The mathematical model for two - level hierarchical system optimization and their decomposition - coordination algorithms 二阶递阶系统优化的数学模型及其分解协调算法
Details are as follows : we deal with properties of bilevel linear programming and prove the equivalence of bilevel linear programming and optimization over the efficient set . a class of multi - objective tow level programming , i . e . the upper - level is single objective and the lower - level is linear multi - objective , is mainly discussed . it can be converted into the optimization over the efficient set with parameter and an algorithm is given with its finite termination being proved ; when the upper - level is linear function , an exact penalty function algorithm is given 分层(分级)递阶系统是社会组织管理的主要形式,多层规划是研究这类系统优化问题的基本模型,其鲜明的实际背景和广泛的应用前景引起了人们的广泛关注,成为一个新兴的活跃的研究领域,本论文研究了二层规划中的若干问题,主要工作如下:讨论了二层线性规划的性质,并证明了它与零有效集上优化问题的等价性;对一类二层多目标规划(上层为单目标规划、下层为线性多目标规划的问题)进行了探讨,将其转化为含参变量的有效集上的优化问题,进而给出了一种算法,并证明了该算法的有限终止性;当上层为线性单目标时,给出了一种罚函数方法
递: hand over; pass; give阶: steps; stairs系统: system分级系统;递阶系统: hierarchical system二阶系统: second order system; second-order systems一阶系统: first-order systems线性二阶系统: linear second-order system递阶控制系统: hierarchical control system二阶系统的过渡函数: admittances of a second-order system高阶系统并列输出入: parallel input/output highlevel system高阶系统串行输出入: serial inputoutput high level systemss; serial input/output, high level systems高阶系统微算机组件: microcomputer components highlevel system; microcomputer components, highlevel system一阶系统的过渡函数: admittances of a first-order system较高阶系数: coefficient of higher order; coefficientofhigherorder递阶规划: hierarchical planning递阶结构: hierarchical structure递阶控制: hierarchical control◇递阶控制系统 hierarchical control system递阶参数估计: hierarchical parameter estimation多段递阶控制: multistratum hierarchical control多级递阶结构: multilevel hierarchical structure经济递阶模型: economic hierarchical model; economics hierarchic models生态递阶模型: ecosystem hierarchical model层次模型 分层模型 递阶模型: hierarchicalmodelt系统: t system系统: 1.(按一定关系组成的同类事物) system 财贸系统 departments of trade and finance and affiliated organizations; 灌溉系统 irrigation system; 通过组织系统 through organizational channels2.(有条理的;有系统的) systematic 作系统的研究 make a systematic study; 系统地说明 explain in a systematic way; 系统的调查研究 systematic investigation and study; 系统的选择方案 [系统工程] system alternative; 系统工程(学) systems [systematic] engineering; 系统化 systematization; 系统最优化 system optimization