- 期刊
- OpenAccess
L∞ Metric based Multi-Objective Differential Evolution Algorithm and its Industrial Application
摘要
In multi-objective optimization problems, the objective space of fitness functions has a close relationship with the solution space. Extracting the optimal direction and optimal parameter information are very useful for the optimization process. This paper proposes multi-objective differential evolution algorithm with a clustering based objective space division and parameter adaptation (MODECD). L∞ metric matrix based optimal strategy is used to split the objective space into sub-spaces and to extract the optimal directions. A fitness value based parameter adaptation and mutation strategy are used to extract the optimal strategy information. The results with 20 benchmark tests show the competitiveness of the MODECD algorithm in both convergence speed and diversity of solution approximating the Pareto front. In addition, MODECD is used to optimize the fermentation process of sodium gluconate as an example of its superior performance in solving real-world problems.
延伸閱讀
- 林中儀（2018）。A Self-adaptive Multiobjective Differential Evolution Algorithm for the Environmental/Economic Dispatch Problem〔碩士論文，國立臺灣師範大學〕。華藝線上圖書館。https://doi.org/10.6345/THE.NTNU.DCSIE.004.2018.B02
- Ho, S. H., Lee, H. C., Sun, S. H., & Lin, S. M. (2015). Application of Multi-Step Differential Transform Method on Forced Complex Duffing Oscillators Problem. In 中華民國振動與噪音工程學會 (Ed.), 中華民國振動與噪音工程學會論文集 (pp. 395-400). 中華民國振動與噪音工程學會. https://www.airitilibrary.com/Article/Detail?DocID=a0000192-201506-201509220005-201509220005-395-400
- 許展榮（2009）。A Modified Differential Evolution Algorithm with Activation Strategy〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200901093
- Yeh, K. C. (2007). Differential Evolution Algorithm with Adaptive Penalty for Constrained Continuous Global Optimization [master's thesis, Yuan Ze University]. Airiti Library. https://doi.org/10.6838/YZU.2007.00190
- Sun, X. L., & Li, X. D. (2009). Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay. Discrete Dynamics in Nature and Society, 2009(), 346-357. https://doi.org/10.1155/2009/289480