%0 Journal Article
%T Harmonious decomposition algorithm and its application in global optimization of pump configurations<br>调速泵结构配置协调分解优化算法及实现
%A ZHANG Gui-jun
%A HONG Zhen
%A YU Li
%A GUO Hai-feng
%A <br>张贵军
%A 洪榛
%A 俞立
%A 郭海锋
%J 控制理论与应用
%D 2011
%I 
%X A two-stage model, which consists of nonlinear continuous programming and nonlinear integer programming sub-problems, is proposed for solving the multi-level pumps configuration problem. The integer nonlinear programming subproblem is solved by using a traditional outer approximation algorithm; the continuous nonlinear programming mainproblem is optimized using a novel harmonious decomposition algorithm based on the cutting angle method (CAM). Some properties of cutting angle method (CAM) are studied and the ill-posed trap limitation is found and proved theoretically. In view of the deficiencies of CAM, we propose a harmonious decomposition algorithm using judgement criterions to exclude the known trap regions in feasible domain; and then, compute the gradually tightening lower bounds on the main optimization problem by building a sequence of piecewise linear relaxation problems. The sequence of solutions to these relaxation problems converges to the global minimum of the optimization problem. Experiment results from a 3-level pump configuration instance show that the proposed method provides better performances than the other optimization methods listed in paper.
%K configuration optimization
%K harmonious decomposition
%K cutting angle method
%K outer approximation algorithm
%K pump<br>结构优化
%K 协调分解
%K 割角法
%K 外逼近法
%K 泵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=1BB91820E52BE1C1782115F1299BA93E&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=00520952CD4BF212&eid=1C3BB0F444F5E427&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=15