V2EX path cost

Path Cost

释义 Definition

“Path cost” 指“路径代价/路径成本”:在图(graph)或网络中,从一个节点到另一个节点所走“路径”的总花费,通常是把沿途边(edge)的权重相加得到(如距离、时间、费用、风险或能量消耗等)。在算法与路径规划中,它用来判断哪条路“更优”。(不同场景也可能用乘积、最大值等方式定义,但最常见是求和。)

发音 Pronunciation (IPA)

/pθ kst/(英式); /pθ kst/(美式)

例句 Examples

The algorithm chooses the route with the lowest path cost.
算法会选择路径代价最低的路线。

In a weighted graph, the path cost from A to D is the sum of the edge weights along the chosen path, so changing one edge weight can change the optimal route.
在加权图中,从 A 到 D 的路径代价等于所选路径上各边权重之和,因此只要改变一条边的权重,就可能改变最优路线。

词源 Etymology

“Path” 源自古英语 p,意为“道路、小径”;“cost” 源自拉丁语 constare(“花费、付出代价”)经法语进入英语。组合成 “path cost” 后,多用于数学、计算机科学与工程领域,用来表达“走这条路径要付出的总成本”。

相关词 Related Words

文学与经典著作 Literary Works

  • Edsger W. Dijkstra, “A note on two problems in connexion with graphs” (1959)(最短路径问题中以“路径长度/代价”作为核心量度)
  • Thomas H. Cormen et al., Introduction to Algorithms(常用“path cost/weight/length”等概念讲解最短路径算法)
  • Stuart Russell & Peter Norvig, Artificial Intelligence: A Modern Approach(在 A* 等搜索中用路径代价(如 *g(n)*)描述从起点到当前节点的累计成本)
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