A Fast Algorithm to Generate Feasible Solution of Production Facilities Layout Based on Plane Segmentation

For facility layout problem with continuous block and unequal area, it is key to generate feasible solution of facility layout with arbitrary space form in order to find the optimal arrangement scheme under a given goal. According to the given slicing position and slicing mode, the plane for arrangement was divided into many block areas by use of plane segmentation, which was consistent with the facilities in number. The precise coordinates of the lower-left corner and the top-right corner of each facility were calculated in light of its area, width, and length. The corresponding algorithm was designed in the form of pseudocode. The procedure proposed can provide a feasible facility layout solution. The running results of facilities layout instance containing 14 facilities show that the scheme can output facilities plane layout scheme quickly and provide decision support for the facilities planning.