2009
DOI: 10.1007/s00158-009-0371-7
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Multi-modality in augmented Lagrangian coordination for distributed optimal design

Abstract: This paper presents an empirical study of the convergence characteristics of augmented Lagrangian coordination (ALC) for solving multi-modal optimization problems in a distributed fashion. A number of test problems that do not satisfy all assumptions of the convergence proof for ALC are selected to demonstrate the convergence characteristics of ALC algorithms. When only a local search is employed at the subproblems, local solutions to the original problem are often attained. When a global search is performed a… Show more

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Cited by 17 publications
(16 citation statements)
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“…Another benchmarking problem that possesses some scalability is the microaccelerometer problem of Tosserams et al [207]. Test problems with lower dimensionality but with multiple local minima are presented by Tosserams et al [208]. We also feel that a test suite of MDO problems similar to the now-defunct NASA MDO suite [209] would be a great resource for researchers and practitioners.…”
Section: Architecture Benchmarking Issuesmentioning
confidence: 99%
“…Another benchmarking problem that possesses some scalability is the microaccelerometer problem of Tosserams et al [207]. Test problems with lower dimensionality but with multiple local minima are presented by Tosserams et al [208]. We also feel that a test suite of MDO problems similar to the now-defunct NASA MDO suite [209] would be a great resource for researchers and practitioners.…”
Section: Architecture Benchmarking Issuesmentioning
confidence: 99%
“…MLHO and MSLO are demonstrated on multi-modal test problems which are taken from [132]. Computational efficiency of the schemes and their progress in finding the global optimum are evaluated based on the obtained results.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…This is demonstrated in the following examples. 3 and x * 4 as 0.5 and 2, respectively, by setting x 2 as either 0 or 2 and leaving x 1 free to take any value as long as the inequality constraint is satisfied [132].…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
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“…Among these we can find [201], where ATC and Augmented Lagrangian Coordination (ALC) are compared; the study of ALC in [202]; the same way that MDF, CO, and Individual Discipline Feasible (IDF) methods are compared in [203];…”
Section: Multidisciplinary Design Optimizationmentioning
confidence: 99%