• DocumentCode
    1752560
  • Title

    A Nonlinear Programming Model for the Packing of Unequal Circles into a Square Box

  • Author

    Yu, Hong-xia ; Zhang, Li-Wei

  • Author_Institution
    Dept. of Math., Technol. Univ., Dalian
  • Volume
    1
  • fYear
    0
  • fDate
    0-0 0
  • Firstpage
    1044
  • Lastpage
    1047
  • Abstract
    This paper formulates the problem of packing a given set of different-sized circles into a smallest possible square box as a nonlinear programming problem and establishes the first order optimality conditions. The augmented Lagrangian method is applied to solve this problem and the computational experiments show its effectiveness
  • Keywords
    bin packing; nonlinear programming; augmented Lagrangian method; first order optimality conditions; nonlinear programming model; unequal circle packing; Containers; Glass industry; Lagrangian functions; Mathematical model; Mathematical programming; Mathematics; Paper products; Transportation; Warehousing; Wood industry; Nonlinear programming; augmented lagrangian method; first-order optimality conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
  • Conference_Location
    Dalian
  • Print_ISBN
    1-4244-0332-4
  • Type

    conf

  • DOI
    10.1109/WCICA.2006.1712504
  • Filename
    1712504
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1752560