IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v43y1995i2p208-218.html
   My bibliography  Save this article

Aluminum Production Modeling—A Nonlinear Bilevel Programming Approach

Author

Listed:
  • Miles G. Nicholls

    (Swinburne University of Technology, Hawthorn, Victoria, Australia)

Abstract

This paper develops a nonlinear bilevel programming model of an aluminium smelter that is capable of representing all the major production processes. The model encompasses all the areas of the smelter which operates in a multilevel way. However, as shown, it can be reduced quite simply to a bilevel programming problem. The problem specification involves nonlinearities with respect to the variables and the presence of ratios among the constraints. The problem is also characterized by a two-way material flow in the production process. A relatively simple solution algorithm that facilitates the attainment of the global optimum is developed. While the problem specification appears daunting, a number of simplifications can be made, due to nature of the problem, allowing its quick solution. While the model developed in this paper together with the solution algorithm appear simple, considerable effort was required to identify the fundamental relationships in the aluminium smelting process, quantify them, and then develop appropriate expressions to represent them. It is believed that the solution of this class of nonlinear bilevel programming problems will have implications for other applications.

Suggested Citation

  • Miles G. Nicholls, 1995. "Aluminum Production Modeling—A Nonlinear Bilevel Programming Approach," Operations Research, INFORMS, vol. 43(2), pages 208-218, April.
    • Handle: RePEc:inm:oropre:v:43:y:1995:i:2:p:208-218
    DOI: 10.1287/opre.43.2.208
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.43.2.208
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.43.2.208?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
    ---><---

    Citations

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


    Cited by:

    1. Ankur Sinha & Zhichao Lu & Kalyanmoy Deb & Pekka Malo, 2020. "Bilevel optimization based on iterative approximation of multiple mappings," Journal of Heuristics, Springer, vol. 26(2), pages 151-185, April.
    2. M G Nicholls & B J Cargill, 2008. "Determining best practice production in an aluminium smelter involving sub-processes based substantially on tacit knowledge: an application of Communities of Practice," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 13-24, January.
    3. G Dutta & N Gupta & R Fourer, 2011. "An optimization-based decision support system for strategic planning in a process industry: the case of aluminium company in India," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 616-626, April.

    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:43:y:1995:i:2:p:208-218. 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.