IDEAS home Printed from https://ideas.repec.org/p/han/dpaper/dp-388.html
   My bibliography  Save this paper

Linearisierungsverfahren für Standortplanungsprobleme mit nichtlinearen Transportkosten

Author

Listed:
  • Stolletz, Raik
  • Stolletz, Lars

Abstract

This paper analyzes the Steiner-Weber-Problem with piecewise linear or piecewise constant transportation costs. These non-differentiable cost functions are analyzed using different one-step and dynamic linearization methods, which are based on approximations via average and marginal costs. An extensive numerical study compares these approaches with solutions based on linear and geometric regressions of the cost functions. In the numerical examples the dynamic linearization approaches give results near the optimal solutions. The relative deviations of the transportation costs of the approximated solutions to the minimal costs depend on the initialization of the dynamic approaches and improve as the number of demand points increases.

Suggested Citation

  • Stolletz, Raik & Stolletz, Lars, 2008. "Linearisierungsverfahren für Standortplanungsprobleme mit nichtlinearen Transportkosten," Hannover Economic Papers (HEP) dp-388, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  • Handle: RePEc:han:dpaper:dp-388
    as

    Download full text from publisher

    File URL: http://diskussionspapiere.wiwi.uni-hannover.de/pdf_bib/dp-388.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Holmberg, Kaj & Ling, Jonas, 1997. "A Lagrangean heuristic for the facility location problem with staircase costs," European Journal of Operational Research, Elsevier, vol. 97(1), pages 63-74, February.
    2. repec:cor:louvrp:-683 is not listed on IDEAS
    3. Domschke, Wolfgang, 1997. "Logistik: Rundreisen und Touren. 4. Aufl," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 8162, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Fleischmann, Bernhard, 1993. "Designing distribution systems with transport economies of scale," European Journal of Operational Research, Elsevier, vol. 70(1), pages 31-42, October.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Steiner-Weber-Problem; Standortplanung in der Ebene; stückweise lineare Transportkosten; Linearisierung; Dynamic Slope Scaling.;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:han:dpaper:dp-388. 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: (Heidrich, Christian). General contact details of provider: http://edirc.repec.org/data/fwhande.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 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.