Determination of Single Sampling Attribute Plans Based Upon Dodge Roaming Model with Application

DOI: https://doi.org/10.24086/cuesj.v8n2y2024.pp65-75
Keywords: Acceptance Quality Level, Bayesian sampling plans, Operating Characteristics, Statistical Quality Control, Average Sample size

Abstract

Bayesian sampling plans for production inspection involve using a sampling method to assess the features of the plan, under the assumption that defect rates fluctuate randomly among different production batches. This results in a likelihood distribution  that can be established through experience and the quality information at hand. In this study, the parameters  of a single Bayesian sampling plan were determined using the Beta-Binomial distribution, and were subsequently contrasted with parameters from other single sampling plans. Based on research findings, (Ala corporation for soft drinks) oversees the control of product quality. Since the variable fluctuates randomly between manufacturing batches, 120 batches were selected to calculate the defect rate by analyzing batch size and number of defective items. Applying Bayesian and decision-making models can lead to the development of a single sampling inspection procedure that closely approximates the actual quality level. When the decision-making model was used, the researchers discovered that the sample size was smaller and led to lower inspection costs compared to other inspection plans.

Downloads

Download data is not yet available.

Author Biographies

Dler H. Kadir, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq

Dler H. Kadir, is currently a full-time Assistant Professor at the Department of Statistics, College of Administrative and Economics at Salaheddin University-Erbil. He received my Ph.D. degree in the Department of Probability and Statistics at the University of Sheffield  in the UK, M.Sc. degree in Statistics from the University of Sulaymaniyah in Iraq, and a B.Sc. Degree in Statistics from Salahaddin University-Erbil. His research interest includes Bayesian inference, MCMC, and Statistical Modeling.

Azhin M. Khudhur, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Kurdistan Region - F.R. Iraq.

Azhin M. Khudhur, is currently working in the College of Administration and Economics in the Department of Statistics at Salahaddin University-Erbil. She was awarded a M.Sc. degree in Statistics and Informatics from the University of Salahaddin-Erbil in 2022, and a B.Sc. in Statistics from the University of Salahaddin in 2014. She was intrigued by the following research interests Bayesian Inference, MCMC, Statistical Modeling, and Time series.

Rebaz O. Yahya, Department of Business Administration, Cihan University-Erbil, Kurdistan Region, Iraq

Rebaz Othman  was awarded a B.Sc. in Statistics from the Salahaddin University-Erbil in 2010. He also received a M.Sc. degree in Mathematical Statistics at Salahaddin University-Erbil in 2016. He is an assistant Lecturer in the Department of Business Administration at Cihan University-Erbil.

AbdulRahim K. Rahi, Dijlah University College

AbdulRahim K. Rahi is currently a full-time Professor at the Department of Business Administration, at Dijlah University College. His research interest includes Operation Research, Quality Control, Bayesian inference, and Statistical Modeling

References

P. Banerjee. Sampling inspection procedures. Calcutta Statistical Association Bulletin, vol. 6, no. 3, pp. 132-148, 1955.

D. H. Kadir and A. R. K. Rahi Al-Harthy. Application of Bayesian Technique for Ala Pepsi Softdrink Company in Sampling Plan Design. University of Sulaimani, Iraq, 2007.

D. H. Kadir and A. R. K. Rahi. Applying the bayesian technique in designing a single sampling plan. Cihan University-Erbil Scientific Journal, vol. 7, no. 2, pp. 17-25, 2023.

A. Hald. Some limit theorems for the dodge-romig LTPD single sampling inspection plans. Technometrics, vol. 4, no. 4, pp. 497-513, 1962.

A. Ahmadi Yazdi and M. S. Fallahnezhad. Comparison between count of cumulative conforming sampling plans and Dodge- Romig single sampling plan. Communications in Statistics-Theory and Methods, vol. 46, no. 1, pp. 189-199, 2017.

C. H. Chen. Economic design of Dodge-Romig AOQL single sampling plans by variables with the quadratic loss function. Journal of Applied Science and Engineering, vol. 8, no. 4, pp. 313-318, 2005.

J. Klůfa. Economic aspects of the LTPD single sampling inspection plans. Agricultural Economics, vol. 61, no. 7, pp. 326-331, 2015.

H. F. Dodge and H. G. Roming. Sampling Inspection Tables. Wiley, United States, 1959.

W. C. Guenther. On the use of standard tables to obtain Dodge‐Romig LTPD sampling inspection plans. Naval Research Logistics Quarterly, vol. 18, no. 4, pp. 531-542, 1971.

A. Z. Salman. Using Decision-Making Methods to Build the Best Cost Function Model in Quality Control. Ph.D Thesis. Administration and Economics University of Baghdad, Baghdad, 1991.

A. Hald. Statistical Theory of Sampling Inspection by Attributes (Probability and Mathematical Statistics). Academic Press, London, New York, 1981.

D. Harold and R. Harry. Sampling Inspection Tables. Ediciones Revolucionarias. Wiley, New Jersey, U.S, 1959.

D. C. Montgomery. Introduction to Statistical Quality Control. John Wiley and Sons, New Jersey, U.S, 2007.

Published
2024-08-25
How to Cite
1.
Kadir D, Khudhur A, Yahya R, Rahi A. Determination of Single Sampling Attribute Plans Based Upon Dodge Roaming Model with Application. cuesj [Internet]. 25Aug.2024 [cited 26Jan.2025];8(2):65-. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/1231
Issue
Vol 8 No 2 (2024)
Section
Research Article

Copyright (c) 2024 Dler H. Kadir, Azhin M. Khudhur, Rebaz O. Yahya, AbdulRahim K. Rahi

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY-NC-ND 4.0] that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).