IDEAS home Printed from
   My bibliography  Save this article

Turnpike Results for Single Location Capacity Expansion


  • Robert L. Smith

    (University of Pittsburgh)


We consider the problem of selecting capacity additions from a finite set of possible facility sizes to meet demand at a single location over an infinite horizon. The problem is motivated and illustrated by an application to the planning for the deployment of long haul transmission facilities in the nationwide intercity telephone network. Under the assumption that demand grows at an increasing rate, taken to be exponential for purposes of exposition, we prove a "turnpike theorem" which characterizes the optimal policy as one in which the least average cost facility is eventually the only optimal facility type installed over the infinite horizon. This structural result, together with an efficient algorithm for solving the finite horizon problem, which has been implemented in a facilities network planning tool known as OFNPS, leads to a constructive algorithm for finding the optimal first facility for the infinite horizon problem. The approach avoids the end of study effects inherent in a finite horizon approach to the problem.

Suggested Citation

  • Robert L. Smith, 1979. "Turnpike Results for Single Location Capacity Expansion," Management Science, INFORMS, vol. 25(5), pages 474-484, May.
  • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:5:p:474-484

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Ian I. Mitroff, 1972. "The Myth of Objectivity OR Why Science Needs a New Psychology of Science," Management Science, INFORMS, vol. 18(10), pages 613-618, June.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Ryan, Sarah M., 1998. "Forecast frequency in rolling horizon hedging heuristics for capacity expansion," European Journal of Operational Research, Elsevier, vol. 109(3), pages 550-558, September.
    2. Sarah M. Ryan, 2004. "Capacity Expansion for Random Exponential Demand Growth with Lead Times," Management Science, INFORMS, vol. 50(6), pages 740-748, June.


    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:25:y:1979:i:5:p:474-484. 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: .

    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.