Sequence Triplet Method for 3D Rectangle Packing Problem
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    Abstract:

    The sequence-pair method is a sufficient and finite (P-admissible) coding method for solution space representation of 2D rectangle packing problem, and is proved from a graphical demonstration called Gridding Procedure. Inspired by the 2D sequence-pair method, there should also be sequence-triplet method for 3D rectangle packing problem. But in 3D space, the gridding procedure is difficult to be realized. In this paper, a way is introduced to achieve the sequence-triplet method for 3D rectangle packing problem by analysis and deduction of matrix representation of sequence and partial sequence. This sequence-triplet coding method is P-admissible.

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陆一平,查建中.三维矩形块布局的序列三元组编码方法.软件学报,2002,13(11):2183-2187

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History
  • Received:March 16,2001
  • Revised:June 21,2001
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