Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation
G. Rudolph, H. Trautmann, S. Sengupta, O. Schütze, in: R. Purshouse, P. Fleming, C. Fonseca, S. Greco, J. Shaw (Eds.), Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, Springer, 2013, pp. 443–458.
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Conference Paper
| English
Author
Rudolph, G;
Trautmann, HeikeLibreCat 
;
Sengupta, S;
Schütze, O
;
Sengupta, S;
Schütze, OEditor
Purshouse, RC;
Fleming, PJ;
Fonseca, CM;
Greco, S;
Shaw, J
Abstract
In some technical applications like multiobjective online control an evenly spaced approximation of the Pareto front is desired. Since standard evolutionary multiobjective optimization (EMO) algorithms have not been designed for that kind of approximation we propose an archive-based plug-in method that builds an evenly spaced approximation using averaged Hausdorff measure between archive and reference front. In case of three objectives this reference font is constructed from a triangulated approximation of the Pareto front from a previous experiment. The plug-in can be deployed in online or offline mode for any kind of EMO algorithm.
Publishing Year
Proceedings Title
Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings
forms.conference.field.series_title_volume.label
Lecture Notes in Computer Science
Volume
7811
Page
443–458
LibreCat-ID
Cite this
Rudolph G, Trautmann H, Sengupta S, Schütze O. Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation. In: Purshouse R, Fleming P, Fonseca C, Greco S, Shaw J, eds. Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings. Vol 7811. Lecture Notes in Computer Science. Springer; 2013:443–458. doi:https://doi.org/10.1007/978-3-642-37140-0_34
Rudolph, G., Trautmann, H., Sengupta, S., & Schütze, O. (2013). Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation. In R. Purshouse, P. Fleming, C. Fonseca, S. Greco, & J. Shaw (Eds.), Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings (Vol. 7811, pp. 443–458). Springer. https://doi.org/10.1007/978-3-642-37140-0_34
@inproceedings{Rudolph_Trautmann_Sengupta_Schütze_2013, series={Lecture Notes in Computer Science}, title={Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation}, volume={7811}, DOI={https://doi.org/10.1007/978-3-642-37140-0_34}, booktitle={Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings}, publisher={Springer}, author={Rudolph, G and Trautmann, Heike and Sengupta, S and Schütze, O}, editor={Purshouse, RC and Fleming, PJ and Fonseca, CM and Greco, S and Shaw, J}, year={2013}, pages={443–458}, collection={Lecture Notes in Computer Science} }
Rudolph, G, Heike Trautmann, S Sengupta, and O Schütze. “Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation.” In Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, edited by RC Purshouse, PJ Fleming, CM Fonseca, S Greco, and J Shaw, 7811:443–458. Lecture Notes in Computer Science. Springer, 2013. https://doi.org/10.1007/978-3-642-37140-0_34.
G. Rudolph, H. Trautmann, S. Sengupta, and O. Schütze, “Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation,” in Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, 2013, vol. 7811, pp. 443–458, doi: https://doi.org/10.1007/978-3-642-37140-0_34.
Rudolph, G., et al. “Evenly Spaced Pareto Front Approximations for Tricriteria Problems Based on Triangulation.” Evolutionary Multi-Criterion Optimization — 7$^th$ International Conference, EMO 2013, Sheffield, UK, Proceedings, edited by RC Purshouse et al., vol. 7811, Springer, 2013, pp. 443–458, doi:https://doi.org/10.1007/978-3-642-37140-0_34.
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