Continuous sampling plans: Proposal for a graphical approach

Continuous sampling plans: Proposal for a graphical approach

Maurice Pillet Stephen Blanc Thierry Gerth Fabien Dewaele

SYMME, Univ Savoie Mont Blanc, Domaine universitaire BP 80439 FR-74944 Annecy le vieux

Manuf. Horlogère ValFleurier, Les Sugits 21 - CH-2115 Buttes

Corresponding Author Email:, stephen.blanc; thierry.gerth; fabien.dewaele}
20 May 2015
6 October 2015
30 April 2016
| Citation

In customer-supplier relation, the acceptance sampling is a widespread practice despite the deployment of quality assurance. This quality control procedure aims to ensure the minimum quality of a batch from a supplier before acceptance. Different schemes for inspection are used (ISO 2859-1 / 5, ISO 3951-1 / 5) who often lead to important and costly sample sizes. Among the proposed scheme, continuous sampling plans proves less expensive constant efficiency. However there are no graphics sampling plans for continuous sampling plans when the standard deviation is unknown. This article offers a simple approach to implement in companies a continuous sampling plans for measurements in case unknown S.


acceptance sampling, measurement inspection, continuous sampling plans, operating characteristic curve

1. Introduction
2. Principe du contrôle progressif
3. Contrôle progressif pour garantir une capabilité
4. Validation de la démarche proposée
5. Conclusion

Aslam M., & Jun C. H. (2010). A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters. Journal of Applied Statistics, 37(3), 405-414.

Aslam M., & Mughal A. R. (2011). Economic Reliability Group Acceptance Sampling Plans Based on the Inverse-Rayleigh and the Log-Logistic Distributions. Economic Quality Control, 26(1), 15-22.

Balamurali S., Chi-Hyuck Jun (2007). Multiple dependent state sampling plans for lot acceptance based on measurement data, European Journal of Operational Research, Volume 180, Issue 3, 1 August 2007, p. 1221-1230.

Chen S., Y-Mien and Hsu Yu-Sheng (2004). Uniformly Most Powerful Test for Process Capability Index Cpk, Quality Technology & Quantitative Management vol. 1, n° 2, p. 257-269.

Ghosh B. K., & Sen P. K. (1991). Handbook of sequential analysis. CRC Press.

Hsu L. F., & Hsu J. T. (2012). Economic Design of Acceptance Sampling Plans in a Two-Stage Supply Chain. Advances in Decision Sciences.

Jamkhaneh E. B., Sadeghpour-Gildeh B., & Yari G. (2011). Inspection error and its effects on single sampling plans with fuzzy parameters. Structural and Multidisciplinary Optimization, 43(4), 555-560.

Li Y., Pu X., & Xiang D. (2011). Mixed Variables-Attributes Test Plans for Single and Double Acceptance Sampling under Exponential Distribution. Mathematical Problems in Engineering, 2011.

Nagata Y. and Nagahata H. (1994). Approximation formulas for the lower confidence limits of process capability indices. Okayama Economic Review, 25(4), 301-314.

Pearn W.L., Chien-Wei Wu (2007) An effective decision making method for product acceptance, Omega, vol. 35, n° 1, February 2007, p. 12-21.

Pillet M., Adragna P. A., Pillet D., Samper S., & Formosa F. (2005). Une approche du contrôle réception avec le tolérancement inertiel. Integrated Design and Production CPI 2005, Casablanca, Morocco.

Pillet M. (2012). Améliorer la productivité : déploiement industriel du tolérancement inertiel. Editions Eyrolles.

Sheu L. C., Yeh C. H., Yen C. H., & Chang C. H. (2014). Developing Acceptance Sampling Plans based on Incapability Index Cpp. Applied Mathematics & Information Sciences, 8(5).

Turanoğlu E., Kaya İ., & Kahraman C. (2012). Fuzzy acceptance sampling and characteristic curves. International Journal of Computational Intelligence Systems, 5(1), 13-29.

Wald A. and Wolfowitz J. (1945). Sampling Inspection Plans for Continuous Production which Insure a Prescribed Limit on the Outgoing Quality. Ann. Math. Statist. vol. 16, n°1, 1-116.

Wald A. (1947). Sequential Analysis. John Wiley and Sons, New York.

Wald A. and Wolfowitz J. (1948). Optimum character of the sequential probability ratio test. Ann. Math. Statist. 19, 326-339.

Wang Z., Huang D., Wang J., & Du Y. (2012, August). Design a multi-scale fuzzy sampling model for the quality inspection of massive ocean data. Agro-Geoinformatics, 2012 First International Conference on (p. 1-5). IEEE.

Wetherill G. B., & Chiu W. K. (1975). A review of acceptance sampling schemes with emphasis on the economic aspect. International Statistical Review, 191-210.

Wu C. W., & Pearn W. L. (2008). A variables sampling plan based on Cpmk for product acceptance determination. European Journal of Operational Research, 184(2), 549-560.