An algorithm for determination of the guillotine restrictions for a rectangular cutting-stock pattern

  • Authors:
  • Daniela Marinescu;Alexandra Băicoianu

  • Affiliations:
  • Transilvania University of Braşov, Department of Computer Science, Braşov, Romania;Transilvania University of Braşov, Department of Computer Science, Braşov, Romania

  • Venue:
  • WSEAS Transactions on Computers
  • Year:
  • 2010

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Abstract

Starting from a two-dimensional rectangular Cutting-Stock pattern with gaps, this paper is focuses on the problem of determination if the pattern is with guillotine restrictions or not and proposes an algorithm for solving it. First we present two new graph representations of the cutting pattern, weighted graph of downward adjacency and weighted graph of rightward adjacency. Using these representations we propose a method to verify guillotine restrictions of the pattern which can be apply for cutting-stock pattern with gaps but also for the cutting or covering pattern without gaps and overlapping.