IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v5y1957i6p794-814.html
   My bibliography  Save this article

Operational Requirements for a Collision Warning System

Author

Listed:
  • Eduardo I. Pina

    (Transport Division, Boeing Airplane Company, Renton, Washington)

  • Henry J. Landau

    (Transport Division, Boeing Airplane Company, Renton, Washington)

Abstract

In this paper operational requirements are developed for a collision warning system under the assumption of airplanes moving in straight line paths at constant velocities. This assumption is believed to be reasonable during the on-route portion of an airplane's flight, but need not hold when airplanes are in a holding pattern around some airport. The problem is first reduced from a three dimensional problem to one of relative motion in a plane. Then, equations are derived which permit equipment resolution requirements to be established as a function of the radius of a safety sphere around an airplane, relative velocity, required warning range, and range at which first measurement is taken. Finally, with an eye toward minimizing computer storage and data handling, a statistic based on the difference between the first and last ordered statistics is considered, and the probability theory is derived to enable the computation of alarm and false alarm probabilities to be made.

Suggested Citation

  • Eduardo I. Pina & Henry J. Landau, 1957. "Operational Requirements for a Collision Warning System," Operations Research, INFORMS, vol. 5(6), pages 794-814, December.
    • Handle: RePEc:inm:oropre:v:5:y:1957:i:6:p:794-814
    DOI: 10.1287/opre.5.6.794
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.5.6.794
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.5.6.794?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:oropre:v:5:y:1957:i:6:p:794-814. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.