A new heuristic algorithm for rectangle packing

  • Authors:
  • Wenqi Huang;Duanbing Chen;Ruchu Xu

  • Affiliations:
  • College of Computer Science, Huazhong University of Science and Technology, Wuhan 430074, China;College of Computer Science, Huazhong University of Science and Technology, Wuhan 430074, China;College of Computer Science, Huazhong University of Science and Technology, Wuhan 430074, China

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2007

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Abstract

The rectangle packing problem often appears in encasement and cutting as well as very large-scale integration design. To solve this problem, many algorithms such as genetic algorithm, simulated annealing and other heuristic algorithms have been proposed. In this paper, a new heuristic algorithm is recommended based on two important concepts, namely, the corner-occupying action and caving degree. Twenty-one rectangle-packing instances are tested by the algorithm developed, 16 of which having achieved optimum solutions within reasonable runtime. Experimental results demonstrate that the algorithm developed is fairly efficient for solving the rectangle packing problem.