# Self-organizing map of Pareto solutions obtained from multiobjective supersonic wing design

@inproceedings{Obayashi2002SelforganizingMO, title={Self-organizing map of Pareto solutions obtained from multiobjective supersonic wing design}, author={Shigeru Obayashi and Daisuke Sasaki}, year={2002} }

Self-Organizing Map (SOM) has been applied to analyze 766 Pareto solutions obtained from the four-objective aerodynamic optimization of supersonic wings using Evolutionary Algorithms. Threedimensional Pareto front (tradeoff surface) is mapped onto the two-dimensional SOM where global tradeoffs are successfully visualized. Furthermore, from the clusters obtained in the SOM, the design variables are mapped onto another SOM. This leads to clusters of design variables which indicate the relative… Expand

#### 21 Citations

An Implementation of Self-Organizing Maps for Airfoil Design Exploration via Multi-Objective Optimization Technique

- Computer Science
- 2016

The real-coded Adaptive Range Multi-Objective Genetic Algorithm code, which represents the global and stochastic multi-objective evolutionary algorithm, was developed for an airfoil shape design and the Self-Organizing Maps, based on the neural network, are used to visualize trade-offs of a relationship between the objective function space and the design variable space obtained by evolutionary computation. Expand

Pareto frontier exploration in multiobjective topology optimization using adaptive weighting and point selection schemes

- Mathematics
- 2017

Topology optimization has been used in many industries and applied to a variety of design problems. In real-world engineering design problems, topology optimization problems often include a number of… Expand

Multi-Objective Design Problem of Tire Wear and Visualization of Its Pareto Solutions2

- Engineering
- 2006

Abstract Since tires carry out many functions and many of them have tradeoffs, it is important to find the combination of design variables that satisfy well-balanced performance in conceptual design… Expand

STRUCTURAL ANALYSES OF PARETO OPTIMAL SETS IN MULTI-OBJECTIVE OPTIMIZATION

- Mathematics
- 2008

In single-objective optimization problems, which have only one optimal design objective, the absolute optimal solution to maximize/minimize the objective function could be determined. However, in the… Expand

Structural analysis of Pareto-optimal solution sets for multi-objective optimization: An application to outer window design problems using Multiple Objective Genetic Algorithms

- Mathematics
- 2010

Abstract In single-objective optimization problems, with only one optimal design objective, the absolute optimal solution to maximize/minimize the objective function can be determined. However, in… Expand

Design Knowledge Exploration for the Conceptual Design of Tire Contours

- Engineering
- 2014

The importance of the rule of simulation at a conceptual design stage is pointed out recently. The methodology using multi-objective design optimization and data mining, which is called MODE… Expand

Multi-Objective Design Problem of Tire Wear and Visualization of Its

- Engineering
- 2006

Since tires carry out many functions and many of them have tradeoffs, it is important to find the combination of design variables that satisfy well-balanced performance in conceptual design stage. To… Expand

ulti-Objective Design Problem of Tire ear and Visualization of Its areto Solutions 2

- 2006

Since tires carry out many functions and many of them have tradeoffs, it is important to find the combination of design variables that satisfy well-balanced performance in conceptual design stage. To… Expand

Multipoint Aerodynamic Shape Optimization for Subsonic and Supersonic Regimes

- Computer Science
- AIAA Scitech 2019 Forum
- 2019

The proposed CFD-based design optimization approach enables the fast and effective design of highly-efficient wings, capturing non-intuitive tradeoffs, and offering more in-depth physical insight into the optimal layouts. Expand

Data mining based on clustering and association rule analysis for knowledge discovery in multiobjective topology optimization

- Computer Science
- Expert Syst. Appl.
- 2019

A data mining technique for knowledge discovery in multiobjective topology optimization that sequentially applies clustering and association rule analysis to a Pareto-optimal solution set, thereby giving decision makers a useful tool for discovery of particularly effective design solutions. Expand

#### References

SHOWING 1-4 OF 4 REFERENCES

Multiobjective evolutionary computation for supersonic wing-shape optimization

- Computer Science
- IEEE Trans. Evol. Comput.
- 2000

The detailed analysis of the resulting Pareto front suggests a renewed interest in the arrow wing planform for the supersonic wing. Expand

Multiobjective Aerodynamic Optimization of Supersonic Wings Using Navier-Stokes Equations

- Mathematics
- 2000

The design optimization of a wing for supersonic transport by means of Multiobjective Genetic Algorithm (MOGA) is presented. The objective function is to minimize the drag for transonic cruise, the… Expand

Self-Organizing Maps

- Computer Science
- Springer Series in Information Sciences
- 1995

The mathematical preliminaries, background, basic ideas, and implications of the Self-Organising Map algorithm are expounded in a manner which is accessible without prior expert knowledge. Expand