IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v38y2011i11p2459-2469.html
   My bibliography  Save this article

A modified economic-statistical design of the T-super-2 control chart with variable sample sizes and control limits

Author

Listed:
  • Asghar Seif
  • Alireza Faraz
  • C�dric Heuchenne
  • Erwin Saniga
  • M. B. Moghadam

Abstract

Recent studies have shown that using variable sampling size and control limits (VSSC) schemes result in charts with more statistical power than variable sampling size (VSS) when detecting small to moderate shifts in the process mean vector. This paper presents an economic-statistical design (ESD) of the VSSC T-super-2 control chart using the general model of Lorenzen and Vance [22]. The genetic algorithm approach is then employed to search for the optimal values of the six test parameters of the chart. We then compare the expected cost per unit of time of the optimally designed VSSC chart with optimally designed VSS and FRS (fixed ratio sampling) T-super-2 charts as well as MEWMA charts.

Suggested Citation

  • Asghar Seif & Alireza Faraz & C�dric Heuchenne & Erwin Saniga & M. B. Moghadam, 2011. "A modified economic-statistical design of the T-super-2 control chart with variable sample sizes and control limits," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(11), pages 2459-2469, January.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:11:p:2459-2469
    DOI: 10.1080/02664763.2011.559205
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2011.559205
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664763.2011.559205?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Alireza Faraz & Ahmad Parsian, 2006. "Hotelling’s T 2 control chart with double warning lines," Statistical Papers, Springer, vol. 47(4), pages 569-593, October.
    2. Chen, Yan-Kwang & Hsieh, Kun-Lin, 2007. "Hotelling's T2 charts with variable sample size and control limit," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1251-1262, November.
    3. Douglas C. Montgomery & Phillip J. Klatt, 1972. "Economic Design of T 2 Control Charts to Maintain Current Control of a Process," Management Science, INFORMS, vol. 19(1), pages 76-89, September.
    4. Chao-Yu Chou & Chung-Ho Chen & Hui-Rong Liu, 2006. "Economic Design of EWMA Charts with Variable Sampling Intervals," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(6), pages 879-896, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M. Abolmohammadi & A. Seif & M. H. Behzadi & M. B. Moghadam, 2021. "Economic statistical design of adaptive $$\bar{X}$$ X ¯ control charts based on quality loss functions," Operational Research, Springer, vol. 21(2), pages 1041-1080, June.
    2. Alireza Faraz & Giovanni Celano & Erwin Saniga & C. Heuchenne & S. Fichera, 2014. "The variable parameters T $$^{2}$$ 2 chart with run rules," Statistical Papers, Springer, vol. 55(4), pages 933-950, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alireza Faraz & Giovanni Celano & Erwin Saniga & C. Heuchenne & S. Fichera, 2014. "The variable parameters T $$^{2}$$ 2 chart with run rules," Statistical Papers, Springer, vol. 55(4), pages 933-950, November.
    2. A. F. B. Costa & M. A. G. Machado, 2008. "Bivariate control charts with double sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(7), pages 809-822.
    3. Liang Liu & Cong Feng & Hongwei Zhang & Xuehua Zhang, 2015. "Game Analysis and Simulation of the River Basin Sustainable Development Strategy Integrating Water Emission Trading," Sustainability, MDPI, vol. 7(5), pages 1-21, April.
    4. Naderkhani, Farnoosh & Makis, Viliam, 2016. "Economic design of multivariate Bayesian control chart with two sampling intervals," International Journal of Production Economics, Elsevier, vol. 174(C), pages 29-42.
    5. Yang, S.F. & Rahim, M.A., 2005. "Economic statistical process control for multivariate quality characteristics under Weibull shock model," International Journal of Production Economics, Elsevier, vol. 98(2), pages 215-226, November.
    6. W. Chiu, 1976. "On the estimation of data parameters for economic optimum 135-1135-1135-1-Charts," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 23(1), pages 135-147, December.
    7. Xiao, Xiao & Jiang, Wei & Luo, Jianwen, 2019. "Combining process and product information for quality improvement," International Journal of Production Economics, Elsevier, vol. 207(C), pages 130-143.
    8. Chen, Yan-Kwang, 2007. "Adaptive sampling enhancement for Hotelling's T2 charts," European Journal of Operational Research, Elsevier, vol. 178(3), pages 841-857, May.
    9. Amir Ahmadi-Javid & Mohsen Ebadi, 2017. "Economic Design of Memory-Type Control Charts: The Fallacy of the Formula Proposed by Lorenzen and Vance (1986)," Papers 1708.06160, arXiv.org.
    10. Leoni, Roberto Campos & Costa, Antonio Fernando Branco & Machado, Marcela Aparecida Guerreiro, 2015. "The effect of the autocorrelation on the performance of the T2 chart," European Journal of Operational Research, Elsevier, vol. 247(1), pages 155-165.
    11. Ali Salmasnia & Mohammadreza Namdar & Mina Abolfathi & Parinaz Ajaly, 2021. "Statistical design of a VSI-EWMA control chart for monitoring the communications among individuals in a weighted social network," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(3), pages 495-508, June.
    12. Jose Ruiz-Tamayo & Jose Antonio Vazquez-Lopez & Edgar Augusto Ruelas-Santoyo & Aidee Hernandez-Lopez & Ismael Lopez-Juarez & Armando Javier Rios-Lira, 2021. "Multivariate Pattern Recognition in MSPC Using Bayesian Inference," Mathematics, MDPI, vol. 9(4), pages 1-18, February.
    13. Reza Pourtaheri, 2022. "Economic Statistical Design for Three-level Control Charts with Variable Sample Size," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 130-145, May.
    14. Lee, Pei-Hsi & Torng, Chau-Chen & Liao, Li-Fang, 2012. "An economic design of combined double sampling and variable sampling interval X¯ control chart," International Journal of Production Economics, Elsevier, vol. 138(1), pages 102-106.
    15. Jolayemi, Joel K., 1995. "A power function model for determining sample sizes for the operations of multivariate control charts," Computational Statistics & Data Analysis, Elsevier, vol. 20(6), pages 633-641, December.
    16. Yan-Kwang Chen, 2009. "Economic design of T 2 control charts with the VSSI sampling scheme," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(1), pages 109-122, January.
    17. Amir Ahmadi-Javid & Mohsen Ebadi, 2021. "Economic design of memory-type control charts: The fallacy of the formula proposed by Lorenzen and Vance (1986)," Computational Statistics, Springer, vol. 36(1), pages 661-690, March.
    18. Tagaras, George, 2017. "New indices for the evaluation of the statistical properties of Bayesian x¯ control charts for short runsAuthor-Name: Nikolaidis, Yiannis," European Journal of Operational Research, Elsevier, vol. 259(1), pages 280-292.
    19. Wu, Jianmou & Makis, Viliam, 2008. "Economic and economic-statistical design of a chi-square chart for CBM," European Journal of Operational Research, Elsevier, vol. 188(2), pages 516-529, July.
    20. Y-K Chen, 2007. "Economic design of an adaptive T 2 control chart," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 337-345, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:japsta:v:38:y:2011:i:11:p:2459-2469. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.