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Arbitrary convex and concave rectilinear block packing using sequence-pair

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2 Author(s)
Fujiyoshi, K. ; Dept. of Electron. Eng., Tokyo Univ. of Agric. & Technol., Japan ; Murata, H.

The sequence-pair was proposed in 1995 as a representation of the packing of rectangles of general structure. Since then, there have been efforts to expand its applicability over simple rectangles. This paper proposes a unified way to represent the packing of a set of rectilinear blocks, including arbitrary concave rectilinear blocks. Our idea is in the representation of a general block by a collection of rectangle blocks with additional constraints, Some sequence-pairs of rectangle blocks with such constraints may not be feasible, i.e., there is no corresponding parking. A necessary and sufficient condition of feasible sequence-pair is given by the properties of the horizontal and vertical constraint graphs. Furthermore, it is proved that any packing is represented by a feasible sequence-pair. The condition includes dimensions of blocks involved. If we limit the rectilinear blocks to L-shaped ones, a necessary and sufficient condition can be represented only in terms of the topology of the sequence-pair, without dimensions of blocks. A packing algorithm is designed as an SA search of the generated sequence-pairs. Experimental results show the effectiveness of the proposed method

Published in:

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:19 ,  Issue: 2 )

Date of Publication:

Feb 2000

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