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分支定界法 (Branch and Bound)

分支定界法是一种用于组合优化和整数规划问题的系统性精确算法,由 Ailsa Land 和 Alison Doig 于 1960 年提出。它将搜索空间组织成一个子问题树,利用松弛法导出的上界来剪除无法改进已知最优解的分支,并保证找到全局最优整数解。它是运筹学、物流、调度和工程设计中现代混合整数规划求解器的基石。

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来源

  1. Land, A. H., & Doig, A. G. (1960). An automatic method of solving discrete programming problems. Econometrica, 28(3), 497–520. DOI: 10.2307/1910129

如何引用本页

ScholarGate. (2026, June 2). Branch and Bound. ScholarGate. https://scholargate.app/zh/optimization/branch-and-bound

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被引用于

ScholarGateBranch and Bound (Branch and Bound). 于 2026-06-15 检索自 https://scholargate.app/zh/optimization/branch-and-bound · 数据集: https://doi.org/10.5281/zenodo.20539026