IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v120y2009i2p613-624.html
   My bibliography  Save this article

Economic design of an X chart for short-run production

Author

Listed:
  • Ho, Linda Lee
  • Trindade, Anderson Laécio Galindo

Abstract

The aim of this paper is to present an economical design of an X chart for a short-run production. The process mean starts equal to [mu]0 (in-control, State I) and in a random time it shifts to [mu]1>[mu]0 (out-of-control, State II). The monitoring procedure consists of inspecting a single item at every m produced ones. If the measurement of the quality characteristic does not meet the control limits, the process is stopped, adjusted, and additional (r-1) items are inspected retrospectively. The probabilistic model was developed considering only shifts in the process mean. A direct search technique is applied to find the optimum parameters which minimizes the expected cost function. Numerical examples illustrate the proposed procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:120:y:2009:i:2:p:613-624
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(09)00121-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Serel, Dogan A. & Moskowitz, Herbert, 2008. "Joint economic design of EWMA control charts for mean and variance," European Journal of Operational Research, Elsevier, vol. 184(1), pages 157-168, January.
    2. Panagiotidou, Sofia & Nenes, George, 2009. "An economically designed, integrated quality and maintenance model using an adaptive Shewhart chart," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 732-741.
    3. Chen, Yan-Kwang, 2004. "Economic design of control charts for non-normal data using variable sampling policy," International Journal of Production Economics, Elsevier, vol. 92(1), pages 61-74, November.
    4. 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.
    5. De Magalhaes, Maysa S. & Epprecht, Eugenio K. & Costa, Antonio F. B., 2001. "Economic design of a Vp chart," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 191-200, December.
    6. Nenes, George & Tagaras, George, 2007. "The economically designed two-sided Bayesian control chart," European Journal of Operational Research, Elsevier, vol. 183(1), pages 263-277, November.
    7. Makis, Viliam, 2009. "Multivariate Bayesian process control for a finite production run," European Journal of Operational Research, Elsevier, vol. 194(3), pages 795-806, May.
    8. Lee Ho, Linda & de Medeiros, Pledson Guedes & Borges, Wagner, 2007. "An alternative model for on-line quality monitoring for variables," International Journal of Production Economics, Elsevier, vol. 107(1), pages 202-222, May.
    9. 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.
    10. Tirthankar Dasgupta, 2003. "An economic inspection interval for control of defective items in a hot rolling mill," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 273-282.
    11. 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.
    12. Erwin M. Saniga, 1977. "Joint Economically Optimal Design of X\bar and R Control Charts," Management Science, INFORMS, vol. 24(4), pages 420-431, 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. Rodríguez-Castelán, Carlos & López-Calva, Luis Felipe & Barriga-Cabanillas, Oscar, 2023. "Market concentration, trade exposure, and firm productivity in developing countries: Evidence from Mexico," World Development, Elsevier, vol. 165(C).
    2. Jie Cai & Nan Li, 2019. "Growth Through Inter-sectoral Knowledge Linkages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 1827-1866.
    3. Huynh, Linh & Hoang, Hien & Tran, Hung, 2020. "Does FDI enhance provincial productivity? A panel data analysis in Vietnam," MPRA Paper 117620, University Library of Munich, Germany, revised Aug 2021.
    4. Nduhura Munga, Justin & Dauzère-Pérès, Stéphane & Yugma, Claude & Vialletelle, Philippe, 2015. "A mathematical programming approach for optimizing control plans in semiconductor manufacturing," International Journal of Production Economics, Elsevier, vol. 160(C), pages 213-219.
    5. Ou, Yanjing & Wu, Zhang & Goh, Thong Ngee, 2011. "A new SPRT chart for monitoring process mean and variance," International Journal of Production Economics, Elsevier, vol. 132(2), pages 303-314, August.
    6. Wu, Zhang & Yang, Mei & Khoo, Michael B.C. & Castagliola, Philippe, 2011. "What are the best sample sizes for the Xbar and CUSUM charts?," International Journal of Production Economics, Elsevier, vol. 131(2), pages 650-662, June.

    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. L Bessegato & R Quinino & L L Ho & L Duczmal, 2011. "Variable interval sampling in economical designs for online process control of attributes with misclassification errors," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1365-1375, July.
    2. Ho, Linda Lee & Quinino, Roberto C., 2012. "Integrating on-line process control and imperfect corrective maintenance: An economical design," European Journal of Operational Research, Elsevier, vol. 222(2), pages 253-262.
    3. 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.
    4. 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.
    5. Torng, Chau-Chen & Lee, Pei-Hsi & Liao, Nai-Yi, 2009. "An economic-statistical design of double sampling control chart," International Journal of Production Economics, Elsevier, vol. 120(2), pages 495-500, August.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Lim, S.L. & Khoo, Michael B.C. & Teoh, W.L. & Xie, M., 2015. "Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated," International Journal of Production Economics, Elsevier, vol. 166(C), pages 20-35.
    13. 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.
    14. 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.
    15. Iziy Azamsadat & Sadeghpour Gildeh Bahram & Monabbati Ehsan, 2017. "Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 49-61, June.
    16. Wu, Zhang & Yang, Mei & Khoo, Michael B.C. & Castagliola, Philippe, 2011. "What are the best sample sizes for the Xbar and CUSUM charts?," International Journal of Production Economics, Elsevier, vol. 131(2), pages 650-662, June.
    17. 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.
    18. Rui Jiang & Michael Kim & Viliam Makis, 2012. "A Bayesian model and numerical algorithm for CBM availability maximization," Annals of Operations Research, Springer, vol. 196(1), pages 333-348, July.
    19. Chenglong Li & Qin Su & Min Xie, 2016. "Economic modelling for statistical process control subject to a general quality deterioration," International Journal of Production Research, Taylor & Francis Journals, vol. 54(6), pages 1753-1770, March.
    20. 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.

    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:eee:proeco:v:120:y:2009:i:2:p:613-624. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.