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Volume 8, Issue 1
An Alternative Approach for PDE-Constrained Optimization via Genetic Algorithm

Laxminarayan Sahoo, A. K. Bhunia, D.Pal and B. N. Mandal

J. Info. Comput. Sci. , 8 (2013), pp. 041-054.

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  • Abstract
This paper deals with an alternative approach for solving the PDE-constrained optimization problems. For this purpose, the problem has been discretized with the help of finite difference method. Then the reduced problem has been solved by advanced real coded genetic algorithm with ranking selection, whole-arithmetic crossover and non uniform mutation. The proposed approach has been illustrated with a numerical example. Finally, to test the performance of the algorithm, sensitivity analyses have been performed on objective function values with respect to different parameters of genetic algorithm.
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@Article{JICS-8-041, author = {Laxminarayan Sahoo, A. K. Bhunia, D.Pal and B. N. Mandal}, title = {An Alternative Approach for PDE-Constrained Optimization via Genetic Algorithm}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {8}, number = {1}, pages = {041--054}, abstract = { This paper deals with an alternative approach for solving the PDE-constrained optimization problems. For this purpose, the problem has been discretized with the help of finite difference method. Then the reduced problem has been solved by advanced real coded genetic algorithm with ranking selection, whole-arithmetic crossover and non uniform mutation. The proposed approach has been illustrated with a numerical example. Finally, to test the performance of the algorithm, sensitivity analyses have been performed on objective function values with respect to different parameters of genetic algorithm. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22627.html} }
TY - JOUR T1 - An Alternative Approach for PDE-Constrained Optimization via Genetic Algorithm AU - Laxminarayan Sahoo, A. K. Bhunia, D.Pal and B. N. Mandal JO - Journal of Information and Computing Science VL - 1 SP - 041 EP - 054 PY - 2024 DA - 2024/01 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22627.html KW - PDE-Constrained optimization, optimal control, genetic algorithm. AB - This paper deals with an alternative approach for solving the PDE-constrained optimization problems. For this purpose, the problem has been discretized with the help of finite difference method. Then the reduced problem has been solved by advanced real coded genetic algorithm with ranking selection, whole-arithmetic crossover and non uniform mutation. The proposed approach has been illustrated with a numerical example. Finally, to test the performance of the algorithm, sensitivity analyses have been performed on objective function values with respect to different parameters of genetic algorithm.
Laxminarayan Sahoo, A. K. Bhunia, D.Pal and B. N. Mandal. (2024). An Alternative Approach for PDE-Constrained Optimization via Genetic Algorithm. Journal of Information and Computing Science. 8 (1). 041-054. doi:
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