Symmetric Duality for Homogeneous Multiple-Objective Problems

Phan Thien Thach ()
Additional contact information
Phan Thien Thach: Institute of Mathematics

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 2, No 1, 317-331

Abstract: Abstract In this article, we present a symmetric duality for a multiple-objective problem, which appears in the application of minimizing cost under a given demand constraint. The duality is constructed according to the quasi-conjugacy approach (Thach in SIAM J. Optim. 4:44–64, 1994) applied to nondecreasing homogeneous cost functions. By this duality approach, we obtain a duality equation that helps to characterize the (weakly) efficient solutions of the primal problem and the dual.

Keywords: Multiple objectives; Pareto efficiency; Symmetric duality (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-011-9822-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:joptap:v:188:y:2021:i:2:d:10.1007_s10957-011-9822-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-011-9822-6

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().