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Distributed Alternating Direction Method of Multipliers for Multi-Objective Optimization 被引量:1
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作者 Hui Deng yangdong xu 《Advances in Pure Mathematics》 2022年第4期249-259,共11页
In this paper, a distributed algorithm is proposed to solve a kind of multi-objective optimization problem based on the alternating direction method of multipliers. Compared with the centralized algorithms, this algor... In this paper, a distributed algorithm is proposed to solve a kind of multi-objective optimization problem based on the alternating direction method of multipliers. Compared with the centralized algorithms, this algorithm does not need a central node. Therefore, it has the characteristics of low communication burden and high privacy. In addition, numerical experiments are provided to validate the effectiveness of the proposed algorithm. 展开更多
关键词 Alternating Direction Method of Multipliers Distributed Algorithm Multi-Objective Optimization Multi-Agent System
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Well-Posedness for Tightly Proper Efficiency in Set-Valued Optimization Problem
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作者 yangdong xu Pingping Zhang 《Advances in Pure Mathematics》 2011年第4期184-186,共3页
In this paper, a characterization of tightly properly efficient solutions of set-valued optimization problem is obtained. The concept of the well-posedness for a special scalar problem is linked with the tightly prope... In this paper, a characterization of tightly properly efficient solutions of set-valued optimization problem is obtained. The concept of the well-posedness for a special scalar problem is linked with the tightly properly efficient solutions of set-valued optimization problem. 展开更多
关键词 SET-VALUED OPTIMIZATION PROBLEM Tightly PROPER EFFICIENCY WELL-POSEDNESS
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