Advanced Search
MyIDEAS: Login to save this article or follow this journal

The Stochastic Cash Balance Problem with Fixed Costs for Increases and Decreases

Contents:

Author Info

  • Edwin H. Neave

    (Northwestern University)

Registered author(s):

    Abstract

    The stochastic cash balance problem is an inventory problem in which the stochastic cash (or inventory) change can either be positive or nonpositive, and in which decisions to increase or decrease the inventory are permitted at the beginning of each time period. The paper studies problems in which both fixed and proportional costs can be incurred whenever the inventory is changed in either direction. An example is used to demonstrate that when these costs are positive and the loss function is convex, a simple policy (analogous to a two-sided (s, S) policy) is not generally optimal. The example is also used to display the relations between the cash balance problem and inventory problems previously studied by Scarf and Veinott. When proportional costs of changing the inventory are zero, the two fixed costs are equal, the loss function is symmetric quasi-convex, and the problem's probability densities are quasi-concave a simple policy is shown to be optimal. For the cases in which simple policies are not optimal, the paper develops a technique which employs convex upper and lower bounds on the (nonconvex) cost functions partially to describe the optimal policy. It is suggested that this convex bounding technique may provide an approach to studying the cost implications of following simple, nonoptimal policies in inventory problems for which the optimal policy is complex.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://dx.doi.org/10.1287/mnsc.16.7.472
    Download Restriction: no

    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 16 (1970)
    Issue (Month): 7 (March)
    Pages: 472-490

    as in new window
    Handle: RePEc:inm:ormnsc:v:16:y:1970:i:7:p:472-490

    Contact details of provider:
    Postal: 7240 Parkway Drive, Suite 300, Hanover, MD 21076 USA
    Phone: +1-443-757-3500
    Fax: 443-757-3515
    Email:
    Web page: http://www.informs.org/
    More information through EDIRC

    Related research

    Keywords:

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

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

    Cited by:
    1. Frank Milne, 2008. "Credit Crises, Risk Management Systems and Liquidity Modelling," Working Papers 1, John Deutsch Institute for the Study of Economic Policy.
    2. Fernando Alvarez & Francesco Lippi, 2013. "The demand of liquid assets with uncertain lumpy expenditures," EIEF Working Papers Series 1307, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2013.
    3. Premachandra, I. M., 2004. "A diffusion approximation model for managing cash in firms: An alternative approach to the Miller-Orr model," European Journal of Operational Research, Elsevier, vol. 157(1), pages 218-226, August.
    4. Hinderer, K. & Waldmann, K. -H., 2001. "Cash management in a randomly varying environment," European Journal of Operational Research, Elsevier, vol. 130(3), pages 468-485, May.
    5. Frank Milne & Edwin Neave, 2003. "A General Equilibrium Financial Asset Economy with Transaction Costs and Trading Constraints," Working Papers 1082, Queen's University, Department of Economics.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:16:y:1970:i:7:p:472-490. 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).

    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.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 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.