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A Decomposition Method and Its Application to Block Angular Linear Programs

机译：一种分解方法及其在块角线性规划中的应用

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摘要

In this paper we propose and develop techniques for solving structured, large-scale convex programming problems. The procedure is a combination of a decomposition technique of Dantzig-Wolfe type and the proximal point method. The proximal point method is used to overcome the drawbacks of the decomposition technique. The procedure is then used to solve block angular linear programming problems. By exploiting the linearity of the problem we have several variants of the procedure. (Author)

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作者
Ha, C. D.;
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年度 1981
页码 p.1-55
总页数 55
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear programming; Decomposition; Convex sets; Iterations; Simplex method; Matrices(Mathematics); Random variables; Theorems; Computer programming;

机译：线性规划;分解;凸集;迭代;单纯形法;矩阵（数学）;随机变量;定理;计算机编程;

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专利

1. An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Integer Programming Problems with Block-Angular Structures through Genetic Algorithms with Decomposition Procedures [J] . Masatoshi Sakawa, Kosuke Kato Advances in Operations Research . 2009,第Null期

机译：遗传算法分解程序求解块角结构多目标非线性整数规划问题的交互式模糊满足方法
2. An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Integer Programming Problems with Block-Angular Structures through Genetic Algorithms with Decomposition Procedures [J] . MasatoshiSakawa, KosukeKato Advances in Operations Research . 2009,第2期

机译：遗传算法分解程序求解块角结构多目标非线性整数规划问题的交互式模糊满足方法
3. Efficiency of a decomposition method for large-scale multiobjective fuzzy linear programming problems with block angular structure [J] . Masatoshi Sakawa, Kousuke Kato, Hideki Mohara Japanese journal of fuzzy theory and systems . 1997,第5期

机译：具有块角结构的大型多目标模糊线性规划问题分解方法的效率
4. Efficiency of a decomposition method for large-scale multiobjective fuzzy linear programming problems with block angular structure [C] . Sakawa, M., Kato, . 1998

机译：具有块角结构的大型多目标模糊线性规划问题分解方法的效率
5. Numerical methods for estimation of linear, discrete-time, dynamic systems in the block-angular form and applications in GPS. [D] . Huang, Mengjun. 2005

机译：用于估计块角形式的线性，离散时间，动态系统的数值方法及其在GPS中的应用。
6. Comparison of linear and angular measurements using two-dimensional conventional methods and three-dimensional cone beam CT images reconstructed from a volumetric rendering program in vivo [O] . U Oz, K Orhan, N Abe 2011

机译：使用二维常规方法和从体内体绘制程序重建的三维锥束CT图像进行线性和角度测量的比较
7. Bundle-Based Decomposition For Large-Scale Convex Optimization: Error Estimate And Application To Block-Angular Linear Programs [O] . Deepankar Medhi 1994

机译：大规模凸优化的基于捆绑的分解：误差估计及其在块角线性程序中的应用

A Decomposition Method and Its Application to Block Angular Linear Programs

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