摘要
为了改善NSGAⅡ算法的收敛性能,将局部搜索的思想融入到NSGAⅡ中,提出一种带局部搜索的NSGAⅡ算法(NSGAⅡ-LS)。该算法采用基于惩罚的边界插入法(PBI)产生局部搜索的优化函数,并使用序列二次规划方法 (SQP)进行求解。通过在3个多目标标准测试函数上的仿真实验,结果表明相对于NSGAⅡ,NSGAⅡ-LS具有更好的收敛性能。最后将NSGAⅡ-LS应用到带钢热连轧负荷分配优化计算中,给出了兼顾轧制力平衡、最低轧制功率和优良板形的目标函数表达式,对多目标进化算法在热轧负荷分配优化计算中的应用进行研究,指出了目标之间的冲突关系。
In order to improve the convergence performance of NSGA Ⅱ, a new multi - objective evolutionary algorithm, called NSGA Ⅱ , combined with local search （ NSGAⅡ - LS）, is proposed. In NSGA Ⅱ - LS, the penalty - based boundary intersection （PBI） ap- proach is used to give an optimization function for local search, and the sequential quadratic programming （SQP） algorithm is chosen as a local search solver. Simulations on several multi - objective benchmark instances indicate that the convergence performance of NSGA Ⅱ- LS is better than that of NSGA lI. Finally, NSGA Ⅱ - KS is applied to the load distribution optimization of a hot strip mill, with given expressions of objective functions including rolling force balance, rolling power minimizing and good strip shape. The multi - ob- jective optimization for draft scheduling has been performed, and the conflicting relation of 3 objective functions is analyzed.
出处
《控制工程》
CSCD
北大核心
2012年第6期1011-1014,1018,共5页
Control Engineering of China
基金
国家自然科学基金项目(50974039)
