IDEAS home Printed from https://ideas.repec.org/a/bpj/ecqcon/v22y2007i2p273-293n10.html
   My bibliography  Save this article

Economic Design of A Modified Variable Sample Size and Sampling Interval Chart

Author

Listed:
  • Mahadik Shashibhushan B.

    (Department of Statistics, D. R. K. College of Commerce, Kolhapur, India 416 002)

  • Shirke Digambar T.

    (Department of Statistics, Shivaji University, Kolhapur, India 416 004)

Abstract

A comprehensive economic cost function is derived for a modified variable sample size and sampling interval (MVSSI) chart. As a variable sample size and sampling interval, a variable sample size, a variable sampling interval, and a static charts are particular cases of an MVSSI chart, the model is directly applicable to these charts, too. The cost function can be used to obtain optimal design parameters of these charts that minimize the process control related cost per hour for given process and cost parameters. It can also be used to compare the economic performances of these charts. A numerical study shows that the optimal adaptive charts differ in their performance only marginally from each other. However, both the statistical and economic performances of an optimal MVSSI chart are superior to that of the other adaptive charts. A sensitivity analysis for a particular example reveals that the optimal design obtained using the cost function is relatively insensitive to errors in specifying various process and cost parameters.

Suggested Citation

  • Mahadik Shashibhushan B. & Shirke Digambar T., 2007. "Economic Design of A Modified Variable Sample Size and Sampling Interval Chart," Stochastics and Quality Control, De Gruyter, vol. 22(2), pages 273-293, January.
    • Handle: RePEc:bpj:ecqcon:v:22:y:2007:i:2:p:273-293:n:10
    DOI: 10.1515/EQC.2007.273
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/EQC.2007.273
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/EQC.2007.273?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. Antonio Costa & M. A. Rahim, 2001. "Economic design of X charts with variable parameters: The Markov chain approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(7), pages 875-885.
    2. Elart Collani, 1989. "Economically optimalc- andnp-control charts," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 36(1), pages 215-232, December.
    3. Fong-jung Yu & Jiang-liang Hou, 2006. "Optimization of design parameters for [image omitted] control charts with multiple assignable causes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 279-290.
    4. Bai, D. S. & Lee, K. T., 1998. "An economic design of variable sampling interval control charts," International Journal of Production Economics, Elsevier, vol. 54(1), pages 57-64, January.
    5. Prabhu, Sharad S. & Montgomery, Douglas C. & Runger, George C., 1997. "Economic-statistical design of an adaptive chart," International Journal of Production Economics, Elsevier, vol. 49(1), pages 1-15, March.
    Full references (including those not matched with items on IDEAS)

    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. 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. Celano, Giovanni & De Magalhães, Maysa S. & Costa, Antonio F.B. & Fichera, Sergio, 2011. "A stochastic shift model for economically designed charts constrained by the process stage configuration," International Journal of Production Economics, Elsevier, vol. 132(2), pages 315-325, August.
    3. Chen, Yan-Kwang & Hsieh, Kun-Lin & Chang, Cheng-Chang, 2007. "Economic design of the VSSI control charts for correlated data," International Journal of Production Economics, Elsevier, vol. 107(2), pages 528-539, June.
    4. Lin, Yu-Chang & Chou, Chao-Yu, 2005. "On the design of variable sample size and sampling intervals charts under non-normality," International Journal of Production Economics, Elsevier, vol. 96(2), pages 249-261, May.
    5. 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.
    6. Alireza Faraz & R. Kazemzadeh & M. Moghadam & Ahmad Parsian, 2012. "On the advantages of economically designed variable sample sizes and sampling intervals T 2 control chart: double warning lines scheme," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(4), pages 1323-1336, June.
    7. Zhang, Cai Wen & Xie, Min & Goh, Thong Ngee, 2008. "Economic design of cumulative count of conforming charts under inspection by samples," International Journal of Production Economics, Elsevier, vol. 111(1), pages 93-104, January.
    8. De Magalhaes, Maysa S. & Moura Neto, Francisco D., 2005. "Joint economic model for totally adaptive and R charts," European Journal of Operational Research, Elsevier, vol. 161(1), pages 148-161, February.
    9. De Magalhaes, Maysa S. & B. Costa, Antonio F. & Moura Neto, Francisco D., 2006. "Adaptive control charts: A Markovian approach for processes subject to independent disturbances," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 236-246, February.
    10. Linderman, Kevin & McKone-Sweet, Kathleen E. & Anderson, John C., 2005. "An integrated systems approach to process control and maintenance," European Journal of Operational Research, Elsevier, vol. 164(2), pages 324-340, July.
    11. Liu, J.Y. & Xie, M. & Goh, T.N. & Liu, Q.H. & Yang, Z.H., 2006. "Cumulative count of conforming chart with variable sampling intervals," International Journal of Production Economics, Elsevier, vol. 101(2), pages 286-297, June.
    12. 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.
    13. Nenes, George, 2011. "A new approach for the economic design of fully adaptive control charts," International Journal of Production Economics, Elsevier, vol. 131(2), pages 631-642, June.
    14. Ho, Linda Lee & Trindade, Anderson Laécio Galindo, 2009. "Economic design of an X chart for short-run production," International Journal of Production Economics, Elsevier, vol. 120(2), pages 613-624, August.
    15. Chan, L. Y. & Lai, C. D. & Xie, M. & Goh, T. N., 2003. "A two-stage decision procedure for monitoring processes with low fraction nonconforming," European Journal of Operational Research, Elsevier, vol. 150(2), pages 420-436, October.
    16. Xie, M. & Tang, X. Y. & Goh, T. N., 2001. "On economic design of cumulative count of conforming chart," International Journal of Production Economics, Elsevier, vol. 72(1), pages 89-97, June.
    17. Yang, Yit-Ming & Su, Chia-Yi & Pearn, W.L., 2010. "Economic design of x¯-control charts for continuous flow process with multiple assignable causes," International Journal of Production Economics, Elsevier, vol. 128(1), pages 110-117, November.
    18. Fong-jung Yu & Jiang-liang Hou, 2006. "Optimization of design parameters for [image omitted] control charts with multiple assignable causes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 279-290.
    19. 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.
    20. 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.

    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:bpj:ecqcon:v:22:y:2007:i:2:p:273-293:n:10. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.