期刊
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
卷 55, 期 1, 页码 53-62出版社
SPRINGER
DOI: 10.1007/s00158-016-1469-3
关键词
Evolutionary multi-objective optimization; Spacing metric; Overall Pareto spread metric; New distribution metric; Pareto optimal fronts
资金
- National Natural Science Foundation of China [51475288, 51275293]
- Shanghai Municipal Education Commission
- Shanghai Education Development Foundation [12SG14]
- US Ford Motor Company
- ESTECO North America
Evolutionary multi-objective optimization has established itself a core field of research and application, with a proliferation of algorithms derived. During the multi-objective optimization processes, the discovered ideal solutions should be diversely distributed at the Pareto front. In order to measure and compare the performances of different multi-objective evolutionary algorithms, or provide a guidance for the search or a stopping criterion, various performance metrics are defined and used. In this paper, two of the most commonly used metrics, the spacing metric and the overall Pareto spread metric, which evaluate the uniformity and the range of the Pareto solutions' distribution are studied, respectively. A new distribution metric which potentially can combine these two metrics and resolve their deficiencies for comparing Pareto optimal solutions is then proposed. Five typical Pareto fronts and a real practical example are used to demonstrate the effectiveness of the proposed metric by comparing with the subject matter experts' ratings.
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