Paper Info
Title
Trust-Tech Source-Point Method for Systematically Computing Multiple Local Optimal Solutions: Theory and Method
Abstract
In this article, a Trust-Tech source-point method is proposed to systematically compute multiple local optimal solutions (LOSs) for continuous unconstrained nonlinear optimization problems. This proposed method consists of four stages. Stage I finds one LOS (in which existing effective optimizers can be applied), stage II is the stage of escaping an LOS while stage III is the stage for entering the stability region (SR) of another stable equilibrium point (SEP) (i.e., another LOS). Stage IV computes other SEPs (i.e., LOSs) in corresponding SRs. A theoretical foundation for both stages II and III is developed, and these theoretical results are quite general on their own. The proposed method is numerically evaluated to compute multiple LOSs. For instance, a total of 5085 LOSs have been computed by the proposed Trust-Tech source point method on a 50-D test function. In addition, the proposed method can find the global optimal solutions of several test functions with 50 dimensions and 100 dimensions.
Year
DOI
Venue
2022
10.1109/TCYB.2021.3071462
IEEE Transactions on Cybernetics
Keywords
DocType
Volume
Global optimal solution (GOS),multiple local optimal solutions (LOSs),nonlinear dynamic system,optimization problem,source point,stability region (SR)
Journal
52
Issue
ISSN
Citations 
11
2168-2267
0
PageRank 
References 
Authors
0.34
26
5
Name
Order
Citations
PageRank
Lin Zeng101.01
Hsiao-Dong Chiang219638.81
Dong Liang301.01
Mingchao Xia422.09
Na Dong5274.36