Improving the Performance of the Augmented Lagrangian Coordination: Decomposition Variants and Dual Residuals-Reference-Cited by-同舟云学术

Improving the Performance of the Augmented Lagrangian Coordination: Decomposition Variants and Dual Residuals

Published:2017-01-06 Issue:3 Volume:139 Page:
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Xu Meng¹,Fadel Georges¹,Wiecek Margaret M.²

Affiliation:

1. Mem. ASME Department of Mechanical Engineering, Clemson University, Clemson, SC 29631 e-mail:

2. Department of Mathematical Sciences, Clemson University, Clemson, SC 29631 e-mail:

Abstract

The augmented Lagrangian coordination (ALC), as an effective coordination method for decomposition-based optimization, offers significant flexibility by providing different variants when solving nonhierarchically decomposed problems. In this paper, these ALC variants are analyzed with respect to the number of levels and multipliers, and the resulting advantages and disadvantages are explored through numerical tests. The efficiency, accuracy, and parallelism of three ALC variants (distributed ALC, centralized ALC, and analytical target cascading (ATC) extended by ALC) are discussed and compared. Furthermore, the dual residual theory for the centralized ALC is extended to the distributed ALC, and a new flexible nonmonotone weight update is proposed and tested. Numerical tests show that the proposed update effectively improves the accuracy and robustness of the distributed ALC on a benchmark engineering test problem.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/doi/10.1115/1.4035501/6229633/md_139_03_031401.pdf

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