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Accelerating Global Optimization Methods: Exploring Local Convexity, Monotonicity and Uniqueness
Editore:
Fraunhofer Verlag Nov 2024, 2024
ISBN 10: 3839620155
ISBN 13: 9783839620151
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Taschenbuch
Da: Rheinberg-Buch Andreas Meier eK, Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Neuware -Global optimization plays a key role in many areas but can be challenging due to the complexity of the objective function, the potential for multiple best solutions, and problem constraints. The focus here will be on continuous problems and deterministic methods such as branch and bound. This method explores the solution space by dividing it into smaller subboxes. However, as the method converges to the optimal solution, it produces more subboxes, leading to the cluster problem which increases the running time.In this work, a new technique to avoid the cluster problem is introduced by combining a local iterative method with a global deterministic method. It is shown that this method can be used for nonlinear systems of equations and global optimization problems. Both theoretical analysis and numerical applications are provided, showing that the new combined method reduces the number of boxes to be examined and the computational time compared to the branch and bound method. 106 pp. Englisch. Codice articolo 9783839620151
Quantità: 1 disponibili
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Accelerating Global Optimization Methods: Exploring Local Convexity, Monotonicity and Uniqueness
Editore:
Fraunhofer Verlag Nov 2024, 2024
ISBN 10: 3839620155
ISBN 13: 9783839620151
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Neuware -Global optimization plays a key role in many areas but can be challenging due to the complexity of the objective function, the potential for multiple best solutions, and problem constraints. The focus here will be on continuous problems and deterministic methods such as branch and bound. This method explores the solution space by dividing it into smaller subboxes. However, as the method converges to the optimal solution, it produces more subboxes, leading to the cluster problem which increases the running time.In this work, a new technique to avoid the cluster problem is introduced by combining a local iterative method with a global deterministic method. It is shown that this method can be used for nonlinear systems of equations and global optimization problems. Both theoretical analysis and numerical applications are provided, showing that the new combined method reduces the number of boxes to be examined and the computational time compared to the branch and bound method. 106 pp. Englisch. Codice articolo 9783839620151
Quantità: 1 disponibili
Immagini fornite dal venditore
Accelerating Global Optimization Methods: Exploring Local Convexity, Monotonicity and Uniqueness
Editore:
Fraunhofer Verlag Nov 2024, 2024
ISBN 10: 3839620155
ISBN 13: 9783839620151
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Neuware - Global optimization plays a key role in many areas but can be challenging due to the complexity of the objective function, the potential for multiple best solutions, and problem constraints. The focus here will be on continuous problems and deterministic methods such as branch and bound. This method explores the solution space by dividing it into smaller subboxes. However, as the method converges to the optimal solution, it produces more subboxes, leading to the cluster problem which increases the running time.In this work, a new technique to avoid the cluster problem is introduced by combining a local iterative method with a global deterministic method. It is shown that this method can be used for nonlinear systems of equations and global optimization problems. Both theoretical analysis and numerical applications are provided, showing that the new combined method reduces the number of boxes to be examined and the computational time compared to the branch and bound method. Codice articolo 9783839620151
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Accelerating Global Optimization Methods: Exploring Local Convexity, Monotonicity and Uniqueness
Da: preigu, Osnabrück, Germania
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Taschenbuch. Condizione: Neu. Accelerating Global Optimization Methods: Exploring Local Convexity, Monotonicity and Uniqueness | Ramzi Jafar | Taschenbuch | 106 S. | Englisch | 2024 | Fraunhofer Verlag | EAN 9783839620151 | Verantwortliche Person für die EU: Fraunhofer Verlag, k.A., Nobelstr. 12, 70569 Stuttgart, verlag[at]fraunhofer[dot]de | Anbieter: preigu. Codice articolo 130496169
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