IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v3y1957i3p270-278.html
   My bibliography  Save this article

On a Dynamic Programming Approach to the Caterer Problem--I

Author

Listed:
  • Richard Bellman

    (The RAND Corporation)

Abstract

In this paper, it is shown that the "caterer" problem, a problem in mathematical economics and logistics which has been discussed by Jacobs, Gaddum, Hoffman and Sokolowsky, and Prager, can be reduced to the problem of determining the maximum of the linear form, subject to a series of "triangular" constraints in the form of inequalities, under an assumption concerning the non-accumulation of dirty laundry. This maximization problem is solved explicitly, using the functional equation technique of dynamic programming.

Suggested Citation

  • Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
  • Handle: RePEc:inm:ormnsc:v:3:y:1957:i:3:p:270-278
    DOI: 10.1287/mnsc.3.3.270
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.3.3.270
    Download Restriction: no

    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:3:y:1957:i:3:p:270-278. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matthew Walls). General contact details of provider: http://edirc.repec.org/data/inforea.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.