V2EX uniform-cost search

Uniform-Cost Search

定义 Definition

一致代价搜索(Uniform-Cost Search, UCS):一种图/树搜索算法,每次都从候选路径中选择累计代价(path cost)最小的节点进行扩展。若每一步代价非负,UCS 在找到目标时能保证找到总代价最小的最优解。(它常被视为 Dijkstra 算法在搜索问题中的对应形式。)

发音 Pronunciation (IPA)

/junfrm kst st/

例句 Examples

Uniform-cost search always expands the cheapest path first.
一致代价搜索总是优先扩展当前总代价最低的路径。

In route planning, uniform-cost search can outperform breadth-first search when road segments have different costs, because it prioritizes lower total travel cost rather than fewer steps.
在路径规划中,当道路路段代价不同,一致代价搜索往往比广度优先搜索更合适,因为它优先考虑更低的总出行代价,而不是更少的步数。

词源 Etymology

该术语由三部分构成:uniform(一致的、统一的)+ cost(代价、费用)+ search(搜索)。其心含义是:搜索过程以“代价”作为统一的排序标准,用累计代价来决定扩展顺序,因此称为“统一/一致代价搜索”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Artificial Intelligence: A Modern Approach(Stuart Russell, Peter Norvig)在“搜索”章节中系统介绍一致代价搜索及其最优性条件。
  • Artificial Intelligence: Foundations of Computational Agents(David L. Poole, Alan K. Mackworth)用于讲解基于代价的最优搜索框架。
  • Principles of Artificial Intelligence(Nils J. Nilsson)在经典 AI 搜索方法的讨论中提及与对比相关策略。
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