IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-319-58356-3_4.html
   My bibliography  Save this book chapter

Applications of Continuous Nonlinear Optimization

In: Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology

Author

Listed:
  • Neculai Andrei

    (Center for Advanced Modeling & Optimization
    Academy of Romanian Scientists)

Abstract

A number of 18 real continuous nonlinear optimization applications are presented in this chapter. These are used for numerical experiments and comparisons among the algorithms described in this book. For each application, the mathematical model, its GAMS representation, and the solution are given. GAMS is a standard technology for modeling and solving large-scale linear and nonlinear optimization applications. It is characterized by a very powerful language and a large number of different advanced optimization algorithms which are imbedded in this technology. The syntax of the GAMS language is not too complicated and practically all types of difficult nonlinear optimization applications can be represented and solved. Additionally, the nonlinear optimal control application, by discretization, can also be represented and solved by GAMS. Therefore, in this chapter, we include both continuous nonlinear optimization applications and some optimal control problems from different areas of activity. Some applications are from mechanical, electrical, and chemical engineering, heat transfer and fluid dynamics, and economic development. Others are from optimal control. The purpose is to present these applications in algebraic form and to see how all these can be represented and solved in GAMS. The solutions of these applications are determined by the optimization algorithms imbedded in the GAMS technology (MINOS, CONOPT, KNITRO, SNOPT, IPOPT) as well as some other packages described in this book (SPENBAR, DONLP, NLPQLP, filterSD) not imbedded in GAMS.

Suggested Citation

  • Neculai Andrei, 2017. "Applications of Continuous Nonlinear Optimization," Springer Optimization and Its Applications, in: Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology, chapter 0, pages 47-117, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-58356-3_4
    DOI: 10.1007/978-3-319-58356-3_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Neculai Andrei, 2018. "A Double-Parameter Scaling Broyden–Fletcher–Goldfarb–Shanno Method Based on Minimizing the Measure Function of Byrd and Nocedal for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 178(1), pages 191-218, July.
    2. Martin Ćalasan & Tatjana Konjić & Katarina Kecojević & Lazar Nikitović, 2020. "Optimal Allocation of Static Var Compensators in Electric Power Systems," Energies, MDPI, vol. 13(12), pages 1-24, June.
    3. Qiwei Yang & Yantai Huang & Qiangqiang Zhang & Jinjiang Zhang, 2023. "A Bi-Level Optimization and Scheduling Strategy for Charging Stations Considering Battery Degradation," Energies, MDPI, vol. 16(13), pages 1-15, June.
    4. Neculai Andrei, 2020. "Diagonal Approximation of the Hessian by Finite Differences for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 185(3), pages 859-879, June.

    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:spr:spochp:978-3-319-58356-3_4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.