Economic design of the upper-sided synthetic chart with measurement errors. Issue 19 (1st October 2016)

• Record Type: Journal Article
• Authors: Hu, X.L.; Castagliola, P.; Sun, J.S.; Khoo, M.B.C.
• Is Part Of: International journal of production research. Volume 54:Issue 19(2016)
• Page Start: 5651
• Page End: 5670
• Publication Date: 2016-10-01
• Subjects: measurement errors -- statistical process control -- synthetic chart -- Taguchi loss function; Factory management -- Periodicals; 658.57
• DOI: 10.1080/00207543.2015.1109721
• Languages: English
• ISSNs: 0020-7543

Abstract

Abstract : Considering a quadratic Taguchi loss function for poor quality products, as well as measurement errors in the process characteristic, this paper proposes an economic model for the upper-sided synthetic chart allowing multiple measurements for each sample item. The steady-state ARL of this chart is computed using a Markov chain method and the optimal number of measurements are obtained through the minimisation of the total cost model. For the proposed economic and economic statistical model, numerical examples are presented to evaluate the effect of measurement errors on the upper-sided synthetic chart. Finally, the sensitivity analyses of the optimal chart parameters and the cost of the upper-sided synthetic chart are also investigated using different input parameter values. All the above results are verified through a wide range of the input parameter values. Two illustrative examples are also provided.