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外文翻译运用紧凑相邻法则对非规则零件图样进行大规模编排
设计巴巴工作室
Large-scale nesting of irregular patterns using
compact neighborhood algorithm
S.K. Cheng, K.P. Rao*
The typical nesting technique that is widely used is the geometrical tilting of a single pattern or selected cluster step by step from the
original position to an orientation of 1808, i.e. orthogonal packing. However, this is a blind search of best stock layout and, geometrically, it
becomes inef?cient when several pattern entities are involved. Also, it is not highly suitable for handling patterns with a range of orientation
constraints. In this paper, an algorithm is proposed which combines the compact neighborhood algorithm (CNA) with the genetic algorithm
(GA) to optimize large-scale nesting processes with the consideration of multiple orientation constraints. # 2000 Elsevier Science S.A. All
rights reserved.
Keywords: Cutting stock problem; Nesting; Compact neighborhood algorithm; Genetic algorithm; Orientation constraints
1. Introduction
The cutting stock problem is of interest to many industries
like garment, paper, ship building, and sheet metal indus-
tries. Gilmore and Gomory [7] have initiated the research
work to solve the rectangular cutting stock problem by using
linear programming. For the irregular case, Adamowicz [1]
attempted to use a heuristic approach which divides the
problem into two sub-problems, called clustering and nest-
ing. Clustering is to specify a collection of patterns that ?t
well together before nesting onto a given stock. Nesting of
patterns or clusters can be broadly divided into two broad
categories, namely, small-scale and large-scale. The differ-
ence between them is the level of duplication of the cluster
on the given stock. For small-scale nesting, we only need to
?nd the inter-orientation relationship between the selected
cluster and the given stock [4]. However, the problem
becomes more complicated for large-scale nesting since
the inter-space relationship between the duplicated clusters
should also be considered. T
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