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线性规划 — 线性目标在约束下的最优化

线性规划(LP)由乔治·B·丹齐格(George B. Dantzig)于1947年开创,是一种数学方法,用于在满足一组线性的不等式和等式约束的条件下,找到线性目标函数(如最低成本或最高利润)的最佳值。它是运筹学的基本技术,是生产计划、资源分配、物流、饮食问题以及工程、经济学和自然科学中无数其他决策场景的基础。

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来源

  1. Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
  2. Vanderbei, R.J. (2014). Linear Programming: Foundations and Extensions. Springer. DOI: 10.1007/978-1-4614-7630-6

如何引用本页

ScholarGate. (2026, June 1). Linear Programming (LP). ScholarGate. https://scholargate.app/zh/optimization/linear-programming

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被引用于

ScholarGateLinear Programming (Linear Programming (LP)). 于 2026-06-15 检索自 https://scholargate.app/zh/optimization/linear-programming · 数据集: https://doi.org/10.5281/zenodo.20539026