We address the practical optimization problem of sizing an aircraft fuselage. The problem consists in computing the dimensions of the different elements constituting a fuselage minimizing the total mass subject to some mechanical constraints. Mathematically, the problem may be formulated as a very large nonlinear optimization problem subjected to several nonlinear inequality constraints. We show that this problem possesses a natural hierarchical structure that can be exploited by a multilevel approach that is alternative to decomposition strategies classically employed in this context. Hence, we propose to embed the Recursive Multilevel Trust Region method designed for solving bound-constrained nonlinear optimization problems into an Augmented Lagrangian framework. Preliminary results on small test cases are presented.
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