caa a22 4500 463243692 CHVBK 20180405153319.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s00158-006-0077-z doi (NATIONALLICENCE)springer-10.1007/s00158-006-0077-z An augmented Lagrangian decomposition method for quasi-separable problems in MDO [Elektronische Daten] [S. Tosserams, L. Etman, J. Rooda] Several decomposition methods have been proposed for the distributed optimal design of quasi-separable problems encountered in Multidisciplinary Design Optimization (MDO). Some of these methods are known to have numerical convergence difficulties that can be explained theoretically. We propose a new decomposition algorithm for quasi-separable MDO problems. In particular, we propose a decomposed problem formulation based on the augmented Lagrangian penalty function and the block coordinate descent algorithm. The proposed solution algorithm consists of inner and outer loops. In the outer loop, the augmented Lagrangian penalty parameters are updated. In the inner loop, our method alternates between solving an optimization master problem and solving disciplinary optimization subproblems. The coordinating master problem can be solved analytically; the disciplinary subproblems can be solved using commonly available gradient-based optimization algorithms. The augmented Lagrangian decomposition method is derived such that existing proofs can be used to show convergence of the decomposition algorithm to Karush-Kuhn-Tucker points of the original problem under mild assumptions. We investigate the numerical performance of the proposed method on two example problems. Springer-Verlag Berlin Heidelberg, 2006 Multidisciplinary design optimization (MDO) nationallicence Decomposition nationallicence Quasi-separable problems nationallicence Augmented Lagrangian nationallicence Block coordinate descent nationallicence Tosserams S. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Etman L. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Rooda J. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Structural and Multidisciplinary Optimization Springer-Verlag 34/3(2007-09-01), 211-227 1615-147X 34:3<211 2007 34 158 https://doi.org/10.1007/s00158-006-0077-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0077-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tosserams S. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Etman L. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Rooda J. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 34/3(2007-09-01), 211-227 1615-147X 34:3<211 2007 34 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer