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| 列生成法（ダンツィグ・ウルフ法）× | シンプレックス法× | |
|---|---|---|
| 分野 | オペレーションズ・リサーチ | オペレーションズ・リサーチ |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 1960 | 1947 |
| 提唱者≠ | George B. Dantzig and Philip Wolfe | George Dantzig |
| 種類 | algorithm | algorithm |
| 原典≠ | Dantzig, G. B., & Wolfe, P. (1960). Decomposition principle for linear programs. Operations Research, 8(1), 101-111. DOI ↗ | Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press. DOI ↗ |
| 別名≠ | Dantzig-Wolfe decomposition, column generation method | simplex algorithm |
| 関連≠ | 3 | 4 |
| 概要≠ | Column Generation, developed by George B. Dantzig and Philip Wolfe in 1960, is a powerful optimization technique for solving large-scale linear programming problems with special structure. Also known as Dantzig-Wolfe Decomposition, it decomposes the problem into a master problem (restricted to a subset of variables/columns) and a pricing subproblem (identifying new variables), iteratively improving the solution by introducing only relevant columns. | The Simplex Method, developed by George Dantzig in 1947, is a foundational algorithm for solving linear programming problems. It systematically explores vertices of the feasible region to find the optimal solution where the objective function is maximized or minimized subject to linear constraints. |
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