## Dimension reduction and decomposition using causal graph and qualitative analysis for aircraft concept design optimization

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**Dimension reduction and decomposition using causal graph and qualitative analysis for aircraft concept design optimization.** / Wu, Di; Coatanea, Eric; Wang, G. Gary.

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*43rd Design Automation Conference.*The American Society of Mechanical Engineers ASME, 1/01/00. https://doi.org/10.1115/DETC201767601

### APA

*43rd Design Automation Conference*The American Society of Mechanical Engineers ASME. https://doi.org/10.1115/DETC201767601

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### Bibtex - Lataa

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### RIS (suitable for import to EndNote) - Lataa

TY - GEN

T1 - Dimension reduction and decomposition using causal graph and qualitative analysis for aircraft concept design optimization

AU - Wu, Di

AU - Coatanea, Eric

AU - Wang, G. Gary

PY - 2017

Y1 - 2017

N2 - With the increasing design dimensionality, it is more difficult to solve Multidisciplinary design optimization (MDO) problems. To reduce the dimensionality of MDO problems, many MDO decomposition strategies have been developed. However, those strategies consider the design problem as a black-box function. In practice, the designers usually have certain knowledge of their problem. In this paper, a method leveraging causal graph and qualitative analysis is developed to reduce the dimensionality of the MDO problem by systematically modeling and incorporating knowledge of the design problem. Causal graph is employed to show the input-output relationships between variables. Qualitative analysis using design structure matrix (DSM) is carried out to automatically find the variables that can be determined without optimization. According to the weight of variables, the MDO problem is divided into two sub-problems, the optimization problem with respect to important variables, and the one with less important variables. The novel method is performed to solve an aircraft concept design problem and the results show that the new dimension reduction and decomposition method can significantly improve optimization efficiency.

AB - With the increasing design dimensionality, it is more difficult to solve Multidisciplinary design optimization (MDO) problems. To reduce the dimensionality of MDO problems, many MDO decomposition strategies have been developed. However, those strategies consider the design problem as a black-box function. In practice, the designers usually have certain knowledge of their problem. In this paper, a method leveraging causal graph and qualitative analysis is developed to reduce the dimensionality of the MDO problem by systematically modeling and incorporating knowledge of the design problem. Causal graph is employed to show the input-output relationships between variables. Qualitative analysis using design structure matrix (DSM) is carried out to automatically find the variables that can be determined without optimization. According to the weight of variables, the MDO problem is divided into two sub-problems, the optimization problem with respect to important variables, and the one with less important variables. The novel method is performed to solve an aircraft concept design problem and the results show that the new dimension reduction and decomposition method can significantly improve optimization efficiency.

KW - Aircraft concept design

KW - Causal graph

KW - Dimension reduction

KW - Dimensional analysis

KW - Multidisciplinary design optimization

U2 - 10.1115/DETC201767601

DO - 10.1115/DETC201767601

M3 - Conference contribution

BT - 43rd Design Automation Conference

PB - The American Society of Mechanical Engineers ASME

ER -