IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v8y1962i4p458-469.html
   My bibliography  Save this article

A Family of Dynamic Inventory Models

Author

Listed:
  • G. Hadley

    (University of Chicago, Chicago, Illinois)

  • T. M. Whitin

    (University of California, Berkeley, California)

Abstract

A family of inventory models in which demand is allowed to change with time is studied. One general model is presented which includes every member of the "family" as a special case. The general model assumes that demand is a random variable. The mean rate of demand may vary over time but demands in different time periods are assumed independent. It is assumed that there is a date of obsolescence for the item with no demands occurring after this date. The time of obsolescence may be either known or alternatively a finite number of obsolescence dates and their probable occurrence may be specified. Procurement lead times are allowed to be random variables, subject to certain restrictions which are discussed. Procurements are allowed only at a finite number of predetermined times which may be specified in any way desired. Demands occurring when the system is out of stock are assumed to be backordered. The procurement quantities are determined by solving a dynamic programming problem which minimizes the sum of the expected costs of procurement, carrying inventory, stockouts, and losses from obsolescence. The dynamic programming problem is within the range of feasibility computationally, because only tables involving a single parameter are required. A number of special cases of the general model are studied and it is shown that most dynamic models which have appeared in the literature are special cases of the general model.

Suggested Citation

  • G. Hadley & T. M. Whitin, 1962. "A Family of Dynamic Inventory Models," Management Science, INFORMS, vol. 8(4), pages 458-469, July.
    • Handle: RePEc:inm:ormnsc:v:8:y:1962:i:4:p:458-469
    DOI: 10.1287/mnsc.8.4.458
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.8.4.458
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.8.4.458?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. Pinçe, Çerag & Dekker, Rommert, 2011. "An inventory model for slow moving items subject to obsolescence," European Journal of Operational Research, Elsevier, vol. 213(1), pages 83-95, August.
    2. Pinçe, C. & Dekker, R., 2010. "A Continuous Review Inventory Model with Advance Policy Change and Obsolescence," Econometric Institute Research Papers EI 2009-45, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Song, Yuyue & Lau, Hoong Chuin, 2004. "A periodic-review inventory model with application to the continuous-review obsolescence problem," European Journal of Operational Research, Elsevier, vol. 159(1), pages 110-120, November.
    4. Jochen Schlapp & Moritz Fleischmann & Danja Sonntag, 2022. "Inventory timing: How to serve a stochastic season," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 2891-2906, July.
    5. Kumar Muthuraman & Sridhar Seshadri & Qi Wu, 2015. "Inventory Management with Stochastic Lead Times," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 302-327, February.

    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:8:y:1962:i:4:p:458-469. 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.