IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v253y2016i3p639-647.html
   My bibliography  Save this article

Designing repetitive screening procedures with imperfect inspections: An empirical Bayes approach

Author

Listed:
  • Chun, Young H.

Abstract

A batch of expensive items, such as IC chips, is often inspected multiple times in a sequential manner to further discover more conforming items. After several rounds of screening, we need to estimate the number of conforming items that still remain in the batch. We propose in this paper an empirical Bayes estimation method and compare its performance with that of the traditional maximum likelihood method. In the repetitive screening procedure, another important decision problem is when to stop the screening process and salvage the remaining items. We propose various types of stopping rules and illustrate their procedures with a simulated inspection data. Finally, we explore various extensions to our empirical Bayes estimation method in multiple inspection plans.

Suggested Citation

  • Chun, Young H., 2016. "Designing repetitive screening procedures with imperfect inspections: An empirical Bayes approach," European Journal of Operational Research, Elsevier, vol. 253(3), pages 639-647.
    • Handle: RePEc:eee:ejores:v:253:y:2016:i:3:p:639-647
    DOI: 10.1016/j.ejor.2016.03.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221716301138
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2016.03.003?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. Young Chun, 2009. "Improving product quality by multiple inspections: Prior and posterior planning of serial inspection procedures," IISE Transactions, Taylor & Francis Journals, vol. 41(9), pages 831-842.
    2. Ding, Jie & Gong, Linguo, 2008. "The effect of testing equipment shift on optimal decisions in a repetitive testing process," European Journal of Operational Research, Elsevier, vol. 186(1), pages 330-350, April.
    3. Chun, Young H. & Sumichrast, Robert T., 2007. "Bayesian inspection model with the negative binomial prior in the presence of inspection errors," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1188-1202, November.
    4. Jihong Ou & Lawrence M. Wein, 1996. "Sequential Screening in Semiconductor Manufacturing, II: Exploiting Lot-to-Lot Variability," Operations Research, INFORMS, vol. 44(1), pages 196-205, February.
    5. Jie Ding & Betsy S. Greenberg & Hirofumi Matsuo, 1998. "Repetitive Testing Strategies When the Testing Process Is Imperfect," Management Science, INFORMS, vol. 44(10), pages 1367-1378, October.
    6. Quinino, R. C. & Lee Ho, L., 2004. "Repetitive tests as an economic alternative procedure to control attributes with diagnosis errors," European Journal of Operational Research, Elsevier, vol. 155(1), pages 209-225, May.
    7. Young H. Chun, 2008. "Bayesian Analysis of the Sequential Inspection Plan via the Gibbs Sampler," Operations Research, INFORMS, vol. 56(1), pages 235-246, February.
    8. Young Chun, 2010. "Bayesian inspection model for the production process subject to a random failure," IISE Transactions, Taylor & Francis Journals, vol. 42(4), pages 304-316.
    9. Douglas G. Bonett & J. Arthur Woodward, 1994. "Sequential Defect Removal Sampling," Management Science, INFORMS, vol. 40(7), pages 898-902, July.
    10. Duffuaa, S.O. & Khan, Mehmood, 2008. "A general repeat inspection plan for dependent multicharacteristic critical components," European Journal of Operational Research, Elsevier, vol. 191(2), pages 374-385, December.
    11. Mauro Gasparini & Harald Nusser & Jeffrey Eisele, 2004. "Repeated screening with inspection error and no false positive results with application to pharmaceutical pill production," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(1), pages 51-62, January.
    12. Gong, Linguo, 2012. "The effect of testing errors on a repetitive testing process," European Journal of Operational Research, Elsevier, vol. 220(1), pages 115-124.
    13. Martin R. Young & Wayne S. DeSarbo & Vicki G. Morwitz, 1998. "The Stochastic Modeling of Purchase Intentions and Behavior," Management Science, INFORMS, vol. 44(2), pages 188-202, February.
    14. Donald A. Berry & Roy F. Mensch, 1986. "Discrete Search with Directional Information," Operations Research, INFORMS, vol. 34(3), pages 470-477, June.
    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. Ye, Yuan & Lu, Yonggang & Robinson, Powell & Narayanan, Arunachalam, 2022. "An empirical Bayes approach to incorporating demand intermittency and irregularity into inventory control," European Journal of Operational Research, Elsevier, vol. 303(1), pages 255-272.
    2. Pala, Ali & Zhuang, Jun, 2018. "Security screening queues with impatient applicants: A new model with a case study," European Journal of Operational Research, Elsevier, vol. 265(3), pages 919-930.

