Publications de l'Institut Mathématique, Nouvelle Série Vol. 93(107), pp. 95–107 (2013) 

A NEW NONLINEAR MODEL FOR THE TWODIMENSIONAL RECTANGLE PACKING PROBLEMAleksandar Savi\c, Jozef Kratica, Vladimir FilipovicFaculty of Mathematics, University of Belgrade, Belgrade, Serbia; Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, SerbiaAbstract: This paper deals with the rectangle packing problem, of filling a big rectangle with smaller rectangles, while the rectangle dimensions are real numbers. A new nonlinear programming formulation is presented and the validity of the formulation is proved. In addition, two cases of the problem are presented, with and without rotation of smaller rectangles by $90^\circ$. The mixed integer piecewise linear formulation derived from the model is given, but with a simple form of the objective function. Keywords: nonlinear programming; piecewise linear relaxation Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 2 Apr 2013. This page was last modified: 8 Apr 2013.
© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
