Exploiting Machine Learning Techniques for the Enhancement of Acceptance Sampling

This paper proposes an innovative methodology for Acceptance Sampling by Variables, which is a particular category of Statistical Quality Control dealing with the assurance of products quality. Our contribution lies in the exploitation of machine learning techniques to address the complexity and remedy the drawbacks of existing approaches. More specifically, the proposed methodology exploits Artificial Neural Networks (ANNs) to aid decision making about the acceptance or rejection of an inspected sample. For any type of inspection, ANNs are trained by data from corresponding tables of a standard-s sampling plan schemes. Once trained, ANNs can give closed-form solutions for any acceptance quality level and sample size, thus leading to an automation of the reading of the sampling plan tables, without any need of compromise with the values of the specific standard chosen each time. The proposed methodology provides enough flexibility to quality control engineers during the inspection of their samples, allowing the consideration of specific needs, while it also reduces the time and the cost required for these inspections. Its applicability and advantages are demonstrated through two numerical examples.




References:
[1] ISO 9000. Available:
http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?
csnumber=42180
[2] D.C. Montgomery, Introduction to Statistical Quality Control, 5th ed.,
John Wiley & Sons, 2004
[3] A.J. Duncan, Quality Control and Industrial Statistics, 5th ed., Richard
Irwin IL, 1986.
[4] D.E. Rumelhart, G.E. Hinton, and R.J. Williams, "Learning internal
representations by Back-propagating errors", Nature, vol. 323, pp.533-
536, 1986.
[5] J. Alirezaie, M.E. Jernigan, and C. Nahmias, "Neural network based
segmentation of magnetic resonance images of the brain", in Proc. of t
he IEEE Nuclear Science Symposium and Medical Imaging Conference
Record, vol.1, pp.1397-1401, 1995.
[6] M. Arisawa and J. Watata, "Enhanced back propagation learning and its
application to business evaluation", in Proc. of the IEEE International
Conference on Neural Networks-94, vol. 1, pp.155-160, 1994.
[7] H.M. Lee, C.M. Chen, and T.C. Huang, "Learning efficiency
improvement of back-propagation algorithm by error saturation
prevention method", Neurocomputing, vol. 41, pp.125-143, 2001.
[8] B.A. Godfrey and A.B. Mundel, "Guide for selection of an acceptance
sampling plan", Journal of Quality Control, vol. 16 (1), pp.50-55,
January 1984.
[9] D.D. Perry, "Some Pros and Cons of MIL-STD-414", Naval Research
Logistics Quarterly, Vol. 32, pp.17- I9, 1985.
[10] E.G. Schilling, Acceptance sampling in Quality control (statistics, a
series of textbooks and monographs), CRC, 26 February 1982.
[11] T. Cheng, Y. Chen, "A GA mechanism for optimizing the design of
attribute double sampling". Automation in Construction, vol.16, pp. 345-
353, 2007.
[12] D. Vasudevan ,V. Selladurai, and P. Nagaraj, "Determination of closed
form Solution for acceptance sampling using ANN", Quality Assurance,
vol. 11, pp.43-61, 2004.
[13] easyNN-plus software. Available: http://www.easynn.com
[14] T.Y. Kwok and D.Y. Yeung, "Constructive algorithms for structure
learning in feed-forward neural network for regression problems", IEEE
Transactions on Neural Networks, vol. 8, pp. 654-662, 1997.