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http://dx.doi.org/10.11627/jkise.2020.43.3.095

Determination of the Wear Limit to the Process Mean Shift Problem with Varying Product and Process Variance  

Lee, Do-Kyung (School of Industrial Engineering, Kumoh National Institute of Technology)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.43, no.3, 2020 , pp. 95-100 More about this Journal
Abstract
Machines and facilities are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. The representative type of the degeneration is wear of tool or machine. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore a periodic preventive resetting the process is necessary. The total cost consists of three items: adjustment cost (or replacement cost), non-conforming cost due to product out of upper or lower limit specification, and quality loss cost due to difference from the process target value and the product characteristic value among the conforming products. In this case, the problem of determining the adjustment period or wear limit that minimizes the total cost is called the 'process mean shift' problem. It is assumed that both specifications are set and the wear level can be observed directly. In this study, we propose a new model integrating the quality loss cost, process variance, and production volume, which has been conducted in different fields in previous studies. In particular, for the change in production volume according to the increasing in wear level, we propose a generalized production quantity function g(w). This function can be applied to most processes and we fitted the g(w) to the model. The objective equation of this model is the total cost per unit wear, and the determining variables are the wear limit and initial process setting position that minimize the objective equation.
Keywords
Process Mean Shift; Process Variance; Production Quantity; Quality Loss Function;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Kamat, S.J., A smoothed bayes control of a variable quality characteristic with linear shift, Journal of Quality Technology, 1976, Vol. 8, No. 2, pp. 98-104.   DOI
2 Lee, D.K., Determination of the retting time to the process mean shift by the loss function, Journal of Society of Korea Industrial and Systems Engineering, 2017, Vol. 40, No. 1, pp. 165-172.   DOI
3 Lee, D.K., Determination of wear limit and the initial position of tool for a machining process, Journal of Society of Korea Industrial and Systems Engineering, 1994, Vol. 17, No. 31, pp. 91-98.
4 Lee, J.H., Park, T.H., Kwon, H.M., Hong, S.H., and Lee, M.K., Optimum target values for manufacturing processes when drifting rate in the process mean is normally distributed, Journal of the Korean Society for Quality Management, 2010, Vol. 38, No. 4, pp. 98-104.
5 Makis, V., Optimal tool replacement with asymmetric quadratic loss, IIIE Transaction, 1996, Vol. 28, No. 6, pp. 463-466.   DOI
6 Manuele, J., Control chart for determining tool wear, Industrial Quality Control, 1945, Vol. 1, No. 6, pp. 7-10.
7 Park, D.K., Lee, J.S., and Jo, G.H., A study on the wearing analysis of insert Tip and Chip's shape in turning operations, Journal of the Korea Academia-Industrial cooperation Society, 2015, Vol. 16, No. 4, pp. 2430-2435.   DOI
8 Quesenberry, C.P., A SPG approach to compensating a tool-wear process, Journal of Quality Technology, 1988, Vol. 20, No. 4, pp. 220-229.   DOI
9 Schneider, H., Colm O'Cinneide, and Tang, K., Optimal production process subject to AOQL constraint, Naval Research Logistics Quarterly, 1988, Vol. 35, No. 3, pp. 383-396.   DOI
10 Rahim, M.A. and Tuffaha F., Integrated model for determining the optimal initial settings of the process mean and the optimal production run assuming quadratic loss functions, International Journal of Production Research, 2004, Vol. 42, No. 16, pp. 3281-3300.   DOI
11 Chen, C.H., Determining the optimum process mean based on asymmetric quality loss function and rectifying inspection plan, IEEE : Industrial Engineering Management Conference, 2004, pp. 1080-1084.
12 Ahn, G.H. and Jang J.S., Determination of starting value and the resetting time for a production process with linear shift in a process mean, Journal of the Korean Society for Quality Management, 1998, Vol. 26, No. 4, pp. 51-64.
13 Arcelus, F.J., Banerjee, P.K., and Chandra, R., Optimal production run for a normally distributed quality characteristics exhibiting non-negative shifts in process mean and variance, IIE Transactions, 1982, Vol. 14, No. 2, pp. 90-98.   DOI
14 Boyles, R.A., The taguchi capability index, Journal of Quality Technology, 1991, Vol. 23, No. 1, pp. 17-26.   DOI
15 Gibra, I.N., Optimal control processes subject to linear trends, The Journal of Industrial Engineering, 1967, Vol. 18, No. 1, pp. 35-41.