Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent...Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an equivalent' special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient. (Author abstract) 11 Refs.展开更多
我国风电基地和负荷中心呈逆向分布,需要通过跨区输送实现异地消纳促进风电可持续发展,目前风电和输电网规划不协调的问题极为突出,提出了风电与输电网综合协调投资规划模型。首先提出了以用户费用、风电及输电网投资总成本最小为目标...我国风电基地和负荷中心呈逆向分布,需要通过跨区输送实现异地消纳促进风电可持续发展,目前风电和输电网规划不协调的问题极为突出,提出了风电与输电网综合协调投资规划模型。首先提出了以用户费用、风电及输电网投资总成本最小为目标函数的风电与输电网投资混合整数线性规划模型(Mixed-Integer Linear Programming,MILP),以确定最优的风电投资规模以及配套输电网建设,通过改进分支定界方法对模型进行求解,通过算例分析验证所构建模型的科学性和合理性。展开更多
文摘Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an equivalent' special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient. (Author abstract) 11 Refs.
文摘我国风电基地和负荷中心呈逆向分布,需要通过跨区输送实现异地消纳促进风电可持续发展,目前风电和输电网规划不协调的问题极为突出,提出了风电与输电网综合协调投资规划模型。首先提出了以用户费用、风电及输电网投资总成本最小为目标函数的风电与输电网投资混合整数线性规划模型(Mixed-Integer Linear Programming,MILP),以确定最优的风电投资规模以及配套输电网建设,通过改进分支定界方法对模型进行求解,通过算例分析验证所构建模型的科学性和合理性。
