V2EX combinatorial-optimization

Combinatorial Optimization

定义 Definition

组合优化:在离散的选择空间(如排列、子集、图结构)中,寻找使某个目标函数(如成本最小、收益最大)达到最优的解的一类优化问题与方法,常见于路径规划、调度、网络设计等。

发音 Pronunciation (IPA)

/kmbantri ptmzen/

例句 Examples

Combinatorial optimization helps choose the best route for deliveries.
组合优化有助于为配送选择最佳路线。

Many real-world problemssuch as airline scheduling and network designcan be modeled as combinatorial optimization tasks, but they often become computationally hard as the problem size grows.
许多现实问题例如航班排班与网络设计都可以建模为组合优化任务,但随着规模增大,它们往往会变得计算上很困难。

词源 Etymology

combinatorial 来自 combine(“组合”)及其相关形式,强调“由离散对象的组合/排列构成”。optimization 来自 optimum(“最优”),指“寻找最佳”。合在一起即“在离散组合结构中寻找最优解”。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Combinatorial Optimization: Algorithms and Complexity(Christos H. Papadimitriou & Kenneth Steiglitz)
  • Combinatorial Optimization: Polyhedra and Efficiency(Alexander Schrijver)
  • Network Flows: Theory, Algorithms, and Applications(Ravindra K. Ahuja, Thomas L. Magnanti, James B. Orlin)
  • The Traveling Salesman Problem: A Computational Study(David L. Applegate, Robert E. Bixby, Václav Chvátal, William J. Cook)
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