6th Symposium on Multidisciplinary Analysis and Optimization 1996
DOI: 10.2514/6.1996-4017
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Implementation and performance issues in collaborative optimization

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Cited by 132 publications
(71 citation statements)
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“…Therefore, it is possible to address the FD&C integration/interaction challenge, and take advantage of the concurrent structure to increase freedom in the design space. Among many different MDO strategies, Collaborative Optimization (CO) 13 shown in Figure 2 has been found to be one suitable alternative to include flight dynamics and control in the design process. CO is a bi-level optimization scheme that decouples the design process by providing the common design variables and disciplinary coupling interactions all at once in an upper level, eliminating the need for an a priori process that accumulates all the disciplinary data required to perform FD&C analyses.…”
Section: A Multidisciplinary Design Integrationmentioning
confidence: 99%
“…Therefore, it is possible to address the FD&C integration/interaction challenge, and take advantage of the concurrent structure to increase freedom in the design space. Among many different MDO strategies, Collaborative Optimization (CO) 13 shown in Figure 2 has been found to be one suitable alternative to include flight dynamics and control in the design process. CO is a bi-level optimization scheme that decouples the design process by providing the common design variables and disciplinary coupling interactions all at once in an upper level, eliminating the need for an a priori process that accumulates all the disciplinary data required to perform FD&C analyses.…”
Section: A Multidisciplinary Design Integrationmentioning
confidence: 99%
“…In CO, the discipline optimization subproblems are made independent of each other by using copies of the coupling and shared design variables [138,139]. These copies are then shared with all the disciplines during every iteration of the solution procedure.…”
Section: Collaborative Optimization (Co)mentioning
confidence: 99%
“…The simplest and most effective CO adjustment involves relaxing the system subproblem equality constraints to inequalities with a relaxation tolerance; this was originally proposed by Braun et al [139]. This approach was also successful in other test problems [144,145], where the tolerance is a small fixed number, usually 10 −6 .…”
Section: Collaborative Optimization (Co)mentioning
confidence: 99%
“…This causes the Lagrange multipliers associated with the compatibility constraints to tend to zero, resulting in numerical problems that adversely affect convergence when using gradient-based optimizers. The existence of multiple subspace solution regions can also produce inaccuracies in the system-level Jacobian (Braun et al 1996) and further hinder convergence. Sobieski and Kroo (2000) suggested using response surfaces to model the discipline optimizations as a solution to some of the system-level convergence difficulties.…”
Section: Collaborative Optimizationmentioning
confidence: 99%
“…In the case of collaborative optimization, there are at least four major variants (Alexandrov and Lewis 2002;Sobieski and Kroo 2000;Braun et al 1996;Braun and Kroo 1997). Though many of the implementations have been used to solve specific problems, there has been no study that thoroughly tested each implementation in a statistically significant manner.…”
Section: Introductionmentioning
confidence: 99%