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
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;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712504
