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http://hdl.handle.net/10397/93828
Title: | Optimal control of fish-feeding in a three-dimensional calm freshwater pond considering environmental concern | Authors: | Lee, HWJ Wong, KH Lee, YCE |
Issue Date: | Feb-2023 | Source: | Journal of industrial and management optimization, Feb. 2023, v.19, no. 2, p. 932-960 | Abstract: | This paper describes the optimal fish-feeding in a three-dimensional calm freshwater pond based on the concentrations of seven water quality variables. A certain number of baby fishes are inserted into the pond simultaneously. They are then taken out of the pond simultaneously for harvest after having gone through a feeding program. This feeding program creates additional loads of water quality variables in the pond, which becomes pollutants. Thus, an optimal fish-feeding problem is formulated to maximize the final weight of the fishes, subject to the restrictions that the fishes are not under-fed and over-fed and the concentrations of the pollutants created by the fish-feeding program are not too large. A computational scheme using the finite element Galerkin scheme for the three-dimensional cubic domain and the control parameterization method is developed for solving the problem. Finally, a numerical example is solved. | Keywords: | Optimal control of fish feeding Three-dimensional calm water pond Fishes' health Environmental protection Water quality variables Source input pollution load Chemical process Galerkin scheme Control parametrization |
Publisher: | American Institute of Mathematical Sciences | Journal: | Journal of industrial and management optimization | ISSN: | 1553-166X | EISSN: | 1547-5816 | DOI: | 10.3934/jimo.2021213 | Rights: | © 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). The following publication H. W. J. Lee, Kar Hung Wong, Y. C. E. Lee. Optimal control of fish-feeding in a three-dimensional calm freshwater pond considering environmental concern. Journal of Industrial and Management Optimization, 2023, 19(2): 932-960 is available at https://doi.org/10.3934/jimo.2021213. |
Appears in Collections: | Journal/Magazine Article |
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