V2EX cutting plane

Cutting Plane

Definition / 定义

cutting plane(切割平面;截平面)
1)(几何/工程制图)指用来切开三维物体以获得截面的平面,用于分析内部结构或生成剖视图。
2)(运筹学/优化)指割平面(法):在整数规划等问题中,逐步加入新的不等式约束(“割”)来排除不可行的分数解,逼近整数可行解。
注:在不同学科中侧重点不同,但核心都是“用一个平面/约束把空间切分”。

Pronunciation / 发音

/kt plen/

Examples / 例句

The cutting plane reveals the inside of the model.
切割平面展示了模型的内部结构。

In integer programming, the cutting plane method adds constraints iteratively to tighten the relaxation and eliminate fractional solutions.
在整数规划中,割平面法通过迭代加入约束来收紧松弛问题,并排除分数解。

Etymology / 词源

cut(切割)+ -ing(表示进行中的动作/用途)+ plane(平面)组成,字面意思是“用于切割的平面”。在工程制图里它是真正的几何平面;在优化里则借用这一形象,比喻“像切开空间一样,用约束把可行域切掉一部分”。

Related Words / 相关词

Literary Works / 文学作品

  • Linear Programming and Extensions George B. Dantzig
  • Theory of Linear and Integer Programming Alexander Schrijver
  • Integer and Combinatorial Optimization George L. Nemhauser & Laurence A. Wolsey
  • Convex Optimization Stephen Boyd & Lieven Vandenberghe
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     5293 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 63ms UTC 07:47 PVG 15:47 LAX 00:47 JFK 03:47
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86