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바그너-휘틴 알고리즘×벤더스 분해법(Benders Decomposition)×
분야경영과학경영과학
계열Machine learningMachine learning
기원 연도19581962
창시자Harvey M. Wagner and Thomson M. WhitinJacques F. Benders
유형algorithmalgorithm
원전Wagner, H. M., & Whitin, T. M. (1958). Dynamic version of the economic lot size model. Management Science, 5(1), 89-96. DOI ↗Benders, J. F. (1962). Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik, 4(1), 238-252. DOI ↗
별칭Wagner-Whitin lot-sizing, dynamic lot-sizing algorithmcutting plane method, constraint generation
관련33
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.Benders Decomposition, introduced by Jacques F. Benders in 1962, is a powerful algorithmic framework for solving large-scale mixed-integer programming (MIP) problems. It decomposes the problem into a master problem (controlling complicating variables) and subproblems (handling remaining variables), using cutting planes generated from subproblem dual information to iteratively tighten the master problem.
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