New fundamental theory in solving the royalty payment problem / Wan Noor Afifah Wan Ahmad and Suliadi Firdaus Sufahani
This study aim to maximize the functional performance index of the non-classical Optimal Control problem. However, solving the problem, this project has to clarify a few constraints. Firstly, the final state is unknown which is resulting in the nonzero value of terminal costate. Besides, the royalty...
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| Автори: | , |
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| Формат: | Книга |
| Опубліковано: |
2020.
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| Предмети: | |
| Онлайн доступ: | Link Metadata |
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| Резюме: | This study aim to maximize the functional performance index of the non-classical Optimal Control problem. However, solving the problem, this project has to clarify a few constraints. Firstly, the final state is unknown which is resulting in the nonzero value of terminal costate. Besides, the royalty function is non-differentiable at certain process. Therefore, the indirect method was applied by involving new modified shooting method (Sufahani-Ahmad-Newton-Golden-Royalty Algorithm and Sufahani-Ahmad-Powell-Golden-Royalty Algorithm). The results comparison done with direct method (Euler, Runge-Kutta, Trapezoidal, Hermite-Simpson) as a validation process. Finally, it is expected that new modified shooting method yield highly accurate optimal solution compared to the direct method. |
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| Опис примірника: | https://ir.uitm.edu.my/id/eprint/72980/1/72980.pdf |