Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2025, , 70 - 85, 01.07.2025

Uttama Mishra

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

Öz

Kaynakça

  • [1] D. C. Montgomery, Introduction to Statistical Quality Control, John Wiley & Sons, 8 edition, Aug. 2019.
  • [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] 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] Y. Tong, Q. Chen, Sampling inspection by variables for coefficient of variation, Theor. Appl. Probab., 3 (1991), 315-327.
  • [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] 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] P. Wilrich, Variables Sampling Under Measurement Error, Wiley, Sept. 2014. http://dx.doi.org/10.1002/9781118445112.stat04214
  • [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] 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] 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
  • [11] J. R. Singh, A. Sanvalia, Single sampling plan for variable indexed by aql and aoql with known coefficient of variation, Int. J. Comput. Sci. Eng., 5(10) (2017), 20-25. http://dx.doi.org/10.26438/ijcse/v5i10.2025
  • [12] S. W. Liu, S. W. Lin, C.W. Wu, A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming, Int. J. Prod. Res., 52(12) (2014), 3744-3754. http://dx.doi.org/10.1080/00207543.2014.886028
  • [13] M. H. Lee, M. B. C. Khoo, X. Chew, P. H. H. Then, Effect of measurement errors on the performance of coefficient of variation chart with short production runs, IEEE Access, 8 (2020), 72216-72228. http://dx.doi.org/10.1109/ACCESS.2020.2985410
  • [14] G. Srinivasa Rao, M. Aslam, R. A. K. Sherwani, M. A. Shehzad, C.H. Jun, Generalized multiple dependent state sampling plans for coefficient of variation, Commun. Stat. Theor. M., 51(20) (2022), 6990-7005. http://dx.doi.org/10.1080/03610926.2020.1869989
  • [15] G. S. Rao, M. Aslam, F. S. Alamri, C.H. Jun, Comparing the efficacy of coefficient of variation control charts using generalized multiple dependent state sampling with various run-rule control charts, Sci. Rep., 14 (2024), 1-17, Article ID 2726. http://dx.doi.org/10.1038/s41598-024-53296-6
  • [16] U. Shahzad, I. Ahmad, A. V. Garc´ıa-Luengo, T. Zaman, N. H. Al-Noor, A. Kumar, Estimation of coefficient of variation using calibrated estimators in double stratified random sampling, Mathematics, 11(1) (2023), Article ID 252, 17 pages. http://dx.doi.org/10.3390/math11010252

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

Yıl 2025, , 70 - 85, 01.07.2025

Uttama Mishra

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

  • [1] D. C. Montgomery, Introduction to Statistical Quality Control, John Wiley & Sons, 8 edition, Aug. 2019.
  • [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] 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] Y. Tong, Q. Chen, Sampling inspection by variables for coefficient of variation, Theor. Appl. Probab., 3 (1991), 315-327.
  • [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] 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] P. Wilrich, Variables Sampling Under Measurement Error, Wiley, Sept. 2014. http://dx.doi.org/10.1002/9781118445112.stat04214
  • [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] 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] 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
  • [11] J. R. Singh, A. Sanvalia, Single sampling plan for variable indexed by aql and aoql with known coefficient of variation, Int. J. Comput. Sci. Eng., 5(10) (2017), 20-25. http://dx.doi.org/10.26438/ijcse/v5i10.2025
  • [12] S. W. Liu, S. W. Lin, C.W. Wu, A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming, Int. J. Prod. Res., 52(12) (2014), 3744-3754. http://dx.doi.org/10.1080/00207543.2014.886028
  • [13] M. H. Lee, M. B. C. Khoo, X. Chew, P. H. H. Then, Effect of measurement errors on the performance of coefficient of variation chart with short production runs, IEEE Access, 8 (2020), 72216-72228. http://dx.doi.org/10.1109/ACCESS.2020.2985410
  • [14] G. Srinivasa Rao, M. Aslam, R. A. K. Sherwani, M. A. Shehzad, C.H. Jun, Generalized multiple dependent state sampling plans for coefficient of variation, Commun. Stat. Theor. M., 51(20) (2022), 6990-7005. http://dx.doi.org/10.1080/03610926.2020.1869989
  • [15] G. S. Rao, M. Aslam, F. S. Alamri, C.H. Jun, Comparing the efficacy of coefficient of variation control charts using generalized multiple dependent state sampling with various run-rule control charts, Sci. Rep., 14 (2024), 1-17, Article ID 2726. http://dx.doi.org/10.1038/s41598-024-53296-6
  • [16] U. Shahzad, I. Ahmad, A. V. Garc´ıa-Luengo, T. Zaman, N. H. Al-Noor, A. Kumar, Estimation of coefficient of variation using calibrated estimators in double stratified random sampling, Mathematics, 11(1) (2023), Article ID 252, 17 pages. http://dx.doi.org/10.3390/math11010252
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı İstatistik
Bölüm Makaleler
Yazarlar

Uttama Mishra 0000-0001-7959-7986

Erken Görünüm Tarihi 14 Haziran 2025
Yayımlanma Tarihi 1 Temmuz 2025
Gönderilme Tarihi 8 Kasım 2024
Kabul Tarihi 29 Nisan 2025
Yayımlandığı Sayı Yıl 2025

Kaynak Göster

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 Mishra U. Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error. Communications in Advanced Mathematical Sciences. Temmuz 2025;8(2):70-85. doi:10.33434/cams.1581561
Chicago 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, sy. 2 (Temmuz 2025): 70-85. https://doi.org/10.33434/cams.1581561.
EndNote Mishra U (01 Temmuz 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 U. Mishra, “Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error”, Communications in Advanced Mathematical Sciences, c. 8, sy. 2, ss. 70–85, 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 (Temmuz 2025), 70-85. https://doi.org/10.33434/cams.1581561.
JAMA 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, c. 8, sy. 2, 2025, ss. 70-85, doi:10.33434/cams.1581561.
Vancouver 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.

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