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Generovanie stĺpcov (Dantzig-Wolfe)×Bendersova dekompozícia×Metóda Simplex×
OdborOperačný výskumOperačný výskumOperačný výskum
RodinaMachine learningMachine learningMachine learning
Rok vzniku196019621947
TvorcaGeorge B. Dantzig and Philip WolfeJacques F. BendersGeorge Dantzig
Typalgorithmalgorithmalgorithm
Pôvodný zdrojDantzig, G. B., & Wolfe, P. (1960). Decomposition principle for linear programs. Operations Research, 8(1), 101-111. DOI ↗Benders, J. F. (1962). Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik, 4(1), 238-252. DOI ↗Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press. DOI ↗
Ďalšie názvyDantzig-Wolfe decomposition, column generation methodcutting plane method, constraint generationsimplex algorithm
Príbuzné334
ZhrnutieColumn 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.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.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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ScholarGatePorovnať metódy: Column Generation (Dantzig-Wolfe) · Benders Decomposition · Simplex Method. Získané 2026-06-17 z https://scholargate.app/sk/compare