Research Article

A Genetic Algorithm with Lower Neighborhood Search for the Three-Dimensional Multiorder Open-Size Rectangular Packing Problem

Table 3

Description of the decision variables.

VariablesDescription

The length of the -th packing case
The width of the -th packing case
The height of the -th packing case
Coordinates of the x-axis position of the -th item in the -th order loaded into the packing box
Coordinates of the y-axis position of the -th item in the -th order loaded into the packing box
Coordinates of the z-axis position of the -th item in the -th order loaded into the packing box
, , , , , , , , 0-1 variables that determine the direction of rotation when the -th item in the th order is boxed
0-1 variable for designing nonoverlapping constraints between item and item in the -th order