A new approach to approximate the bounded Pareto front

Kazhal Khaledian and Majid Soleimani-damaneh ()

Mathematical Methods of Operations Research, 2015, vol. 82, issue 2, 228 pages

Abstract: In this paper, a sequential approach, recently addressed by Mueller-Gritschneder et al. [SIAM J Optim 20(2):915–934, 2009 ] is studied. After a brief review, some weaknesses of the mentioned approach are pointed out. These weaknesses are due to a redundant assumption and the inability to generate the entire Pareto front. We present two improvements for the mentioned approach, firstly by eliminating the assumption of equality between the Pareto front and the weak Pareto front and secondly by presenting a new definition of the boundary of the Pareto front and establishing some theoretical results about it. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Multiple-objective optimization; Pareto front; Boundary of the Pareto front; Indifferent regions; NBI method (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1007/s00186-015-0510-4 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:82:y:2015:i:2:p:211-228

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/00186

DOI: 10.1007/s00186-015-0510-4

Access Statistics for this article

Mathematical Methods of Operations Research is currently edited by Oliver Stein

More articles in Mathematical Methods of Operations Research from Springer, Gesellschaft für Operations Research (GOR), Nederlands Genootschap voor Besliskunde (NGB)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().