TY - JOUR
T1 - Dominant augmented Lagrangian coordination method for complex system optimization
AU - Nie, Duxian
AU - Qu, Ting
AU - Wang, Meilin
AU - Zhang, Ting
AU - Huang, George Q.
N1 - Funding Information:
Project supported by the National Natural Science Foundation, China(No.51475095, 61473093), the Guangdong Provincial Natural Science Foundation, China(No.2016A030311041), the 2015 Guangdong Special Support Scheme, China(No.2014TQ01X706), the High-level Talent Scheme of Guangdong Provincial Education Department, China(No.2014-2016), the Guangzhou Science and Technology Research Special Support, China(No.201607010154).
Publisher Copyright:
© 2017, Editorial Department of CIMS. All right reserved.
PY - 2017/2/1
Y1 - 2017/2/1
N2 - Due to the deficiency of two coordination mode in Augmented Lagrangian Coordination (ALC) method that were a main problem in centralized ALC method to coordinate all the sub-problems leaded to the increase of couplings, and the sub-problems needed to be solved sequentially in the distributed ALC method, a Dominant Augmented Lagrangian Coordination (DALC) method was presented based on tradeoff between parallelism and efficiency. In DALC method, an existing sub-problem was selected as the master problem to coordinate other sub-problems. The principle of existing sub-problem selection and DALC's application conditions were discussed respectively, DALC's mathematical equivalence proof and convergence analysis were given in details. Experimental simulation results showed that the proposed method was effective and feasible, which provided a comprehensive reference for scholars to solve optimization problems such as complex mechanical design.
AB - Due to the deficiency of two coordination mode in Augmented Lagrangian Coordination (ALC) method that were a main problem in centralized ALC method to coordinate all the sub-problems leaded to the increase of couplings, and the sub-problems needed to be solved sequentially in the distributed ALC method, a Dominant Augmented Lagrangian Coordination (DALC) method was presented based on tradeoff between parallelism and efficiency. In DALC method, an existing sub-problem was selected as the master problem to coordinate other sub-problems. The principle of existing sub-problem selection and DALC's application conditions were discussed respectively, DALC's mathematical equivalence proof and convergence analysis were given in details. Experimental simulation results showed that the proposed method was effective and feasible, which provided a comprehensive reference for scholars to solve optimization problems such as complex mechanical design.
KW - Centralized augmented Lagrangian coordination method
KW - Complex system
KW - Distributed augmented Lagrangian coordination method
KW - Dominant augmented Lagrangian coordination method
KW - Optimization design
UR - http://www.scopus.com/inward/record.url?scp=85019830690&partnerID=8YFLogxK
U2 - 10.13196/j.cims.2017.02.022
DO - 10.13196/j.cims.2017.02.022
M3 - Journal article
AN - SCOPUS:85019830690
SN - 1006-5911
VL - 23
SP - 422
EP - 432
JO - Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems, CIMS
JF - Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems, CIMS
IS - 2
ER -