Ordinal Optimization Through Multi-objective Reformulation

doi:10.1016/j.ejor.2023.04.042

Open AccessJournal Article10.1016/j.ejor.2023.04.042

Ordinal Optimization Through Multi-objective Reformulation

Kathrin Klamroth, +2 more

- 05 Apr 2022

- European Journal of Operational Research

- Vol. 311, Iss: 2, pp 427-443

2

TL;DR: In this paper , a bijective linear transformation that transforms ordinal optimization problems to associated standard multi-objective optimization problems with binary cost coefficients is proposed. But the transformation does not consider the complexity of ordinal problems.

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References

•Journal Article•10.1109/TEVC.2003.810758

Performance assessment of multiobjective optimizers: an analysis and review

Eckart Zitzler, +4 more

- 01 Apr 2003

- IEEE Transactions on Evolutionary Comput...

TL;DR: This study provides a rigorous analysis of the limitations underlying this type of quality assessment in multiobjective evolutionary algorithms and develops a mathematical framework which allows one to classify and discuss existing techniques.

...read moreread less

4.3K

•Book

Lectures on Polytopes

Günter M. Ziegler

- 29 Nov 1994

TL;DR: In this article, the authors present a rich collection of material on the modern theory of convex polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids).

...read moreread less

3.8K

Book Chapter•10.1007/BFB0056872

Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study

Eckart Zitzler, +1 more

- 27 Sep 1998

TL;DR: In this paper an extensive, quantitative comparison is presented, applying four multiobjective evolutionary algorithms to an extended 0/1 knapsack problem.

...read moreread less

2.7K

•Book