IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v9y1962i1p123-125.html
   My bibliography  Save this article

A Note on the Optimality of (S, s) Policies in Inventory Theory

Author

Listed:
  • Edward Zabel

    (The University of Rochester)

Abstract

In this paper a proof of Herbert Scarf's on the optimality of (S, s) policies in inventory theory is extended to cases where differentiability of cost functions may not be available. In addition to an ordering cost composed of a unit cost plus a reorder cost all that is needed in the proof is that the expected holding and shortage cost function be convex.

Suggested Citation

  • Edward Zabel, 1962. "A Note on the Optimality of (S, s) Policies in Inventory Theory," Management Science, INFORMS, vol. 9(1), pages 123-125, October.
    • Handle: RePEc:inm:ormnsc:v:9:y:1962:i:1:p:123-125
    DOI: 10.1287/mnsc.9.1.123
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.9.1.123
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.9.1.123?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. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    2. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    3. Jian Yang & Jim (Junmin) Shi, 2023. "Discrete‐item inventory control involving unknown censored demand and convex inventory costs," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 45-64, January.
    4. Eugene A. Feinberg & Yan Liang, 2022. "Structure of optimal policies to periodic-review inventory models with convex costs and backorders for all values of discount factors," Annals of Operations Research, Springer, vol. 317(1), pages 29-45, October.
    5. Eugene A. Feinberg & Mark E. Lewis, 2018. "On the convergence of optimal actions for Markov decision processes and the optimality of (s, S) inventory policies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 619-637, December.

    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:9:y:1962:i:1:p:123-125. 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.