IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v41y1993i5p947-958.html
   My bibliography  Save this article

Stochastic Analysis of Cyclic Schedules

Author

Listed:
  • R. A. Bowman

    (Union College, Schenectady, New York)

  • J. A. Muckstadt

    (Cornell University, Ithaca, New York)

Abstract

A cyclic schedule is a sequence of tasks on a set of machines that is repeated indefinitely. We model cyclic schedules as Markov chains and use ergodic theory to analyze and improve the performance of cyclic schedules in environments with machine breakdowns, yield losses, and other sources of variability. The concept of cyclic task criticality is developed as a natural extension of task criticalities in PERT networks. We show that cyclic task criticalities can and should be used to guide the management of cyclic schedules.

Suggested Citation

  • R. A. Bowman & J. A. Muckstadt, 1993. "Stochastic Analysis of Cyclic Schedules," Operations Research, INFORMS, vol. 41(5), pages 947-958, October.
    • Handle: RePEc:inm:oropre:v:41:y:1993:i:5:p:947-958
    DOI: 10.1287/opre.41.5.947
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.41.5.947
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.41.5.947?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. Selcuk Karabati & Panagiotis Kouvelis, 1996. "Cyclic scheduling in flow lines: Modeling observations, effective heuristics and a cycle time minimization procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 211-231, March.
    2. Fernando Acebes & Javier Pajares & José M. González-Varona & Adolfo López-Paredes, 2021. "Project risk management from the bottom-up: Activity Risk Index," 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. 29(4), pages 1375-1396, December.
    3. Sox, Charles R. & Jackson, Peter L. & Bowman, Alan & Muckstadt, John A., 1999. "A review of the stochastic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 62(3), pages 181-200, September.
    4. Elmaghraby, Salah E., 2000. "On criticality and sensitivity in activity networks," European Journal of Operational Research, Elsevier, vol. 127(2), pages 220-238, December.
    5. R. Alan Bowman, 2003. "Sensitivity curves for effective project management," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 481-497, August.
    6. Siqian Shen & J. Cole Smith & Shabbir Ahmed, 2010. "Expectation and Chance-Constrained Models and Algorithms for Insuring Critical Paths," Management Science, INFORMS, vol. 56(10), pages 1794-1814, October.
    7. Madadi, M. & Iranmanesh, H., 2012. "A management oriented approach to reduce a project duration and its risk (variability)," European Journal of Operational Research, Elsevier, vol. 219(3), pages 751-761.
    8. Sridhar Tayur, 2000. "Improving Operations and Quoting Accurate Lead Times in a Laminate Plant," Interfaces, INFORMS, vol. 30(5), pages 1-15, October.
    9. Scott Webster & Z. Kevin Weng, 2001. "Improving Repetitive Manufacturing Systems: Model and Insights," Operations Research, INFORMS, vol. 49(1), pages 99-106, February.

    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:oropre:v:41:y:1993:i:5:p:947-958. 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.