政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54172

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54172

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政大機構典藏 > 商學院 > 統計學系 > 學位論文 > Item 140.119/54172

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題名:	最大利潤下規格上限與EWMA管制圖之設計 Design of upper specification and EWMA control chart with maximal profit
作者:	蔡佳宏 Tsai, Chia Hung
貢獻者:	楊素芬蔡佳宏 Tsai, Chia Hung
關鍵詞:	Economic design Specification EWMA control chart VSI control chart Markov chain Gamma distribution Optimization technique
日期:	2011
上傳時間:	2012-10-30 10:13:35 (UTC+8)
摘要:	The determination of economic control charts and the determination of specification limits with minimum cost are two different research topics. In this study, we first combine the design of economic control charts and the determination of specification limits to maximize the expected profit per unit time for the smaller the better quality variable following the gamma distribution. Because of the asymmetric distribution, we design the EWMA control chart with asymmetric control limits. We simultaneously determine the economic EWMA control chart and upper specification limit with maximum expected profit per unit time. Then, extend the approach to determine the economic variable sampling interval EWMA control chart and upper specification limit with maximum expected profit per unit time. In all our numerical examples of the two profit models, the optimum expected profit per unit time under inspection is higher than that of no inspection. The detection ability of the EWMA chart with an appropriate weight is always better than the X-bar probability chart. The detection ability of the VSI EWMA chart is also superior to that of the fixed sampling interval EWMA chart. Sensitivity analyses are provided to determine the significant parameters for the optimal design parameters and the optimal expected profit per unit time.
參考文獻:	[1] Ardia, D., Mullen, K., Peterson, BG. and Ulrich, J. (2011), DEoptim, Differential Evolution Optimization in R. URL http://CRAN.R-project.org/package=DEoptim. [2] Bai, D. S. and Lee, K. T. (1998), “An economic design of variable sampling interval control charts,” International Journal of Production Economics, 54, 57-64. [3] Cho, B. R. and Phillips, M. D. (1998a), “Design of the optimum product specifications for S-type quality characteristics,” International Journal of Production Research, 36(2), 459-474. [4] Cho, B. R. and Phillips, M. D. (1998b), “An Empirical Approach to Designing Product Specifications: A Case Study,” Quality Engineering, 11(1), 91-100. [5] Chou, C. Y., Chen, C. H. and Liu, H. R. (2006), “Economic Design of EWMA Charts with Variable Sampling Intervals,” Quality & Quantity, 40, 879–896. [6] Crowder, S. V. (1987), “A simple method for studying run length distributions of exponentially weight moving average control charts,” Technometrics, 29, 401–407. [7] Duncan, A. J. (1956), “The economic design of charts used to maintain current control of a process,” Journal of the American Statistical Association, 51(274), 228–242. [8] Feng, Q. and Kapur, K. C. (2006), “Economic development of specifications for 100% inspection based on asymmetric quality loss function,” IIE Transactions, 38, 659-669. [9] Hong, S. H. and Cho, B. R. (2007), “Joint optimization of process target mean and tolerance limits with measurement errors under multi-decision alternatives,” European Journal of Operational Research, 183, 327–335. [10] Hong, S. H., Kwon, H. M., Lee, M. K. and Cho, B. R. (2006), “Joint optimization in process target and tolerance limit for L-type quality characteristics,” International Journal of Production Research, 44(15), 1051-3060. [11] Kapur, K. C. (1988), “An approach for development of specifications for quality improvement,” Quality Engineering, 1(1), 63-77. [12] Montgomery, D. C. (1980), “The economic design of control charts: a review and literature survey,” Journal of Quality Technology, 12(2), 75–87. [13] Montgomery, D. C., Torng, J. C.-C., Cochran J. K. and Lawrence, F. P. (1995), “Statistically constrained economic design of the EWMA control chart,” Journal of Quality Technology, 27(3), 250–256. [14] Panagos, M. R., Heikes R. G. and Montgomery, D. C. (1985), “Economic design of control charts for two manufacturing process models,” Naval Research Logistics Quarterly, 32, 631-646. [15] Plackett, R. L. and Burman, J. P. (1946), “The Design of Optimum Multifactorial Experiments,” Biometrika, 33(4), 305-325. [16] R Development Core Team (2011), 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. [17] Reynolds, M. R. JR., Amin, R. W., Arnold, J. C. and Nachlas, J. A (1988), “ charts with variable sampling intervals,” Technometrics, 30(2), 181-192. [18] Roberts, S. W. (1959), “Control chart tests based on geometric moving averages,” Technometrics, 1, 239-250. [19] Saccucci, M. S. and Lucas, J. M. (1990), “Average run length for exponentially weighted moving average control schemes using the markov chain approach,” Journal of Quality Technology, 22, 154-162. [20] Yang, S. F., Cheng, T. C., Hung, Y. C. and Cheng, S. W. (2012), “A New Chart for Monitoring Service Process Mean,” Quality and Reliability Engineering International, 28(4), 377-386
描述:	碩士國立政治大學統計研究所 99354011 100
資料來源:	http://thesis.lib.nccu.edu.tw/record/#G0099354011
資料類型:	thesis
顯示於類別:	[統計學系] 學位論文

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