Taguchi Loss Function,; quality cost,; target costing
Abstract :
[en] Taguchi introduced a new philosophy in quality control that accounts for the economic loss associated to process variation measured by deviations from the target value of a product quality characteristic. The Taguchi loss function has been considered in the design of control charts only for the computation of costs associated with nonconformities. This paper considers sample statistics based on the Taguchi loss function as a means to implement Shewhart control charts monitoring both the deviation from the target and dispersion of normally distributed quality characteristics. The aim of this proposed control chart is to perform on-line quality control of a process by monitoring its quality loss cost performance over time. To compute the quality loss performance, we consider a nominal-the-best quality characteristic. The statistical performance of the proposed control charts has been evaluated and compared with that of widely used control charts. Implementing target costing philosophy by means of one of the proposed charts is also discussed. An example illustrates the Taguchi control chart in a practical implementation.
Disciplines :
Quantitative methods in economics & management
Author, co-author :
Celano, Giovanni; University of Catania, Catania, Italy > aDepartment of Industrial Engineering,
Faraz, Alireza ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie
Saniga, Erwin; University of Delaware, Newark, Delaware 19716, USA > Department of Business Administration
Language :
English
Title :
Control Charts monitoring product’s loss to society
Alternative titles :
[en] Taguchi Control Charts
Publication date :
December 2014
Journal title :
Quality and Reliability Engineering International
ISSN :
0748-8017
eISSN :
1099-1638
Publisher :
John Wiley & Sons, Inc. - Engineering
Volume :
30
Issue :
8
Pages :
1393-1407
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique BELSPO - Belgian Science Policy Office
Funding text :
This research was supported by National Fund for Scientific Research (FNRS), Brussels, Belgium and IAP research network grant nr. P7/06
of the Belgian government (Belgian Science Policy).
Adams BM, Woodall WH. An analysis of Taguchi's on-line process-control procedure under a random-walk model. Technometrics 1989; 31(4): 401-413
Alexander SM, Dillman MA, Usher JS, Damonaran B. Economic design control charts using Taguchi loss function. Computers and Industrial Engineering 1995; 28: 671-679
Duncan AJ. The economic design of X charts used to maintain current control of a process. Journal of the American Statistical Association 1956; 51: 228-242
Elsayed EA, Chen A. An economic design of X control chart using quadratic loss function. International Journal of Production Research 1994; 32:873-887
Faraz A, Saniga E. Economic and economical statistical design of hotelling's T2 control chart with double warning lines. Quality and Reliability Engineering International 2011; 27(2): 125-139. DOI: 10.1002/qre.1095
Faraz A, Heuchenne C, Saniga E. Optimal T2 control chart with a double sampling scheme-an alternative to the MEWMA chart. Quality and Reliability Engineering International 2012; 28: 751-760. DOI: 10.1002/qre.1268
Faraz A, Saniga E. Multiobjective genetic algorithm approach to the economic statistical design of control charts with an application to X&S2 charts. Quality and Reliability Engineering International 2013; 29(3): 407-415. DOI: 10.1002/qre.1390
Kobayashi J, Arizono I, Takemoto Y. Economical operation of the X¯ S control chart indexed by Taguchi's loss function. International Journal of Production Research 2003 41(6): 1115-1132
Lorenzen TJ, Vance LC. The economic design of control charts: A unified approach. Technometrics 1986; 28: 3-10
Maghsoodloo S, Ozdemir G, Jordan V, Huang CH. Strengths and limitations of Taguchi's contributions to quality, manufacturing and process engineering. Journal of Manufacturing Systems 2004; 23(2): 73-126
Montgomerey DC. Statistical Quality Control: A Modern Introduction (6th edn). Wiley: New York, NY, U.S.A., 2009
Niaki STA, Ershadi MJ, Malaki M. Economic and economic-statistical designs of MEWMA control charts-a hybrid Taguchi loss, Markov chain, and genetic algorithm approach. International Journal of Advanced ManufacturingTechnology 2010; 48(4): 283-296
Reynolds MR, Ghosh BK. Designing control charts for means and variances. Proceedings of the 35th ASQ Annual Technical Conference, San Francisco (USA), 1981, 400-407
Safaei A, Kazemzadeh KH, Niaki S. Multi-objective economic statistical design of X control chart considering Taguchi loss function. International Journal of Advanced ManufacturingTechnology 2012 59(9): 1091-1101
Sauers DG. Using the Taguchi loss function to reduce common-cause variation. Quality Engineering 2000; 12(2): 245-252
Serel DA, Moskowitz H. Joint economic design of EWMA control charts for mean and variance. European Journal of Operational Research 2008; 184(1):157-168
Sidak Z. Rectangular confidence regions for the means of multivariate normal distributions. Journal of the American Statistical Association 1967; 62(31): 626-633
Spiring FA, Yeung AS. A general class of loss functions with industrial applications. Journal of Quality Technology 1998; 30(2): 152-162
Taguchi G, Elsayed EA, Hsiang TC. Quality Engineering in Production Systems. New York: McGraw-Hill, 1989
Wu HH. Using target concept in loss function and process capability indices to set up goal control limits. International Journal of Advanced ManufacturingTechnology 2004 24: 206-213
Yang SF. Using a Single Average Loss Control Chart to Monitor Process Mean and Variability, Communications in Statistics-Simulation and Computation. 2013; 00: 1-4. DOI: 10.1080/03610918.2012.667478
Yang SF. New VSI EWMA average loss control chart to monitor changes in the difference between the process mean and target and/or the process variability, Applied Mathematical Modelling. 2013; 00: 1-4. DOI: .