An Accelerated Fixed-Point Algorithm Applied to Quadratic Convex Separable Knapsack Problems
In this article, we propose a root-finding algorithm for solving a quadratic convex separable knapsack problem, which is more straightforward than existing methods and competitive in practice. Besides, we also present an extension of the proposal, which improves its computational time, and then we i...
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| Veröffentlicht in: | Journal of control science and engineering Jg. 2024; S. 1 - 17 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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New York
Hindawi
08.02.2024
John Wiley & Sons, Inc Wiley |
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| ISSN: | 1687-5249, 1687-5257 |
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| Abstract | In this article, we propose a root-finding algorithm for solving a quadratic convex separable knapsack problem, which is more straightforward than existing methods and competitive in practice. Besides, we also present an extension of the proposal, which improves its computational time, and then we incorporate the accelerated Anderson’s and Aitken’s fixed-point algorithms to obtain better results. The algorithm only performs function evaluations. We present partial convergence results of the algorithm. Moreover, we illustrate superior computational results in medium and large problems as well as the applicability of the algorithm with real-life applications to show their efficiency. |
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| AbstractList | In this article, we propose a root-finding algorithm for solving a quadratic convex separable knapsack problem, which is more straightforward than existing methods and competitive in practice. Besides, we also present an extension of the proposal, which improves its computational time, and then we incorporate the accelerated Anderson’s and Aitken’s fixed-point algorithms to obtain better results. The algorithm only performs function evaluations. We present partial convergence results of the algorithm. Moreover, we illustrate superior computational results in medium and large problems as well as the applicability of the algorithm with real-life applications to show their efficiency. |
| Author | Matioli, Luiz C. Souza, Sissy S. Alves, Atécio Silva, Jônatas O. L. Santos, Paulo S. M. |
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| Copyright | Copyright © 2024 Atécio Alves et al. Copyright © 2024 Atécio Alves et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| Title | An Accelerated Fixed-Point Algorithm Applied to Quadratic Convex Separable Knapsack Problems |
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