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바그너-휘틴 알고리즘×컬럼 생성법 (Dantzig-Wolfe)×심플렉스 방법×
분야경영과학경영과학경영과학
계열Machine learningMachine learningMachine learning
기원 연도195819601947
창시자Harvey M. Wagner and Thomson M. WhitinGeorge B. Dantzig and Philip WolfeGeorge Dantzig
유형algorithmalgorithmalgorithm
원전Wagner, 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 ↗Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press. DOI ↗
별칭Wagner-Whitin lot-sizing, dynamic lot-sizing algorithmDantzig-Wolfe decomposition, column generation methodsimplex algorithm
관련334
요약The 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.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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ScholarGate방법 비교: Wagner-Whitin Algorithm · Column Generation (Dantzig-Wolfe) · Simplex Method. 2026-06-17에 다음에서 검색함: https://scholargate.app/ko/compare