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列生成算法 (Dantzig-Wolfe)×单纯形法×
领域运筹学运筹学
方法族Machine learningMachine learning
起源年份19601947
提出者George B. Dantzig and Philip WolfeGeorge Dantzig
类型algorithmalgorithm
开创性文献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 ↗
别名Dantzig-Wolfe decomposition, column generation methodsimplex algorithm
相关34
摘要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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ScholarGate方法对比: Column Generation (Dantzig-Wolfe) · Simplex Method. 于 2026-06-15 检索自 https://scholargate.app/zh/compare