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列生成算法 (Dantzig-Wolfe)

列生成算法由 George B. Dantzig 和 Philip Wolfe 于 1960 年提出,是一种强大的优化技术,用于解决具有特殊结构的大规模线性规划问题。该方法也称为 Dantzig-Wolfe 分解,它将问题分解为一个主问题(仅限于变量/列的子集)和一个定价子问题(识别新变量),通过引入相关列迭代地改进解决方案。

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来源

  1. Dantzig, G. B., & Wolfe, P. (1960). Decomposition principle for linear programs. Operations Research, 8(1), 101-111. DOI: 10.1287/opre.8.1.101
  2. Gilmore, P. C., & Gomory, R. E. (1961). A linear programming approach to the cutting-stock problem. Operations Research, 9(6), 849-859. DOI: 10.1287/opre.9.6.849

如何引用本页

ScholarGate. (2026, June 3). Column Generation (Dantzig-Wolfe Decomposition). ScholarGate. https://scholargate.app/zh/operations-research/column-generation

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被引用于

ScholarGateColumn Generation (Dantzig-Wolfe) (Column Generation (Dantzig-Wolfe Decomposition)). 于 2026-06-15 检索自 https://scholargate.app/zh/operations-research/column-generation · 数据集: https://doi.org/10.5281/zenodo.20539026