TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS
In this work, an equation is proposed to solve the general nonlinear continuous optimization problems. This equation can be used directly for obtaining analytical and numerical solutions. Since it can be transformed to some algorithmic functions through both analytically and numerically, this equat...
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| Format: | Article |
| Language: | English |
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Turkish Air Force Academy
2011-01-01
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| Series: | Havacılık ve Uzay Teknolojileri Dergisi |
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| Online Access: | http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/264/242 |
| _version_ | 1797908011960762368 |
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| author | Abdurrahman Hacıoğlu |
| author_facet | Abdurrahman Hacıoğlu |
| author_sort | Abdurrahman Hacıoğlu |
| collection | DOAJ |
| description | In this work, an equation is proposed to solve the general nonlinear continuous optimization problems. This equation can be used directly for obtaining analytical and numerical solutions. Since it can be transformed to some algorithmic functions through both analytically and numerically, this equation is named as the Transitive Algorithmic Functions (TAF) equation. The TAF equation can be applied to the optimization of general nonlinear continuous engineering problems. This equation presents alternative deterministic techniques and can define simple TAF algorithms which do not require derivative information as stochastic methods. Effectiveness of the equation and the proposed algorithms are demonstrated by their implementations. |
| first_indexed | 2024-04-10T10:45:55Z |
| format | Article |
| id | doaj.art-d1299ed8dc3041deb4e5303acd71a129 |
| institution | Directory Open Access Journal |
| issn | 1304-0448 1304-0448 |
| language | English |
| last_indexed | 2024-04-10T10:45:55Z |
| publishDate | 2011-01-01 |
| publisher | Turkish Air Force Academy |
| record_format | Article |
| series | Havacılık ve Uzay Teknolojileri Dergisi |
| spelling | doaj.art-d1299ed8dc3041deb4e5303acd71a1292023-02-15T16:20:20ZengTurkish Air Force AcademyHavacılık ve Uzay Teknolojileri Dergisi1304-04481304-04482011-01-015119TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMSAbdurrahman Hacıoğlu0Turkish Air Force AcademyIn this work, an equation is proposed to solve the general nonlinear continuous optimization problems. This equation can be used directly for obtaining analytical and numerical solutions. Since it can be transformed to some algorithmic functions through both analytically and numerically, this equation is named as the Transitive Algorithmic Functions (TAF) equation. The TAF equation can be applied to the optimization of general nonlinear continuous engineering problems. This equation presents alternative deterministic techniques and can define simple TAF algorithms which do not require derivative information as stochastic methods. Effectiveness of the equation and the proposed algorithms are demonstrated by their implementations.http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/264/242Nonlinear OptimizationTAF EquationTAF Algorithms |
| spellingShingle | Abdurrahman Hacıoğlu TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS Havacılık ve Uzay Teknolojileri Dergisi Nonlinear Optimization TAF Equation TAF Algorithms |
| title | TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS |
| title_full | TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS |
| title_fullStr | TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS |
| title_full_unstemmed | TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS |
| title_short | TRANSITIVE ALGORITHMIC FUNCTIONS METHOD FOR NONLINEAR OPTIMIZATION PROBLEMS |
| title_sort | transitive algorithmic functions method for nonlinear optimization problems |
| topic | Nonlinear Optimization TAF Equation TAF Algorithms |
| url | http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/264/242 |
| work_keys_str_mv | AT abdurrahmanhacıoglu transitivealgorithmicfunctionsmethodfornonlinearoptimizationproblems |