Mathmatical Model of Truncation Incision in a Plane

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Mathmatical Model of Truncation Incision in a Plane

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- Mathmatical Model of Truncation Incision in a Plane
- 平面截断切割的数学模型
- Issue 2, (1999)
- 作者机构：
  
  华北工学院理学系,山西,太原,030051
- 作者简介：
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- Published：1999
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杨明. Mathmatical Model of Truncation Incision in a Plane[J]. 1999, (2).
DOI：

杨明. Mathmatical Model of Truncation Incision in a Plane[J]. 1999, (2). DOI：

摘要

目的在一个平面区域内，采用截断切割方式割出一个已知尺寸位置预定的凸ｍ边形，求一个最优切割顺序，使其总切割长度达到最小．方法采用对切割边进行分类的方法，分析出使切割总长度达到最小的一类最优切割顺序．结果与结论一般说来，最优切割顺序是不唯一的，但其最优值是唯一的．文中的定理１和定理３给出了求最优切割顺序和最小值的方法

Abstract

Aim In a plane

we can get a location convex polygon with truncation incision method. Always

the total length varies with the different of cut order. It is the aim of this paper to find the best cut order which can make the total cut length to a minimum. Methods We solve the problem by sorting the cut edges. Results and Conclusion Commonly

the best cut order is ununigue

but the minimal total cut length is unique. One will reach a best cut order and the minmum if he incises these edges by means of methods of theorem 1 and theorem 3 in this paper.

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