Combined Homotopy Method for a Class of Nonconvex Multiobjective Optimization Problems

Publication year: 2011 Source: Energy Procedia, Volume 11, 2011, Pages 15-19 He Li, Zhu Tian-xing, Liu Qinghuai This paper, we discussed a class of nonconvex composite multi-objective optimization problems under the weaker assumption conditions. We construct a new homotopy continuation mapping and obtain a smooth bounded homotopy path which converges globally to the K-K-T solution of multi-objective programming.

Publication year: 2011 Source: Energy Procedia, Volume 11, 2011, Pages 15-19 He Li, Zhu Tian-xing, Liu Qinghuai This paper, we discussed a class of nonconvex composite multi-objective optimization problems under the weaker assumption conditions. We construct a new homotopy continuation mapping and obtain a smooth bounded homotopy path which converges globally to the K-K-T solution of multi-objective programming.

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Combined Homotopy Method for a Class of Nonconvex Multiobjective Optimization Problems