IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v220y2012i1p115-124.html
   My bibliography  Save this article

The effect of testing errors on a repetitive testing process

Author

Listed:
  • Gong, Linguo

Abstract

Repetitive testing is a fairly common practice in the final testing stage of a chip manufacturing. Decisions on setting initial lot size and the number of testing repetitions are crucial to the effectiveness of the testing process. The task of setting optimal parameters for a testing process is often difficult in practical situations due to uncertainties in both incoming product yield and testing equipment condition during the testing process. In this paper, we investigate a repetitive testing process where the testing equipment may shift randomly from an in-control state to an inferior state during the testing process which, correspondingly, results in different testing errors. We develop a quantitative model that helps us to find optimal test parameters that maximizes system performance. Based on the model, we performed extensive numerical experiments to test the effects of incoming product defective rate, testing equipment shift rate, especially, type II testing errors on decision and system performance. We find that test equipment condition may significantly affect the optimal decisions on the number of test repetitive and initial testing batch size. Further, we find that, while a small type II testing error may have negligible negative effect of system performance, the effect increases as the error or the incoming product yield increases. The results of this research may potentially provide practitioners with insights and a quantitative tool for designing an efficient repetitive testing process.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:220:y:2012:i:1:p:115-124
    DOI: 10.1016/j.ejor.2012.01.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712000045
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2012.01.003?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. Hau L. Lee, 1992. "Lot Sizing to Reduce Capacity Utilization in a Production Process with Defective Items, Process Corrections, and Rework," Management Science, INFORMS, vol. 38(9), pages 1314-1328, September.
    2. Douglas G. Bonett & J. Arthur Woodward, 1994. "Sequential Defect Removal Sampling," Management Science, INFORMS, vol. 40(7), pages 898-902, July.
    3. 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.
    4. Evan L. Porteus, 1986. "Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction," Operations Research, INFORMS, vol. 34(1), pages 137-144, 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.
    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. 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.

    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. 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.
    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. K-L Hou, 2005. "Optimal production run length for deteriorating production system with a two-state continuous-time Markovian processes under allowable shortages," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 346-350, March.
    4. Oner, Selma & Bilgic, Taner, 2008. "Economic lot scheduling with uncontrolled co-production," European Journal of Operational Research, Elsevier, vol. 188(3), pages 793-810, August.
    5. Yeh, Ruey Huei & Ho, Wen-Tsung & Tseng, Sheng-Tsaing, 2000. "Optimal production run length for products sold with warranty," European Journal of Operational Research, Elsevier, vol. 120(3), pages 575-582, February.
    6. Sarker, Bhaba R. & Jamal, A.M.M. & Mondal, Sanjay, 2008. "Optimal batch sizing in a multi-stage production system with rework consideration," European Journal of Operational Research, Elsevier, vol. 184(3), pages 915-929, February.
    7. Stephen M. Gilbert & Hena M Bar, 1999. "The value of observing the condition of a deteriorating machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 790-808, October.
    8. Wang, Chih-Hsiung, 2009. "Determining the optimal probing lot size for the wafer probe operation in semiconductor manufacturing," European Journal of Operational Research, Elsevier, vol. 197(1), pages 126-133, August.
    9. Kim, Chang Hyun & Hong, Yushin, 1997. "An extended EMQ model for a failure prone machine with general lifetime distribution," International Journal of Production Economics, Elsevier, vol. 49(3), pages 215-223, May.
    10. Cordon, Carlos, 1995. "Quality defaults and work-in-process inventory," European Journal of Operational Research, Elsevier, vol. 80(2), pages 240-251, January.
    11. Wright, CM & Mehrez, A, 1998. "An Overview of Representative Research of the Relationships Between Quality and Inventory," Omega, Elsevier, vol. 26(1), pages 29-47, February.
    12. 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.
    13. Kaijie Zhu & Rachel Q. Zhang & Fugee Tsung, 2007. "Pushing Quality Improvement Along Supply Chains," Management Science, INFORMS, vol. 53(3), pages 421-436, March.
    14. 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.
    15. M. Jaber & Z. Givi, 2015. "Imperfect production process with learning and forgetting effects," Computational Management Science, Springer, vol. 12(1), pages 129-152, January.
    16. B. C. Giri & T Chakraborty, 2007. "Optimal production, maintenance, and warranty strategies for item sold with rebate combination warranty," Journal of Risk and Reliability, , vol. 221(4), pages 257-264, December.
    17. Monami Das Roy & Shib Sankar Sana, 2021. "Inter-dependent lead-time and ordering cost reduction strategy: a supply chain model with quality control, lead-time dependent backorder and price-sensitive stochastic demand," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 690-710, September.
    18. White, Richard E. & Prybutok, Victor, 2001. "The relationship between JIT practices and type of production system," Omega, Elsevier, vol. 29(2), pages 113-124, April.
    19. Wang, Chih-Hsiung, 2005. "Integrated production and product inspection policy for a deteriorating production system," International Journal of Production Economics, Elsevier, vol. 95(1), pages 123-134, January.
    20. Souheil Ayed & Zied Hajej & Sadok Turki & Nidhal Rezg, 2017. "FPA method for optimal production planning under availability/degradation machine and subcontracting constraint," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2135-2148, April.

    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:220:y:2012:i:1:p:115-124. 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.