For current sequential quadratic programming (SQP) type algorithms, there exist two problems; (i) in order to obtain a search direction, one must solve one or more quadratic programming subproblems per iteration, and ...For current sequential quadratic programming (SQP) type algorithms, there exist two problems; (i) in order to obtain a search direction, one must solve one or more quadratic programming subproblems per iteration, and the computation amount of this algorithm is very large. So they are not suitable for the large-scale problems; (ii) the SQP algorithms require that the related quadratic programming subproblems be solvable per iteration, but it is difficult to be satisfied. By using e-active set procedure with a special penalty function as the merit function, a new algorithm of sequential systems of linear equations for general nonlinear optimization problems with arbitrary initial point is presented This new algorithm only needs to solve three systems of linear equations having the same coefficient matrix per iteration, and has global convergence and local superlinear convergence. To some extent, the new algorithm can overcome the shortcomings of the SQP algorithms mentioned above.展开更多
提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最...提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最大推力模式和最小油耗模式仿真结果对比曲线。数字仿真实验的结果表明,SQP算法具有比LP算法更好的优化效果,在工程实际中有很大的应用潜力。展开更多
在改进的带步长限制的序列线性规划(sequential linear programming,SLP)优化思路基础上,编制优化程序,并将其应用到型钢混凝土和钢筋混凝土梁的优化中.实例表明,该优化方法收敛快速且准确.通过对型钢混凝土和钢筋混凝土优化结果的比较...在改进的带步长限制的序列线性规划(sequential linear programming,SLP)优化思路基础上,编制优化程序,并将其应用到型钢混凝土和钢筋混凝土梁的优化中.实例表明,该优化方法收敛快速且准确.通过对型钢混凝土和钢筋混凝土优化结果的比较可知,钢筋混凝土梁在无梁高限制时较型钢混凝土梁经济.展开更多
基金Project partly supported by the National Natural Science Foundation of China and Tianyuan Foundation of China.
文摘For current sequential quadratic programming (SQP) type algorithms, there exist two problems; (i) in order to obtain a search direction, one must solve one or more quadratic programming subproblems per iteration, and the computation amount of this algorithm is very large. So they are not suitable for the large-scale problems; (ii) the SQP algorithms require that the related quadratic programming subproblems be solvable per iteration, but it is difficult to be satisfied. By using e-active set procedure with a special penalty function as the merit function, a new algorithm of sequential systems of linear equations for general nonlinear optimization problems with arbitrary initial point is presented This new algorithm only needs to solve three systems of linear equations having the same coefficient matrix per iteration, and has global convergence and local superlinear convergence. To some extent, the new algorithm can overcome the shortcomings of the SQP algorithms mentioned above.
文摘提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最大推力模式和最小油耗模式仿真结果对比曲线。数字仿真实验的结果表明,SQP算法具有比LP算法更好的优化效果,在工程实际中有很大的应用潜力。
文摘在改进的带步长限制的序列线性规划(sequential linear programming,SLP)优化思路基础上,编制优化程序,并将其应用到型钢混凝土和钢筋混凝土梁的优化中.实例表明,该优化方法收敛快速且准确.通过对型钢混凝土和钢筋混凝土优化结果的比较可知,钢筋混凝土梁在无梁高限制时较型钢混凝土梁经济.
