IDEAS home Printed from https://ideas.repec.org/a/onl/scmare/v2y2017i1p1-8id449.html
   My bibliography  Save this article

Nonlinear and Dynamic Programming Methods for Solving the Variational Problems of a Special Type

Author

Listed:
  • Valery I. Struchenkov

Abstract

In linear structures routing we have the following problem : find the extremal of given functional, i.e 2D or 3D curve , which must consist of a special type elements. The parameters of elements are limited and their number is unknown. At first we must determine number of elements and after this we can find their optimal parameters. In the case of 2D extremal we shall consider a broken line and parabolic spline. The broken line is used as a longitudinal profile of railways and the parabolic spline is used as a longitudinal profile of roads. Initial problem was solved as multi-stage process using the methods of dynamic and nonlinear programming. On each stage we consider the different mathematical models of unknown extremal line: 1. A broken line with short elements similar to longitudinal profile of ground. This model allow us to find the initial approximation of unknown line using nonlinear programming. 2. The result of first stage give us opportunity to find number of elements using dynamic programming. 3. We use a special algorithm of nonlinear programming for solving initial problem with fixed number of elements and the result of second stage as initial approximation.

Suggested Citation

  • Valery I. Struchenkov, 2017. "Nonlinear and Dynamic Programming Methods for Solving the Variational Problems of a Special Type," Scientific Modelling and Research, Online Science Publishing, vol. 2(1), pages 1-8.
    • Handle: RePEc:onl:scmare:v:2:y:2017:i:1:p:1-8:id:449
    as

    Download full text from publisher

    File URL: https://www.onlinesciencepublishing.com/index.php/smr/article/view/449/705
    Download Restriction: no
    File URL: https://www.onlinesciencepublishing.com/index.php/smr/article/view/449/1318
    Download Restriction: no
    ---><---

    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:onl:scmare:v:2:y:2017:i:1:p:1-8:id:449. 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: Pacharapa Naka (email available below). General contact details of provider: https://www.onlinesciencepublishing.com/index.php/smr/ .

    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.