapılarak numune miktarı belirlenmiş ve seçilen kutulardan eşit miktarda örnek alınmıştır. İkinci yaklaşımda ise, yine belirlenen partideki kutu adedi baz alınarak örneklem alınacak kutular belirlenmiş olup belirlenen kutulardan alınacak numune miktarı partinin tamamındaki birim ürün adedi baz alınarak hesaplanmıştır. Her iki yaklaşım için 2.5, 4 ve 6.5 kabul kalite sınırları için denemeler yapılmış ve kabul/red durumları karşılaştırılmıştır.

Keywords

Acceptance Quality Limit, Two-Stage Cluster Sampling, High Unit Production, Kabuledilebilir-Kalite Limiti, İki-Aşamalı Küme Örneklemesi, Yüksek Birim Üretimi

AQL Sampling Plan Proposal Based on Two-Stage Cluster Sampling in Production Systems with High Unit Product Amount

Abstract

In this study, a proposal has been developed aimed at the establishment of an AQL sampling plan in enterprises that produce lots type with a high number of unit products and group packaging. In the developed model, two different sampling approaches were tested comparatively, based on the two-stage cluster sampling method approach. The application of the proposed model was carried out in a high-volume lots type bolt factory. In the first approach, the boxes (clusters) to be sampled were determined based on the number of boxes in the determined lot. In the second stage, the sample amount was determined by calculating the AQL over the unit number of products in the randomly selected boxes and an equal amount of sample was taken from the selected boxes. In the second approach, the boxes to be sampled were determined again based on the number of boxes in the determined lot, and the sample amount to be taken from the determined boxes was calculated based on the number of unit products in the whole lot. Trials were made for the acceptance quality limits of 2.5, 4 and 6.5 for both approaches and the acceptance/rejection statuses were compared.
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Bu çalışmada, birim ürün adedi yüksek ve grup paketlemeli parti tipi üretim yapan işletmelerde AQL örnekleme planı oluşturulmasına yönelik bir öneri geliştirilmiştir. Geliştirilen modelde, iki aşamalı küme örnekleme yöntemi yaklaşımı temel alınarak iki farklı numune alma yaklaşımı karşılaştırmalı olarak test edilmiştir. Önerilen modelin uygulaması yüksek hacimli parti tipi üretim yapan bir cıvata fabrikasında gerçekleştirilmiştir. Birinci yaklaşımda, belirlenen partideki kutu adedi baz alınarak örneklem alınacak kutular (kümeler) belirlenmiştir. İkinci aşamada ise, rassal olarak seçilen kutulardaki birim ürün adedi üzerinden AQL hesaplaması yapılarak numune miktarı belirlenmiş ve seçilen kutulardan eşit miktarda örnek alınmıştır. İkinci yaklaşımda ise, yine belirlenen partideki kutu adedi baz alınarak örneklem alınacak kutular belirlenmiş olup belirlenen kutulardan alınacak numune miktarı partinin tamamındaki birim ürün adedi baz alınarak hesaplanmıştır. Her iki yaklaşım için 2.5, 4 ve 6.5 kabul kalite sınırları için denemeler yapılmış ve kabul/red durumları karşılaştırılmıştır.

Keywords

Acceptance Quality Limit, Two-Stage Cluster Sampling, High Unit Production, Kabuledilebilir-Kalite Limiti, İki-Aşamalı Küme Örneklemesi, Yüksek Birim Üretimi

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