IDEAS home Printed from https://ideas.repec.org/a/bpj/ecqcon/v34y2019i2p59-66n6.html
   My bibliography  Save this article

Quality Analysis in Acyclic Production Networks

Author

Listed:
  • Gutierrez Abraham

    (Institute of Discrete Mathematics, Graz University of Technology, Steyrergasse 30, 8010Graz, Austria)

  • Müller Sebastian

    (Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, Marseille, France)

Abstract

The production network under examination consists of a number of workstations. Each workstation is a parallel configuration of machines performing the same kind of tasks on a given part. Parts move from one workstation to another and at each workstation a part is assigned randomly to a machine. We assume that the production network is acyclic, that is, a part does not return to a workstation where it previously received service. Furthermore, we assume that the quality of the end product is additive, that is, the sum of the quality contributions of the machines along the production path. The contribution of each machine is modeled by a separate random variable. Our main result is the construction of estimators that allow pairwise and multiple comparison of the means and variances of machines in the same workstation. These comparisons then may lead to the identification of unreliable machines. We also discuss the asymptotic distributions of the estimators that allow the use of standard statistical tests and decision making.

Suggested Citation

  • Gutierrez Abraham & Müller Sebastian, 2019. "Quality Analysis in Acyclic Production Networks," Stochastics and Quality Control, De Gruyter, vol. 34(2), pages 59-66, December.
    • Handle: RePEc:bpj:ecqcon:v:34:y:2019:i:2:p:59-66:n:6
    DOI: 10.1515/eqc-2019-0014
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/eqc-2019-0014
    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-2019-0014?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.

    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:34:y:2019:i:2:p:59-66:n:6. 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: 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.