Optimum design of real-size reinforced concrete bridge via charged system search algorithm trained by Nelder-Mead simplex
In this paper, an optimization method based on the combination of Nelder-Mead (NM) simplex concepts and charged system search algorithm (CSS) is proposed and called NM-CSS. NM, as a search technique, involves the iterative formation and transformation of a geometrically arranged set of points known...
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| Veröffentlicht in: | Expert systems with applications Jg. 238; S. 121815 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier Ltd
15.03.2024
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| ISSN: | 0957-4174, 1873-6793 |
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| Abstract | In this paper, an optimization method based on the combination of Nelder-Mead (NM) simplex concepts and charged system search algorithm (CSS) is proposed and called NM-CSS. NM, as a search technique, involves the iterative formation and transformation of a geometrically arranged set of points known as a simplex to uncover the optimal solution. By incorporating NM into metaheuristic algorithms, the convergence speed and solution quality can be notably boosted. Throughout each iteration, the solutions undergo various operations, including reflection, contraction, and expansion, to enhance the effectiveness of the algorithm. In this algorithm, produced solutions by the CSS are sorted and divided into two groups of good and bad solutions, and then the NM operators are applied to bad solutions to generate the possible best ones. The proposed algorithm is verified through some mathematical benchmark functions. Then, it is implemented on a real-size reinforced concrete bridge to reach an optimum design. To recognize the effective parameters in the design of structural components of reinforced concrete bridges, a sensitivity analysis is carried out. The total cost of materials in piers and the deck is defined as an objective function, and the cross-section area of structural elements and longitudinal reinforcements are chosen as design variables. The results of simulations represent the stability and robustness of the proposed NM-CSS method compared to standard CSS. In other words, utilizing the proposed NM-CSS algorithm in an optimum design of the piers and deck results in saving %3.685 and %2.084 of costs, respectively, in comparison with the results of the standard CSS. |
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| AbstractList | In this paper, an optimization method based on the combination of Nelder-Mead (NM) simplex concepts and charged system search algorithm (CSS) is proposed and called NM-CSS. NM, as a search technique, involves the iterative formation and transformation of a geometrically arranged set of points known as a simplex to uncover the optimal solution. By incorporating NM into metaheuristic algorithms, the convergence speed and solution quality can be notably boosted. Throughout each iteration, the solutions undergo various operations, including reflection, contraction, and expansion, to enhance the effectiveness of the algorithm. In this algorithm, produced solutions by the CSS are sorted and divided into two groups of good and bad solutions, and then the NM operators are applied to bad solutions to generate the possible best ones. The proposed algorithm is verified through some mathematical benchmark functions. Then, it is implemented on a real-size reinforced concrete bridge to reach an optimum design. To recognize the effective parameters in the design of structural components of reinforced concrete bridges, a sensitivity analysis is carried out. The total cost of materials in piers and the deck is defined as an objective function, and the cross-section area of structural elements and longitudinal reinforcements are chosen as design variables. The results of simulations represent the stability and robustness of the proposed NM-CSS method compared to standard CSS. In other words, utilizing the proposed NM-CSS algorithm in an optimum design of the piers and deck results in saving %3.685 and %2.084 of costs, respectively, in comparison with the results of the standard CSS. |
| ArticleNumber | 121815 |
| Author | Aghabeigi, Pouya Shirgir, Sina Farahmand-Tabar, Salar |
| Author_xml | – sequence: 1 givenname: Sina surname: Shirgir fullname: Shirgir, Sina email: s.shirgir@tabrizu.ac.ir organization: Department of Structural Engineering, Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran – sequence: 2 givenname: Salar orcidid: 0000-0002-7520-5452 surname: Farahmand-Tabar fullname: Farahmand-Tabar, Salar email: farahmandsalar@znu.ac.ir, farahmandsalar@gmail.com organization: Department of Civil Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran – sequence: 3 givenname: Pouya surname: Aghabeigi fullname: Aghabeigi, Pouya email: pouya.agabeygi@gmail.com organization: Department of Civil Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran |
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| Keywords | Enhanced algorithm Charged system search algorithm Reinforced concrete bridge Nelder-Mead simplex |
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| Snippet | In this paper, an optimization method based on the combination of Nelder-Mead (NM) simplex concepts and charged system search algorithm (CSS) is proposed and... |
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| StartPage | 121815 |
| SubjectTerms | Charged system search algorithm Enhanced algorithm Nelder-Mead simplex Reinforced concrete bridge |
| Title | Optimum design of real-size reinforced concrete bridge via charged system search algorithm trained by Nelder-Mead simplex |
| URI | https://dx.doi.org/10.1016/j.eswa.2023.121815 |
| Volume | 238 |
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