IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v23y1975i2p366-371.html
   My bibliography  Save this article

Technical Note—Comments on the Distribution of Inventory Position in a Continuous-Review ( s , S ) Inventory System

Author

Listed:
  • F. R. Richards

    (Naval Postgraduate School, Monterey, California)

Abstract

This paper comments on the limiting distribution of the inventory position in a continuous-review ( s , S ) inventory system with arbitrary customer interarrival-time distribution. The limiting distribution is derived for the general case in which the demand quantity is random. We show that the limiting distribution is uniform on ( s + 1, …, S ) if and only if units are demanded one at a time. However, with a slight modification of the procurement policy, the uniform distribution is recaptured even with random demand quantities.

Suggested Citation

  • F. R. Richards, 1975. "Technical Note—Comments on the Distribution of Inventory Position in a Continuous-Review ( s , S ) Inventory System," Operations Research, INFORMS, vol. 23(2), pages 366-371, April.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:2:p:366-371
    DOI: 10.1287/opre.23.2.366
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.23.2.366
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.23.2.366?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. Kochel, P., 2007. "Order optimisation in multi-location models with hub-and-spoke structure," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 368-387, July.
    2. Li Chen & Hau L. Lee, 2012. "Bullwhip Effect Measurement and Its Implications," Operations Research, INFORMS, vol. 60(4), pages 771-784, August.
    3. Frenk, J.B.G. & Kleijn, M.J., 1997. "On regenerative processes and inventory control," Econometric Institute Research Papers EI 9741/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Y. Barron, 2019. "A state-dependent perishability (s, S) inventory model with random batch demands," Annals of Operations Research, Springer, vol. 280(1), pages 65-98, September.
    5. Jing-Sheng Song, 2000. "A Note on Assemble-to-Order Systems with Batch Ordering," Management Science, INFORMS, vol. 46(5), pages 739-743, May.
    6. Noblesse, Ann M. & Boute, Robert N. & Lambrecht, Marc R. & Van Houdt, Benny, 2014. "Characterizing order processes of continuous review (s,S) and (r,nQ) policies," European Journal of Operational Research, Elsevier, vol. 236(2), pages 534-547.

    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:oropre:v:23:y:1975:i:2:p:366-371. 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.