Hamel, Andreas, Löhne, Andreas, Rudloff, Birgit. 2014. Benson type algorithms for linear vector optimization and applications. Journal of Global Optimization 59 (4): S. 811-836.
BibTeX
Abstract
New versions and extensions of Benson’s outer approximation algorithm for solving linear vector optimization problems are presented. Primal and dual variants are provided in which only one scalar linear program has to be solved in each iteration rather than two or three as in previous versions. Extensions are given to problems with arbitrary pointed solid polyhedral ordering cones. Numerical examples are provided, one of them involving a new set-valued risk measure for multivariate positions.
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Status of publication | Published |
---|---|
Affiliation | WU |
Type of publication | Journal article |
Journal | Journal of Global Optimization |
Citation Index | SCI |
WU-Journal-Rating new | FIN-A |
Language | English |
Title | Benson type algorithms for linear vector optimization and applications |
Volume | 59 |
Number | 4 |
Year | 2014 |
Page from | 811 |
Page to | 836 |
Reviewed? | Y |
URL | http://arxiv.org/pdf/1302.2415.pdf |
DOI | http://dx.doi.org/10.1007/s10898-013-0098-2 |
Associations
- People
- Rudloff, Birgit (Details)
- External
- Hamel, Andreas (Free University of Bolzano, Italy)
- Löhne, Andreas (Friedrich-Schiller-Universität Jena, Germany)