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摘要：
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从单板的利用率角度讨论了在卷料上的圆形件排样问题。卷料上的圆形件排样一般有3种排法:并排、品排和基于品排的斜排。由于基于品排的斜排可以极大地减小相邻圆形件间和卷料边界与圆形件间的空隙,因此,被认为是最好的排样法。但具体在什么情况下哪种最好,究竟好多少?从理论分析、数据模拟和实例计算3方面具体分析了上述3种排法,结果显示:基于品排的斜排在绝大部分情况下都优于其他两种方法。而最大行数斜排法又是基于品排的斜排中最优的。最大行数斜排法比并排最多可以提高近6%,而与品排之间的优势随着卷料宽度的增加而减小。
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In this paper,the problem of the circle packing on a roll material is discussed in the view of the utilization rate of the sheet.There are three methods for the circle packing on a roll material which are parallel arrangement,interlaced arrangement and oblique arrangement based on interlaced arrangement.Because of reducing the clearance between the circles,and that also between the circles and edge of the roll material,the last method is considered to be the best one.But when and which is the best concretely? How much does it improve compared with others? This paper analyses these methods mentioned above from the aspects of the theoretical analysis and data simulation and experimental studies.The result shows that the third one is better than others.And the best one of all oblique arrangements is oblique arrangement with the most rows.It increases the utilization rate by 6% higher than that of the parallel arrangement at most;and Its' advantage against interlaced arrangement is weakened when the width of the roll material is increased.
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基金项目：
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作者简介：
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参考文献：
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[1]Collins Charles R.Kenneth Stephenson.A circle packing algo-rithm[J].Computional Geometry,2003,25(3):233 256.
[2]George J A,George J M,Lamar B W.Packing different-sized cir-cles into a rectangular container[J].European Journal of Oper-ational Research,1995,84(3):693 712.
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