• DocumentCode
    1501029
  • Title

    Algorithms for sheet metal nesting

  • Author

    Herrmann, Jeffrey W. ; Delalio, David R.

  • Author_Institution
    Dept. of Mech. Eng., Maryland Univ., College Park, MD, USA
  • Volume
    17
  • Issue
    2
  • fYear
    2001
  • fDate
    4/1/2001 12:00:00 AM
  • Firstpage
    183
  • Lastpage
    190
  • Abstract
    This paper discusses the problem of minimizing the cost of sheet metal punching when nesting (batching) orders. Although the problem is NP-complete, the solution to a linear programming relaxation yields an efficient heuristic. This paper analyzes the heuristic´s worst-case performance and discusses experimental results that demonstrate its ability to find good solutions across a range of cost parameters and problem sizes
  • Keywords
    bin packing; computational complexity; heuristic programming; linear programming; minimisation; production control; relaxation theory; LP; NP-complete problem; cost minimization; efficient heuristic; linear programming relaxation; order batching; sheet metal nesting; sheet metal punching; Blanking; Condition monitoring; Costs; Finishing; Inorganic materials; Linear programming; Manufacturing processes; Performance analysis; Punching; Sheet materials;
  • fLanguage
    English
  • Journal_Title
    Robotics and Automation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1042-296X
  • Type

    jour

  • DOI
    10.1109/70.928563
  • Filename
    928563