IDEAS home Printed from https://ideas.repec.org/p/huj/dispap/dp530.html
   My bibliography  Save this paper

On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity

Author

Listed:
  • Jay Bartroff
  • Larry Goldstein
  • Yosef Rinott
  • Ester Samuel-Cahn

Abstract

We study a class of optimal allocation problems, including the well-known Bomber Problem, with the following common probabilistic structure. An aircraft equipped with an amount x of ammunition is intercepted by enemy airplanes arriving according to a homogenous Poisson process over a fixed time duration t. Upon encountering an enemy, the aircraft has the choice of spending any amount 0

Suggested Citation

  • Jay Bartroff & Larry Goldstein & Yosef Rinott & Ester Samuel-Cahn, 2010. "On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity," Discussion Paper Series dp530, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp530
    as

    Download full text from publisher

    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp530.pdf
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Woonghee Tim Huh & Chandra Kiran Krishnamurthy & Richard Weber, 2011. "Concavity and monotonicity properties in a groundwater management model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(7), pages 670-675, October.
    2. Abba M. Krieger & Ester Samuel-Cahn, 2012. "Generalized Bomber and Fighter Problems: Offline optimal allocation of a discrete asset," Discussion Paper Series dp625, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. Takashi Kamihigashi, 2017. "41 Counterexamples to property (B) of the discrete time bomber problem," Annals of Operations Research, Springer, vol. 248(1), pages 579-588, January.
    4. Kiran Krishnamurthy, Chandra, 2012. "Optimal Management of Groundwater under Uncertainty: A Unified Approach," CERE Working Papers 2012:19, CERE - the Center for Environmental and Resource Economics, revised 30 Jun 2014.

    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:huj:dispap:dp530. 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: Michael Simkin (email available below). General contact details of provider: https://edirc.repec.org/data/crihuil.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.