A Bound for the Number of Different Basic Solutions Generated by the Simplex Method

机译：单纯形法生成的不同基本解的数量的界

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We give an upper bound for the number of different basic feasible solutions generated by the simplex method for a linear programming problem which has optimal solutions. The bound is polynomial of the number of constraints, the number of variables, and the ratio between the minimum and the maximum values of all the positive elements of primal basic feasible solutions.

机译：对于具有最优解的线性规划问题，我们给出了由单纯形法生成的不同基本可行解数目的上限。边界是约束数量，变量数量以及原始基本可行解的所有正元素的最小值与最大值之间的比率的多项式。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|136|共1页
会议地点 Shanghai(CN)
作者
Shinji Mizuno; Tomonari Kitahara;
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作者单位

Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8552, JAPAN;

Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8552, JAPAN;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Linear programming; Simplex method; Basic feasible solutions; Optimal solutions; Number of Iterations;

机译：线性规划；单纯形法；基本可行解；最优解；迭代次数;

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专利

1. A bound for the number of different basic solutions generated by the simplex method [J] . Tomonari Kitahara, Shinji Mizuno Mathematical Programming . 2013,第1a2期

机译：单纯形法生成的不同基本解的数量的界限
2. Computing Kitahara-Mizuno's bound on the number of basic feasible solutions generated with the simplex algorithm [J] . Kuno Takahito, Sano Yoshio, Tsuruda Takahiro Optimization Letters . 2018,第5期

机译：计算kitahara-mizuno的绑定在使用Simplex算法生成的基本可行解决方案的数量上
3. AN UPPER BOUND FOR THE NUMBER OF DIFFERENT SOLUTIONS GENERATED BY THE PRIMAL SIMPLEX METHOD WITH ANY SELECTION RULE OF ENTERING VARIABLES [J] . TOMONARI KITAHARA, SHINJI MIZUNO Asia-Pacific Journal of Operational Research . 2013,第3期

机译：带有任何输入规则选择的原始单纯形法生成的不同解的数量的上界
4. A Bound for the Number of Different Basic Solutions Generated by the Simplex Method [C] . Shinji Mizuno, Tomonari Kitahara International conference on optimization: Techniques and Applications . 2010

机译：一个绑定Simplex方法生成的不同基本解决方案的数量
5. Integrating basic remote sensing, terrain analysis and geostatistical methods to generate spatially explicate continious soil attribute maps for Fraser Experimental Forest. [D] . Norman, John Barstow, III. 2010

机译：集成了基本的遥感，地形分析和地统计方法，为弗雷泽实验森林生成了空间重复的连续土壤属性图。
6. Small Angle X-Ray Scattering from Lipid-Bound Myelin Basic Protein in Solution [O] . H. Haas, C. L. P. Oliveira, I. L. Torriani, 2004

机译：溶液中脂质结合的髓磷脂碱性蛋白的小角度X射线散射
7. A Bound for the Number of Different Basic Solutions Generated by the Simplex Method [O] . Kitahara, Tomonari, Mizuno, Shinji 2011

机译：关于生成的不同基本解的数量的界限单纯形法
8. Optimal Simplex Tableau Characterization of Unique and Bounded Solutions of Linear Programs [R] . Mangasarian, O. L. 1980

机译：线性规划唯一有界解的最优simplex Tableau特征

A Bound for the Number of Different Basic Solutions Generated by the Simplex Method

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