V2EX revised simplex

Revised Simplex

释义 Definition

“Revised simplex”(修正单纯形法/修订单纯形法):线性规划中一种高效实现单纯形法的计算形式。它不显式维护整个单纯形表(tableau),而是主要通过维护基矩阵及其逆(或分解)来计算换入/换出变量,从而在大规模问题中更省内存、计算更高效。

发音 Pronunciation (IPA)

/rvazd smplks/

例句 Examples

We solved the linear program using the revised simplex method.
我们使用修正单纯形法求解了这个线性规划问题。

In large-scale optimization, the revised simplex algorithm updates the basis efficiently without storing the full tableau, which can greatly reduce memory usage.
在大规模优化中,修正单纯形算法无需存储完整单纯形表就能高效更新基,从而显著降低内存占用。

词源 Etymology

“Revised”意为“修订的/改进的”,这里强调对经典单纯形法(simplex method)的实现方式做了改进;“simplex”源自拉丁语 simplex(意为“单一的、简单的”),在数学语境中引申为“单纯形”以及与之相关的“单纯形法”。“Revised simplex”因此指“以更高效的(修订过的)方式实现的单纯形法”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • George B. Dantzig, Linear Programming and Extensions(线性规划经典著作中系统讨论单纯形法及其实现思路,常涉及修正单纯形的观点与变体)
  • Dimitris Bertsimas & John N. Tsitsiklis, Introduction to Linear Optimization(教材中通常对单纯形法与修正实现进行讲解)
  • Vasek Chvátal, Linear Programming(讲述单纯形法与相关实现细节,常提到修正单纯形的计算优势)
  • Robert J. Vanderbei, Linear Programming: Foundations and Extensions(实践导向教材中常以“revised simplex”作为主流实现来介绍)
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