The variable sample size and sampling interval run sum Max chart

被引:0
|
作者
Antzoulakos, D. L. [1 ]
Fountoukidis, K. G. [1 ]
Rakitzis, A. C. [1 ,2 ]
机构
[1] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus, Greece
[2] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus 18534, Greece
关键词
Adjusted average time to signal; average sample size; average sampling interval; Markov chain; single control chart; statistical process control; DESIGN;
D O I
10.1080/16843703.2024.2315837
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A variable sample size and sampling interval run sum Max chart (VSSI-RSMax) is proposed to efficiently monitor the mean and/or variability of a process. The VSSI-RSMax chart varies the sample size and sampling interval of the RSMax chart according to the current cumulative score. A Markov chain method is used to evaluate the performance of the proposed chart in terms of the average time to signal (ATS), the adjusted average time to signal (AATS), and the expected AATS (EAATS). The VSSI-RSMax chart is compared with other competitive single control charts, such as the standard fixed sample size and sampling interval (FSSI) Max chart, the VSSI-Max chart, the FSSI-RSMax chart, the FSSI Max-EWMA and the FSSI Max-CUSUM. Also, the implementation of the VSSI-RSMax chart in practice is demonstrated with an illustrative example.
引用
下载
收藏
页数:24
相关论文
共 50 条
  • [31] X over-bar chart with variable sample size and variable sampling intervals
    Wu, Jianping
    Gu, Ping
    Huadong Chuanbo Gongye Xueyuan Xuebao/Journal of East China Shipbuilding Institute, 1996, 10 (03):
  • [32] Optimal design of the adaptive sample size and sampling interval np control chart
    Wu, Z
    Luo, H
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2004, 20 (06) : 553 - 570
  • [33] Variable sampling interval run sum median charts with known and estimated process parameters
    Saha, Sajal
    Khoo, Michael B. C.
    Ng, P. S.
    Chong, Z. L.
    COMPUTERS & INDUSTRIAL ENGINEERING, 2019, 127 : 571 - 587
  • [34] A Variable Sampling Interval Control Chart for the Coefficient of Variation with Unknown Shift Size
    Tham, Lai Kuan
    Yeong, Wai Chung
    Khoo, Michael Boon Chong
    Lim, Sok Li
    Teoh, Wei Lin
    Ng, Peh Sang
    PROCEEDINGS OF THE 13TH INTERNATIONAL CONFERENCE ON INNOVATION AND MANAGEMENT, VOLS I & II, 2016, : 1251 - 1257
  • [35] A variable sampling interval EWMA chart for attributes
    Eugenio K. Epprecht
    Bruno F. T. Simões
    Flávia C. T. Mendes
    The International Journal of Advanced Manufacturing Technology, 2010, 49 : 281 - 292
  • [36] On the superiority of a variable sampling interval control chart
    Mahadik, Shashibhushan B.
    Shirke, Digambar T.
    JOURNAL OF APPLIED STATISTICS, 2007, 34 (04) : 443 - 458
  • [37] A variable sampling interval EWMA chart for attributes
    Epprecht, Eugenio K.
    Simoes, Bruno F. T.
    Mendes, Flavia C. T.
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2010, 49 (1-4): : 281 - 292
  • [38] (X)over-bar chart with variable sample size and sampling intervals
    Costa, AFB
    JOURNAL OF QUALITY TECHNOLOGY, 1997, 29 (02) : 197 - 204
  • [39] Variable Sample Size EWMA CV Chart Based on Expected Average Run Length
    Muhammad, Anis Nabila Binti
    Lin, Chong Zhi
    Chung, Yeong Wai
    Siew, Lam Weng
    4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019), 2019, 2138
  • [40] Statistical design of variable sample size and sampling interval (X)over-bar control charts with run rules
    Celano, G
    Costa, A
    Fichera, S
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2006, 28 (09): : 966 - 977