Optimisation globale à complexité réduite: Application à divers problèmes industriels
In this paper we introduce two main ideas : We reformulate global optimization problems in term of boundary value problem (BVP). This allow us to introduce new optimization algorithms using what is known to solve BVPs. Indeed, current optimization methods, including non-deterministic ones, are based...
| Autores: | , , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/53431 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/53431 |
| Access Level: | acceso abierto |
| Palabra clave: | 519.863 Shape optimization Global optimization Microfluidic mixers Optimisation de forme Optimisation globale Mélangeur Microfluidique Investigación operativa (Matemáticas) 1207 Investigación Operativa |
| Sumario: | In this paper we introduce two main ideas : We reformulate global optimization problems in term of boundary value problem (BVP). This allow us to introduce new optimization algorithms using what is known to solve BVPs. Indeed, current optimization methods, including non-deterministic ones, are based on discretization of initial value problems for differential equations. On the other hand, we introduce low complexity sensitivity evaluation techniques using incomplete sensitivity concept, reduced complexity models and multi-level discretizations. Sensitivity knowledge permits to distinguish between points of a Pareto front in multi-criteria optimization problems characterizing these points from a robustness point of view. |
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