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Wagner-Whitin 算法×列生成算法 (Dantzig-Wolfe)×
领域运筹学运筹学
方法族Machine learningMachine learning
起源年份19581960
提出者Harvey M. Wagner and Thomson M. WhitinGeorge B. Dantzig and Philip Wolfe
类型algorithmalgorithm
开创性文献Wagner, H. M., & Whitin, T. M. (1958). Dynamic version of the economic lot size model. Management Science, 5(1), 89-96. DOI ↗Dantzig, G. B., & Wolfe, P. (1960). Decomposition principle for linear programs. Operations Research, 8(1), 101-111. DOI ↗
别名Wagner-Whitin lot-sizing, dynamic lot-sizing algorithmDantzig-Wolfe decomposition, column generation method
相关33
摘要The Wagner-Whitin Algorithm, introduced by Harvey M. Wagner and Thomson M. Whitin in 1958, is a dynamic programming solution to the capacitated lot-sizing problem. It determines optimal production quantities over multiple periods to minimize the total cost of production setup and inventory holding while meeting deterministic demand.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.
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ScholarGate方法对比: Wagner-Whitin Algorithm · Column Generation (Dantzig-Wolfe). 于 2026-06-17 检索自 https://scholargate.app/zh/compare