Research Article

Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error

Volume: 8 Number: 2 July 1, 2025
Uttama Mishra *
PDF Download
Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
EN

Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error

Abstract

This study investigates the impact of measurement error on variable sampling schemes indexed by Acceptance Quality Limit (AQL) and Average Outgoing Quality Level (AOQL) while considering a known Coefficient of Variation (CV). We present procedures and tables for selecting appropriate variable sampling plans based on specified AQL and AOQL values. In our approach, rejected lots undergo 100% inspection to replace non-conforming items. The operating characteristic (OC) function is analyzed for various CV values, highlighting how measurement error influences the classification of product quality. Our findings emphasize the importance of understanding the relationship between measurement error, CV, AQL, and AOQL in quality control processes, ultimately aiming to enhance product quality and optimize inspection resources.

Keywords

AOQL, AQL, Coefficient of variation, Measurement error, OC function, Variable sampling scheme

References

  1. [1] D. C. Montgomery, Introduction to Statistical Quality Control, John Wiley & Sons, 8 edition, Aug. 2019.
  2. [2] Y. Ching-Ho, A. Muhammad, C. Chia-Hao, S. R. A. Khan, A. Liaquat, J. Chi-Hyuck, A variable sampling plan based on the coefficient of variation for lots resubmission, Sci. Rep., 13 (2023), 1-18, Article ID 22986. http://dx.doi.org/10.1038/s41598-023-50498-2
  3. [3] R. Sankle, J. Singh, Single sampling plans for variables indexed by aql and aoql with measurement error, J. Mod. Appl. Stat. Methods, 11(2) (2012), 396-406. http://dx.doi.org/10.22237/jmasm/1351743060
  4. [4] Y. Tong, Q. Chen, Sampling inspection by variables for coefficient of variation, Theor. Appl. Probab., 3 (1991), 315-327.
  5. [5] J. Wang, H. Xiao, A sampling test with varied coefficients as the quality indices, The Journal of Quantitative and Technical Economics, 2001(3) (2001), 117-119.
  6. [6] H. Melgaard, P. Thyregod, Acceptance sampling by variables under measurement uncertainty, Physica-Verlag HD, 6 (2001), 47-57. http://dx.doi.org/10.1007/978-3-642-57590-7 4
  7. [7] P. Wilrich, Variables Sampling Under Measurement Error, Wiley, Sept. 2014. http://dx.doi.org/10.1002/9781118445112.stat04214
  8. [8] Y. Aijun, L. Sanyang, D. Xiaojuan, Variables two stage sampling plans based on the coefficient of variation, J. Adv. Mech. Des. Syst. Manuf., 10(1) (2016), 1-12. http://dx.doi.org/10.1299/JAMDSM.2016JAMDSM0002
  9. [9] K. Govindaraju, V. Soundararajan, Selection of single sampling plans for variables matching the mil-std-105 scheme, J. Qual. Technol., 18(4) (1986), 234-238. http://dx.doi.org/10.1080/00224065.1986.11979017
  10. [10] C.W. Wu, W. Pearn, A variables sampling plan based on cpmk for product acceptance determination, Eur. J. Oper. Res., 184(2) (2008), 549-560. http://dx.doi.org/10.1016/j.ejor.2006.11.032

Details

Primary Language

English

Subjects

Applied Statistics

Journal Section

Research Article

Authors

Early Pub Date

June 14, 2025

Publication Date

July 1, 2025

Submission Date

November 8, 2024

Acceptance Date

April 29, 2025

Published in Issue

Year 2025 Volume: 8 Number: 2

DOI

https://doi.org/10.33434/cams.1581561

IZ

https://izlik.org/JA42DT23ZD

Cite

RIS / Bibtex
APA
Mishra, U. (2025). Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences, 8(2), 70-85. https://doi.org/10.33434/cams.1581561
AMA
1.Mishra U. Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences. 2025;8(2):70-85. doi:10.33434/cams.1581561
Chicago
Mishra, Uttama. 2025. “Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error”. Communications in Advanced Mathematical Sciences 8 (2): 70-85. https://doi.org/10.33434/cams.1581561.
EndNote
Mishra U (July 1, 2025) Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences 8 2 70–85.
IEEE
[1]U. Mishra, “Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error”, Communications in Advanced Mathematical Sciences, vol. 8, no. 2, pp. 70–85, July 2025, doi: 10.33434/cams.1581561.
ISNAD
Mishra, Uttama. “Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error”. Communications in Advanced Mathematical Sciences 8/2 (July 1, 2025): 70-85. https://doi.org/10.33434/cams.1581561.
JAMA
1.Mishra U. Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences. 2025;8:70–85.
MLA
Mishra, Uttama. “Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error”. Communications in Advanced Mathematical Sciences, vol. 8, no. 2, July 2025, pp. 70-85, doi:10.33434/cams.1581561.
Vancouver
1.Uttama Mishra. Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences. 2025 Jul. 1;8(2):70-85. doi:10.33434/cams.1581561

Creative Commons License   The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..