Various decomposition and coordination methodologies for solving large-scale system design problems have been developed and studied during the past few decades. However, there is generally no guarantee that they will converge to the expected optimum design under general assumptions. Those with proven convergence often have restricted hypotheses or a prohibitive cost related to the required computational effort. Therefore there is still a need for improved, mathematically grounded, decomposition and coordination techniques that will achieve convergence while remaining robust, flexible and easy to implement. In recent years, classical Lagrangian and augmented Lagrangian methods have received renewed interest when applied to decomposed design problems. Some methods are implemented using a subgradient optimization algorithm whose performance is highly dependent on the type of dual update of the iterative process. This paper reports on the implementation of a cutting plane approach in conjunction with Lagrangian coordination and the comparison of its performance with other subgradient update methods. The method is demonstrated on design problems that are decomposable according to the analytic target cascading (ATC) scheme.
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ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 15–18, 2010
Montreal, Quebec, Canada
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4409-0
PROCEEDINGS PAPER
A Cutting Plane Method for Analytical Target Cascading With Augmented Lagrangian Coordination
Wenshan Wang,
Wenshan Wang
Clemson University, Clemson, SC
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Vincent Y. Blouin,
Vincent Y. Blouin
Clemson University, Clemson, SC
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Melissa Gardenghi,
Melissa Gardenghi
Clemson University, Clemson, SC
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Margaret M. Wiecek,
Margaret M. Wiecek
Clemson University, Clemson, SC
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Georges M. Fadel,
Georges M. Fadel
Clemson University, Clemson, SC
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Benjamin Sloop
Benjamin Sloop
Clemson University, Clemson, SC
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Wenshan Wang
Clemson University, Clemson, SC
Vincent Y. Blouin
Clemson University, Clemson, SC
Melissa Gardenghi
Clemson University, Clemson, SC
Margaret M. Wiecek
Clemson University, Clemson, SC
Georges M. Fadel
Clemson University, Clemson, SC
Benjamin Sloop
Clemson University, Clemson, SC
Paper No:
DETC2010-29207, pp. 791-800; 10 pages
Published Online:
March 8, 2011
Citation
Wang, W, Blouin, VY, Gardenghi, M, Wiecek, MM, Fadel, GM, & Sloop, B. "A Cutting Plane Method for Analytical Target Cascading With Augmented Lagrangian Coordination." Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 36th Design Automation Conference, Parts A and B. Montreal, Quebec, Canada. August 15–18, 2010. pp. 791-800. ASME. https://doi.org/10.1115/DETC2010-29207
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