IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v16y1969i1p77-84.html
   My bibliography  Save this article

A Functional Equation and its Application to Resource Allocation and Sequencing Problems

Author

Listed:
  • E. L. Lawler

    (The University of Michigan, currently visiting the University of California at Berkeley)

  • J. M. Moore

    (Esso Mathematics and Systems, Incorporated)

Abstract

A functional equation, similar to that formulated for the knapsack problem, is applied to the solution of a problem of resource allocation in critical path scheduling, and to a variety of single-machine sequencing problems with deadlines and loss functions. Among these are: minimization of the weighted number of tardy jobs, maximization of weighted earliness, minimization of tardiness with respect to common relative and absolute deadlines, and minimization of weighted tardiness with respect to a common deadline. Extensions to multiple-machine sequencing problems are discussed, and the sequencing of two machines in series is treated in detail.

Suggested Citation

  • E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
  • Handle: RePEc:inm:ormnsc:v:16:y:1969:i:1:p:77-84
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.16.1.77
    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:16:y:1969:i:1:p:77-84. 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: (Mirko Janc). 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.