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用累差法和累积法求递归数列的通项公式
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作者 燕志学 李开学 《成都教育学院学报》 2001年第7期64-65,共2页
关键词 累差法 递归数列 通项公式 职业技术教育 数学教育 解题方 中等教育
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Multi-objective optimization for draft scheduling of hot strip mill 被引量:2
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作者 李维刚 刘相华 郭朝晖 《Journal of Central South University》 SCIE EI CAS 2012年第11期3069-3078,共10页
A multi-objective optimization model for draft scheduling of hot strip mill was presented, rolling power minimizing, rolling force ratio distribution and good strip shape as the objective functions. A multi-objective ... A multi-objective optimization model for draft scheduling of hot strip mill was presented, rolling power minimizing, rolling force ratio distribution and good strip shape as the objective functions. A multi-objective differential evolution algorithm based on decomposition (MODE/D). The two-objective and three-objective optimization experiments were performed respectively to demonstrate the optimal solutions of trade-off. The simulation results show that MODE/D can obtain a good Pareto-optimal front, which suggests a series of alternative solutions to draft scheduling. The extreme Pareto solutions are found feasible and the centres of the Pareto fronts give a good compromise. The conflict exists between each two ones of three objectives. The final optimal solution is selected from the Pareto-optimal front by the importance of objectives, and it can achieve a better performance in all objective dimensions than the empirical solutions. Finally, the practical application cases confirm the feasibility of the multi-objective approach, and the optimal solutions can gain a better rolling stability than the empirical solutions, and strip flatness decreases from (0± 63) IU to (0±45) IU in industrial production. 展开更多
关键词 hot strip mill draft scheduling multi-objective optimization multi-objective differential evolution algorithm based ondecomposition (MODE/D) Pareto-optimal front
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