Baltzer Journals Manufacturing Cell Formation by State-Space Search

This paper addresses the problem of grouping machines in order to design cellular manufacturing cells, with an objective to minimize inter-cell ow. This problem is related to one of the major aims of group technology (GT): to decompose the manufacturing system into manufacturing cells that are as independent as possible. This problem is NP-hard. Thus, nonheuristic methods cannot address problems of typical industrial dimensions because they would require exorbitant amounts of computing time, while fast heuristic methods may su er from poor solution quality. We present a branch-and-bound state-space search algorithm that attempts to overcome both these de ciencies. One of the major strengths of this algorithm is its e cient branching and search strategy. In addition, the algorithm employs the fast Inter-Cell Tra c Minimization Method to provide good upper bounds, and computes lower bounds based on a relaxation of merging.