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国家自然科学基金(10271073): 作品数：10被引量：11H指数：2; 导出分析报告; 相关作者：张连生杨永健高岳林顾燕红姚奕荣更多>>; 相关机构：上海大学深圳大学更多>>; 相关期刊：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》《应用数学和力学》《应用数学》《Journal of Systems Science & Complexity》更多>>; 相关主题：QUASIMETHODSSOMEREVERSEPROBLEM更多>>; 相关领域：理学自动化与计算机技术一般工业技术更多>>

简单光滑精确指数乘子罚函数被引量：1: 《数学年刊（A辑）》2010年第4期475-486,共12页张连生顾燕红; 国家自然科学基金(No.10271073)资助的项目.; 解决有约束非线性规划问题的一个基本方法是将之简化为无约束问题,比如罚函数法.其中精确罚函数法是通过解决某个无约束问题来获得原有约束问题的一个解.就经典的罚函数定义而言,简单精确罚函数是非光滑的,从而难以处理.作者提出一个简...; 关键词：有约束非线性规划精确罚函数指数乘子罚函数 K-K-T条件二阶充分条件

A gradually descent method for discrete global optimization被引量：1: 《Journal of Shanghai University(English Edition)》2007年第1期39-44,共6页杨永建张连生; Project supported by the National Natural Science Foundation of China(Grant No.10271073); In this paper, a new method named as the gradually descent method was proposed to solve the discrete global optimization problem. With the aid of an auxiliary function, this method enables to convert the problem of fi...; 关键词：gradually descent method nonlinear integer programming integer programming ALGORITHM

Two-parameters quasi-filled function algorithm for nonlinear integer programming被引量：3: 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2006年第12期2083-2087,共5页WANG Wei-xiang SHANG You-lin ZHANG Lian-sheng; Project (Nos. 10571137 and 10271073) supported by the NationalNatural Science Foundation of China; A quasi-filled function for nonlinear integer programming problem is given in this paper. This function contains two parameters which are easily to be chosen. Theoretical properties of the proposed quasi-filled functi...; 关键词：Integer programming Local minimizer Global minimizer Filled function Global optimization

求解带二次约束的非凸二次规划的一种分支定界算法(英文)被引量：2: 《应用数学》2006年第1期25-29,共5页杨永健高岳林; SupportedbytheNationalNaturalScienceFoundation(10271073); 本文提出了一种求解带二次约束和线性约束的二次规划的分支定界算法.在算法中,我们运用Lipschitz条件来确定目标函数和约束函数的在每个n矩形上的上下界,对于n矩形的分割,我们采用选择n矩形最长边的二分法,同时我们采用了一些矩形删除技...; 关键词：二次规划二次约束分支定界最优化

An exact algorithm for optimal redundancy in a series system with multiple component choices: 《Journal of Shanghai University(English Edition)》2006年第1期15-19,共5页孙小玲阮宁; ProjectsupportedbyNationalNaturalScienceFoundationofChina(GrantNos.79970107,10271073); In this paper, an exact algorithm was proposed for optimal redundancy in a series system with multiple component choices. A reformulation of the nonseparable reliability function was approximated by a separable intege...; 关键词：reliability optimization multiple component choices Lagrangian relaxation and dual search partition scheme numerical results.

一类光滑凸规划的牛顿法: 《应用数学和力学》2005年第11期1351-1358,共8页姚奕荣张连生韩伯顺; 国家自然科学基金资助项目(10271073); 给出了一个求解一类光滑凸规划的算法,利用光滑精确乘子罚函数把一个光滑凸规划的极小化问题化为一个紧集上强凸函数的极小化问题,然后在给定的紧集上用牛顿法对这个强凸函数进行极小化.; 关键词：凸规划牛顿法 KKT乘子

A Hybrid Dynamic Programming Method for Concave Resource Allocation Problems: 《Journal of Shanghai University(English Edition)》2005年第2期95-98,共4页姜计荣孙小玲; Project supported by the National Natural Science Foundation oChina (Grant os.79970107 and 10271073); Concave resource allocation problem is an integer programming problem of minimizing a nonincreasing concave function subject to a convex nondecreasing constraint and bounded integer variables. This class of problems a...; 关键词：nonlinear integer programming resource allocation linear underestimation 0-1linearization dynamic programming.

One-parameter quasi-filled function algorithm for nonlinear integer programming被引量：2: 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第4期305-310,共6页尚有林韩伯顺; Project (No. 10271073) supported by the National Natural Science Foundation of China; A definition of the quasi-filled function for nonlinear integer programming problem is given in this paper. A quasi-filled function satisfying our definition is presented. This function contains only one parameter. Th...; 关键词：Integer programming Local minimizer Global minimizer Filled function Global optimization

有界整规划中的渐近强非线性对偶: 《数学年刊（A辑）》2004年第5期677-684,共8页张连生白富生; 国家自然科学基金(No.10271073)资助的项目.; 本文提出了一种整数规划中的指数一对数对偶.证明了此指数-对数对偶方法具有的渐近强对偶性质,并提出了不需要进行对偶搜索来解原整数规划问题的方法.特别地,当选取合适的参数和对偶变量时,原整数规划问题的解可以通过解一个非线性松弛...; 关键词：整数规划非线性对偶指数-对数对偶渐近强对偶

CONVEXIFICATION AND CONCAVIFICATION METHODS FOR SOME GLOBAL OPTIMIZATION PROBLEMS被引量：3: 《Journal of Systems Science & Complexity》2004年第3期421-436,共16页WUZhiyou ZHANGLiansheng BAIFusheng YANGXinmin; This research is supported by the National Natural Science Foundation of China(Grant 10271073).; In this paper, firstly, we propose several convexification and concavification transformations to convert a strictly monotone function into a convex or concave function, then we propose several convexification and con...; 关键词：Global optimal solution concave minimization reverse convex programmingproblem D.C. programming problem CONVEXIFICATION CONCAVIFICATION

国家自然科学基金(10271073)