Aspects of approximate optimisation: overcoming the curse of dimensionality and design of experiments

Sophie Trichon; M.H.A. Bonte; Jean-Philippe Ponthot; Antonius H. van den Boogaard

Aspects of approximate optimisation: overcoming the curse of dimensionality and design of experiments

Sophie Trichon, M.H.A. Bonte, Jean-Philippe Ponthot, Antonius H. van den Boogaard

Faculty of Engineering Technology

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Abstract

Coupling optimisation algorithms to Finite Element Methods (FEM) is a very promising way to achieve optimal metal forming processes. However, many optimisation algorithms exist and it is not clear which of these algorithms to use. This paper investigates the sensitivity of a Sequential Approximate Optimisation algorithm (SAO) proposed in [1-4] to an increasing number of design variables and compares it with two other algorithms: an Evolutionary Strategy (ES) and an Evolutionary version of the SAO (ESAO). In addition, it observes the influence of different Designs Of Experiments used with the SAO. It is concluded that the SAO is very capable and efficient and its combination with an ES is not beneficial. Moreover, the use of SAO with Fractional Factorial Design is the most efficient method, rather than Full Factorial Design as proposed in [1-4].

Original language	Undefined
Number of pages	8
Publication status	Published - 2007

Keywords

IR-59672

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Cite this

Trichon, S., Bonte, M. H. A., Ponthot, J-P., & van den Boogaard, A. H. (2007). Aspects of approximate optimisation: overcoming the curse of dimensionality and design of experiments.

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AU - Trichon, Sophie

AU - Bonte, M.H.A.

AU - Ponthot, Jean-Philippe

AU - van den Boogaard, Antonius H.

PY - 2007

Y1 - 2007

N2 - Coupling optimisation algorithms to Finite Element Methods (FEM) is a very promising way to achieve optimal metal forming processes. However, many optimisation algorithms exist and it is not clear which of these algorithms to use. This paper investigates the sensitivity of a Sequential Approximate Optimisation algorithm (SAO) proposed in [1-4] to an increasing number of design variables and compares it with two other algorithms: an Evolutionary Strategy (ES) and an Evolutionary version of the SAO (ESAO). In addition, it observes the influence of different Designs Of Experiments used with the SAO. It is concluded that the SAO is very capable and efficient and its combination with an ES is not beneficial. Moreover, the use of SAO with Fractional Factorial Design is the most efficient method, rather than Full Factorial Design as proposed in [1-4].

AB - Coupling optimisation algorithms to Finite Element Methods (FEM) is a very promising way to achieve optimal metal forming processes. However, many optimisation algorithms exist and it is not clear which of these algorithms to use. This paper investigates the sensitivity of a Sequential Approximate Optimisation algorithm (SAO) proposed in [1-4] to an increasing number of design variables and compares it with two other algorithms: an Evolutionary Strategy (ES) and an Evolutionary version of the SAO (ESAO). In addition, it observes the influence of different Designs Of Experiments used with the SAO. It is concluded that the SAO is very capable and efficient and its combination with an ES is not beneficial. Moreover, the use of SAO with Fractional Factorial Design is the most efficient method, rather than Full Factorial Design as proposed in [1-4].

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