IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v18y1972i9p550-559.html
   My bibliography  Save this article

Optimal Screening Plans for Nonserial Production Systems

Author

Listed:
  • Robert R. Britney

    (The University of Western Ontario)

Abstract

Quality control screening programs are defined and evaluated for the general n-stage nonserial production process. A total expected cost criterion, developed as a function of the screening applied at each inspection station, embraces the various costs of inspection, defect repair and defects passing through the process undetected. Absorbing Markov chains aid in the identification of probabilistic flows of defective materials through the production network. Minimum cost screening programs are developed, giving the optimal level of screening at every potential inspection station. For a quasi-concave cost structure, it is shown that the optimal screening program will employ either zero or 100 percent effective screening throughout. A standard branch and bound "backtrack" strategy readily identifies optimal screening programs for the unconstrained (0, 1) nonlinear integer programming problem. An illustrative problem is presented.

Suggested Citation

  • Robert R. Britney, 1972. "Optimal Screening Plans for Nonserial Production Systems," Management Science, INFORMS, vol. 18(9), pages 550-559, May.
  • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:9:p:550-559
    DOI: 10.1287/mnsc.18.9.550
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.18.9.550
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.18.9.550?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
    ---><---

    Citations

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


    Cited by:

    1. Van Volsem, Sofie & Dullaert, Wout & Van Landeghem, Hendrik, 2007. "An Evolutionary Algorithm and discrete event simulation for optimizing inspection strategies for multi-stage processes," European Journal of Operational Research, Elsevier, vol. 179(3), pages 621-633, June.
    2. Salih Tekin & Sigrún Andradóttir, 2020. "Inspection location in capacity-constrained lines," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(3), pages 905-937, September.
    3. Yu, Hong-Fwu & Yu, Wen-Ching, 2007. "An optimal mixed policy of inspection and burn-in and the optimal production quantity," International Journal of Production Economics, Elsevier, vol. 105(2), pages 483-491, February.
    4. Yimin Wang, 2013. "Specification vagueness and supply quality risk," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(3), pages 222-236, April.
    5. Gurnani, Haresh & Drezner, Zvi & Akella, Ram, 1996. "Capacity planning under different inspection strategies," European Journal of Operational Research, Elsevier, vol. 89(2), pages 302-312, 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:inm:ormnsc:v:18:y:1972:i:9:p:550-559. 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.

    We have no bibliographic references for this item. You can help adding them by using 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 Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.