IDEAS home Printed from https://ideas.repec.org/h/spr/lnechp/978-3-642-10354-4_6.html
   My bibliography  Save this book chapter

Automated Aggregation and Omission of Objectives for Tackling Many-Objective Problems

In: New Developments in Multiple Objective and Goal Programming

Author

Listed:
  • Dimo Brockhoff

    (Computer Engineering and Networks Laboratory, ETH Zurich)

  • Eckart Zitzler

Abstract

Many-objective problems pose various challenges in terms of decision making and search. One approach to tackle the resulting problems is the automatic reduction of the number of objectives such that the information loss is minimized. While in a previous work we have investigated the issue of omitting objectives, we here address the generalized problem of aggregating objectives using weighted sums. To this end, heuristics are presented that iteratively remove two objectives and replace them by a new objective representing an optimally weighted combination of them. As shown in the paper, the new reduction method can substantially reduce the information loss and thereby can be highly useful when analyzing trade-off sets after optimization as well as during search to reduce the computation overhead related to hypervolume-based fitness assignment.

Suggested Citation

  • Dimo Brockhoff & Eckart Zitzler, 2010. "Automated Aggregation and Omission of Objectives for Tackling Many-Objective Problems," Lecture Notes in Economics and Mathematical Systems, in: Dylan Jones & Mehrdad Tamiz & Jana Ries (ed.), New Developments in Multiple Objective and Goal Programming, pages 81-102, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-10354-4_6
    DOI: 10.1007/978-3-642-10354-4_6
    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. Kostin, Andrei & Guillén-Gosálbez, Gonzalo & Jiménez, Laureano, 2015. "Dimensionality reduction applied to the simultaneous optimization of the economic and life cycle environmental performance of supply chains," International Journal of Production Economics, Elsevier, vol. 159(C), pages 223-232.

    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:lnechp:978-3-642-10354-4_6. 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.