政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/58663
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113318/144297 (79%)
Visitors : 50972876      Online Users : 876
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/58663


    Title: 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
    Authors: 蔡瑋倫
    Tsai, Wei Lun
    Contributors: 楊素芬
    蔡瑋倫
    Tsai, Wei Lun
    Keywords: 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
    Date: 2012
    Issue Date: 2013-07-01 17:00:56 (UTC+8)
    Abstract: 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.
    Reference: [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.
    Description: 碩士
    國立政治大學
    統計研究所
    99354006
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0099354006
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

    Files in This Item:

    File SizeFormat
    400601.pdf1828KbAdobe PDF2122View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback