The algorithm for integrating all incidence matrices in multi-dimensional group technology

Traditional group technology (GT) or cellular manufacturing is limited to two dimensions being part and machine. In a factory layout or a production process, the factors affecting GT are not only parts and machines, but also the operator, carrier, manager, etc. Reports are seldom written about multi-dimensional GT. In this research, a new algorithm to solve multi-dimensional GT problems is offered. The significance of this algorithm is to arrange all incidence matrices as a single incidence matrix that is symmetrical and can point out the sorted groups directly. A numerical example is demonstrated in this paper by using this new algorithm.