政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/58663

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/58663

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政大機構典藏 > 商學院 > 統計學系 > 學位論文 > Item 140.119/58663

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題名:	韋柏分配下規格下限與X-bar 管制圖之經濟設計 Economic design of specification limit and X-bar control chart under Weibull distribution
作者:	蔡瑋倫 Tsai, Wei Lun
貢獻者:	楊素芬蔡瑋倫 Tsai, Wei Lun
關鍵詞:	經濟設計 X-bar 管制圖規格界限韋柏分配 Economic design X-bar control chart Specification limit Weibull distribution
日期:	2012
上傳時間:	2013-07-01 17:00:56 (UTC+8)
摘要:	To determine the economic design of control charts and the specification limits with minimum cost are two separate issues in previous research areas. In this study, we proposed a method to determine the optimal design parameters of X control charts and the specification limits simultaneously from an economic viewpoint. We also consider two types of X control charts: one is the economic X control chart and the other is the economic statistical X control chart. We obtain the optimal results by minimizing the expected cost per unit time for the-larger-the-better quality characteristic with a Weibull distribution. We consider the asymmetric control limits because of the asymmetric feature of theWeibull distribution. Also, we are considering the difference between monitoring the process by using an economic statistical X control chart and conducting a complete inspection plan. Which way is better, process control or inspection plan? In our data analysis of the two types of X control chart, we find that the optimal expected cost per unit time with complete inspection is lower than without complete inspection. This is because the coefficient of Taguchi’s quadratic loss function we set is too small. And the analysis shows us the significant parameters for the optimal expected cost per unit time and design parameters. At last, in our numerical examples for two different types of X control chart, we find that the performance of the economic X control chart is as good as the economic statistical one. However, we suggest the producer use the economic statistical X control chart with a complete inspection plan to obtain a lower expected cost per unit time and larger power of the control chart.
參考文獻:	[1] Ardia, D., Mullen, K., Peterson, B. and Ulrich, J. (2012), DEoptim: Differential evolution optimization in R. version 2.2-1. URL http://CRAN.R-project.org/package=DEoptim. [2] Chen, Y.K. and Chiou, K.C. (2005), “Optimal design of VSI X control charts for monitoring correlated samples,” Quality and Reliability Engineering International, 21(8), 757-768. [3] Chen, C.H. and Khoo, M.B.C. (2008), “Joint determination of optimum process mean and economic specification limits for rectifying inspection plan with inspection error,”Journal of the Chinese Institute of Industrial Engineers, 25(5), 389-398. [4] Cho, B. R. and Phillips, M. D. (1998), “Design of the optimum product specifications for S-type quality characteristics,” International Journal of Production Research, 36(2), 459-474. [5] Chou, C. Y., Chen, C.H. and Chen, C.H. (2006b), “Economic design of variable sampling intervals T-square control charts using genetic algorithms,” Expert Systems with Applications, 30(2), 233-242. [6] Chou, C.Y., Chen, C.H. and Liu, H.R. (2006a), “Economic design of EWMA charts with variable sampling intervals,” Quality and Quantity, 40(6), 879-896. [7] Chou, C.Y., Liu, H.R., Chen, C.H. and Huang, X.R. (2002), “Economic-statistical design of multivariate control charts using quality loss function,” Advanced Manufacturing Technology, 20(12), 916-924. [8] Duncan, A. J. (1956), “The economic design of X charts used to maintain current control of a process,” Journal of the American Statistical Association, 51(274),228-242. [9] Duncan, A. J. (1971), “The economic design of X charts when there is a multiplicity of assignable causes,” Journal of the American Statistical Association, 66(333),107-121. [10] Dutang, C., Goulet, V. and Pigeon, M. (2008), “actuar: An R package for actuarial science,” Journal of Statistical Software, 25(7), 1-37. [11] Elsayed, E.A. and Chen, A. (1994), “An economic design of X control chart using quadratic loss function,” International Journal of Production Research, 32(4), 873-887. [12] Erto, P., Pallotta, G. and Park, S. H. (2008), “An example of data technology product: a control chart for Weibull processes,” International Statistical Review, 76(2), 157-166. [13] Feng, Q. and Kapur, K.C. (2006), “Economic development of specifications for 100% inspection based on asymmetric quality loss function,” IIE Transactions, 38(8), 659-669. [14] Filho, J. C. S. S. and Yacoub, M. D. (2006), “Simple precise approximations to Weibull sums,” IEEE Communications Letters, 10(8), 614-616. [15] Kapur, K.C. (1988), “An approach for development of specifications for quality improvement,” Quality Engineering, 1(1), 63-77. [16] Kapur, K.C. and Cho, B.R. (1994), “Economic design and development of specifications,” Quality Engineering, 6(3), 401-417. [17] Lorenzen, T. J. and Vance, L. C. (1986), “The economic design of control charts: a unified approach,” Technometrics, 28(1), 3-10. [18] Montgomery, D. C. (1980), “The economic design of control charts: a review and literature survey,” Journal of Quality Technology, 12(2), 75-87. [19] Panagos, M. R., Heikes, R. G. and Montgomery, D. C. (1985), “Economic design of X control charts for two manufacturing process models,” Naval Research Logistics Quarterly, 32, 631-646. [20] Phillips, M. D. and Cho, B. R. (1998), “An empirical approach to designing product specifications: A case study,” Quality Engineering, 11(1), 91-100. [21] R Core Team (2012). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org/. [22] Taguchi, G. (1984), “The role of metrological control for quality control,” Proceedings of the International Symposium on Metrology for Quality Control in Production, 1-7. [23] Tang, K. (1988), “Economic design of product specifications for a complete inspection plan,” International Journal of Production Research, 26(2), 203-217. [24] Torng, C.C., Lee, P.H. and Liao, N.Y. (2009), “An economic-statistical design of double sampling X control chart,” International Journal of Production Economics, 120(2), 495-500. [25] Vommi, V.B. and Seetala, M.S.N. (2007), “A new approach to robust economic design of control charts,” Applied Soft Computing, 7(1), 211-228. [26] Yang, S.F. and Rahim, M.A. (2005), “Economic statistical process control for multivariate quality characteristics under Weibull shock model,” International Journal of Production Economics, 98(2), 215-226. [27] Yu, F.J. and Hou, J.L. (2006), “Optimization of design parameters for X control charts with multiple assignable causes,” Journal of Applied Statistics, 33(3), 279-290.
描述:	碩士國立政治大學統計研究所 99354006 101
資料來源:	http://thesis.lib.nccu.edu.tw/record/#G0099354006
資料類型:	thesis
顯示於類別:	[統計學系] 學位論文

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