Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

A Novel Approach to Optimization Problem without Objective Function

Authors
Yingying Su1, Wenjin Hu, Ling Nie, Wen Ye, Taifu Li
1Dept. of Electronic Information and Automation, Chongqing Institute of Technolog
Corresponding Author
Yingying Su
Available Online October 2007.
DOI
https://doi.org/10.2991/iske.2007.272How to use a DOI?
Keywords
optimization; modeling; neural network; genetic algorithm
Abstract

For optimization problem in complex systems, normally, the objective funtion with respect to decision-making variables is hardly obtained or quantified. In this paper, a novel approach is presented. Its first procedure is to model the objective function by fitting experimental data with NN. Secondly, global optimization solution would be acquired for the fitted objective function with genetic algorithm (GA). In order to verify the idea, Peaks function inside MATLAB was selected to demostrate the approach. The fitted Peaks function was gained through training a proper NN with complete input and output data pairs, and then global optimal solution of Peaks function and the fitted Peaks function were searched with genetic algorithm (GA), respectively. Results show that their optimal values and the correspnding solutions were both very close. Furthermore, the modeling and optimization method in the paper was also effectively applied in optimizing the comprehensive performance in analog PID control system. Therefore, the methodology, which combines modeling approach of NN with global optimization of GA, could effectively solve many optimizing puzzles in complex systems without objective function.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/iske.2007.272How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yingying Su
AU  - Wenjin Hu
AU  - Ling Nie
AU  - Wen Ye
AU  - Taifu Li
PY  - 2007/10
DA  - 2007/10
TI  - A Novel Approach to Optimization Problem without Objective Function
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1589
EP  - 1593
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.272
DO  - https://doi.org/10.2991/iske.2007.272
ID  - Su2007/10
ER  -