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An Analytical Algorithm for Placement of Arbitrarily Sized Rectangular Blocks

机译:任意大小矩形块放置的解析算法

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This paper presents a novel mathematical formulation to the placement of arbitrarily sized rectangles that simultaneously account for the topological and geometrical characteristics of the placement problem. Special attention is paid to maintain the continuity of the formulation. Two examples are given to demonstrate the performance of the algorithm. Identical placement is obtained from two different initial placements of an example which has 8 movable components and 29 signal nets. For a practical example with 15 movable blocks and 142 signal nets, a final placement which is manual solution comparable is obtained using random initial positions.
机译:本文为任意大小的矩形的放置提出了一种新颖的数学公式,该方法同时考虑了放置问题的拓扑和几何特征。要特别注意保持配方的连续性。给出两个例子来说明该算法的性能。从示例的两个不同的初始位置获得相同的位置,该示例具有8个可移动组件和29个信号网。对于具有15个可移动块和142个信号网的实际示例,使用随机初始位置可获得与手动解决方案可比较的最终放置。

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