Economic Design of Xbar Control Charts with Continuously Variable Sampling Intervals

被引:16
|
作者
Carolan, Christopher A. [2 ]
Kros, John F. [1 ]
Said, Said E. [2 ]
机构
[1] E Carolina Univ, Dept Mkt & Supply Chain Management, Coll Business, Greenville, NC 27858 USA
[2] E Carolina Univ, Dept Math, Coll Arts & Sci, Greenville, NC 27858 USA
关键词
control chart design; economic-statistical design; variable sampling intervals; statistical process control; simultaneous monitoring of process mean and variance; 2-STAGE SCREENING-PROCEDURE; (X)OVER-BAR CHARTS; MARKOV-CHAIN; RUN-LENGTH; PARAMETERS; QUALITY; SIZE; MODEL;
D O I
10.1002/qre.1050
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the context of economic design, a two-stage model is proposed that utilizes continuously variable sampling intervals. Specifically, each successive sampling interval is determined by the extremity of the latest sample. Modeling the situation as a Markov chain, the hourly cost is developed for any arbitrary set of design parameters. This proposed approach is found to be more economically desirable, possessing a smaller average out-of-control production time, when compared with a standard two-stage approach where the sampling interval alternates between two fixed values. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:235 / 245
页数:11
相关论文
共 50 条
  • [1] XBAR CHARTS WITH VARIABLE SAMPLING INTERVALS
    REYNOLDS, MR
    AMIN, RW
    ARNOLD, JC
    NACHLAS, JA
    [J]. TECHNOMETRICS, 1988, 30 (02) : 181 - 192
  • [2] XBAR-CHARTS WITH RUNS RULES AND VARIABLE SAMPLING INTERVALS
    CUI, RQ
    REYNOLDS, MR
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1988, 17 (03) : 1073 - 1093
  • [3] Economic design of EWMA charts with variable sampling intervals
    Chou, Chao-Yu
    Chen, Chung-Ho
    Liu, Hui-Rong
    [J]. QUALITY & QUANTITY, 2006, 40 (06) : 879 - 896
  • [4] Economic Design of EWMA Charts with Variable Sampling Intervals
    Chao-Yu Chou
    Chung-Ho Chen
    Hui-Rong Liu
    [J]. Quality and Quantity, 2006, 40 : 879 - 896
  • [5] Design of Variable Sampling Intervals Mean Control Charts
    Sun, Lirong
    [J]. PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND INDUSTRIAL ENGINEERING, VOLS I AND II, 2010, : 920 - 923
  • [6] Economic Design of Variable Sampling Intervals EWMA Control Charts under Binomial Distribution
    Xue Li
    [J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MECHATRONICS, ELECTRONIC, INDUSTRIAL AND CONTROL ENGINEERING, 2015, 8 : 746 - 749
  • [7] Economic Design of Cumulative Conformance Count Charts with Variable Sampling Intervals
    Chen, Yan-Kwang
    Chen, Chien-Yue
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2012, 37 (07) : 2079 - 2088
  • [8] Economic Design of Cumulative Conformance Count Charts with Variable Sampling Intervals
    Yan-Kwang Chen
    Chien-Yue Chen
    [J]. Arabian Journal for Science and Engineering, 2012, 37 : 2079 - 2088
  • [9] Economic-statistical design of variable sampling intervals EWMA standard deviation control charts
    Xue, Li
    [J]. Advances in Information Sciences and Service Sciences, 2012, 4 (19): : 278 - 286
  • [10] Sign control charts with variable sampling intervals
    Amin, RW
    Widmaier, O
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1999, 28 (08) : 1961 - 1985