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خوارزمية فاغنر-ويتِن×توليد الأعمدة (دانزيغ-وولف)×
المجالبحوث العملياتبحوث العمليات
العائلةMachine learningMachine learning
سنة النشأة19581960
صاحب الطريقةHarvey M. Wagner and Thomson M. WhitinGeorge B. Dantzig and Philip Wolfe
النوعalgorithmalgorithm
المصدر التأسيسيWagner, 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 ↗
الأسماء البديلةWagner-Whitin lot-sizing, dynamic lot-sizing algorithmDantzig-Wolfe decomposition, column generation method
ذات صلة33
الملخصThe 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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ScholarGateقارن الطرق: Wagner-Whitin Algorithm · Column Generation (Dantzig-Wolfe). استُرجع بتاريخ 2026-06-17 من https://scholargate.app/ar/compare