    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. Gong, Linguo, 2012. "The effect of testing errors on a repetitive testing process," European Journal of Operational Research, Elsevier, vol. 220(1), pages 115-124.
    2. Chun, Young H., 2012. "Monte Carlo analysis of estimation methods for the prediction of customer response patterns in direct marketing," European Journal of Operational Research, Elsevier, vol. 217(3), pages 673-678.
    3. Costa Quinino, Roberto da & Colin, Emerson C. & Ho, Linda Lee, 2010. "Diagnostic errors and repetitive sequential classifications in on-line process control by attributes," European Journal of Operational Research, Elsevier, vol. 201(1), pages 231-238, February.
    4. Hassin, Refael & Sarid, Anna, 2018. "Operations research applications of dichotomous search," European Journal of Operational Research, Elsevier, vol. 265(3), pages 795-812.
    5. Young H. Chun, 2008. "Bayesian Analysis of the Sequential Inspection Plan via the Gibbs Sampler," Operations Research, INFORMS, vol. 56(1), pages 235-246, February.
    6. Ferguson, Thomas S., 1996. "A problem of minimax estimation with directional information," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 205-211, February.
    7. Koert Van Ittersum, 2012. "The effect of decision makers’ time perspective on intention–behavior consistency," Marketing Letters, Springer, vol. 23(1), pages 263-277, March.
    8. 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.
    9. Nguyen, Cathy & Faulkner, Margaret & Yang, Song & Williams, John & Tong, Luqiong, 2022. "Mind the gap: Understanding the gap between intentions and behaviour in the charity context," Journal of Business Research, Elsevier, vol. 148(C), pages 216-224.
    10. Xu, Xun & Jackson, Jonathan E., 2019. "Examining customer channel selection intention in the omni-channel retail environment," International Journal of Production Economics, Elsevier, vol. 208(C), pages 434-445.
    11. B. Larivière & D. Van Den Poel, 2005. "Investigating the post-complaint period by means of survival analysis," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 05/299, Ghent University, Faculty of Economics and Business Administration.
    12. Lee, Hyun-Joo & Yang, Kiseol, 2013. "Interpersonal service quality, self-service technology (SST) service quality, and retail patronage," Journal of Retailing and Consumer Services, Elsevier, vol. 20(1), pages 51-57.
    13. Kemp, Katherine & Insch, Andrea & Holdsworth, David K. & Knight, John G., 2010. "Food miles: Do UK consumers actually care?," Food Policy, Elsevier, vol. 35(6), pages 504-513, December.
    14. Chun, Young H. & Sumichrast, Robert T., 2007. "Bayesian inspection model with the negative binomial prior in the presence of inspection errors," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1188-1202, November.
    15. Berg, Nathan & Preston, Kate L., 2017. "Willingness to pay for local food?: Consumer preferences and shopping behavior at Otago Farmers Market," Transportation Research Part A: Policy and Practice, Elsevier, vol. 103(C), pages 343-361.
    16. Barry Anderson & Emanuele Borgonovo & Marzio Galeotti & Roberto Roson, 2014. "Uncertainty in Climate Change Modeling: Can Global Sensitivity Analysis Be of Help?," Risk Analysis, John Wiley & Sons, vol. 34(2), pages 271-293, February.
    17. Ozer, Muammer, 2011. "Understanding the impacts of product knowledge and product type on the accuracy of intentions-based new product predictions," European Journal of Operational Research, Elsevier, vol. 211(2), pages 359-369, June.
    18. David D. Yao & Shaohui Zheng, 1999. "Sequential Inspection Under Capacity Constraints," Operations Research, INFORMS, vol. 47(3), pages 410-421, June.
    19. Anthony Rossiter & Susan M Hester, 2017. "Designing Biosecurity Inspection Regimes to Account for Stakeholder Incentives: An Inspection Game Approach," The Economic Record, The Economic Society of Australia, vol. 93(301), pages 277-301, June.
    20. Sören Köcher & Hartmut H. Holzmüller, 2014. "Zu viel des Guten? Eine Analyse der Wirkung von Verbraucherschutzinformation," Schmalenbach Journal of Business Research, Springer, vol. 66(4), pages 306-343, June.

    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:ejores:v:253:y:2016:i:3:p:639-647. 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/eor .

    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.