A parallel algorithm for tiling problems

  • Authors:
  • Y. Takefuji;Y. -C. Lee

  • Affiliations:
  • Dept. of Electr. Eng. & Appl. Phys., Case Western Reserve Univ., Cleveland, OH;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1990

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Abstract

A parallel algorithm for tiling with polyominoes is presented. The tiling problem is to pack polyominoes in a finite checkerboard. The algorithm using l×m×n processing elements requires O(1) time, where l is the number of different kinds of polyominoes on an m×n checkerboard. The algorithm can be used for placement of components or cells in a very large-scale integrated circuit (VLSI) chip, designing and compacting printed circuit boards, and solving a variety of two- or three-dimensional packing problems