Manufacturing cell formation using similarity coefficients and a parallel genetic TSP algorithm: Formulation and comparison

Many algorithms have been proposed to form manufacturing cells from component routings. However, many of these do not have the capability of solving large problems. We propose a procedure using similarity coefficients and a parallel genetic implementation of a TSP algorithm that is capable of solving large problems of up to 1000 parts and 1000 machines. In addition, we also compare our procedure with many existing procedures using nine well-known problems from the literature. The results show that the proposed procedure compares well with the existing procedures and should be useful to practitioners and researchers.

[1]  Paul J. Schweitzer,et al.  Problem Decomposition and Data Reorganization by a Clustering Technique , 1972, Oper. Res..

[2]  K. Hoffman,et al.  Large-scale 0–1 linear programming on distributed workstations , 1990 .

[3]  J. Miltenburg,et al.  A comparative evaluation of nine well-known algorithms for solving the cell formation problem in group technology , 1991 .

[4]  Allan S. Carrie,et al.  Numerical taxonomy applied to group technology and plant layout , 1973 .

[5]  John L. Burbidge,et al.  The introduction of group technology , 1975 .

[6]  Nancy Lea Hyer,et al.  Cellular manufacturing in the U.S. industry: a survey of users , 1989 .

[7]  Nallan C. Suresh,et al.  Achieving factory automation through Group Technology principles , 1985 .

[8]  John McAuley,et al.  Machine grouping for efficient production , 1972 .

[9]  David S. Johnson,et al.  Computers and In stractability: A Guide to the Theory of NP-Completeness. W. H Freeman, San Fran , 1979 .

[10]  John J. Grefenstette,et al.  Genetic Algorithms for the Traveling Salesman Problem , 1985, ICGA.

[11]  A. Vakharia,et al.  Cell formation in group technology: A combinatorial search approach , 1997 .

[12]  Ronald G. Askin,et al.  A Hamiltonian path approach to reordering the part-machine matrix for cellular manufacturing , 1991 .

[13]  Dirk Van Gucht,et al.  Parallelisation of Probabilistic Sequential Search Algorithms , 1987, ICGA.

[14]  Nancy Lea Hyer,et al.  Procedures for the part family/machine group identification problem in cellular manufacturing , 1986 .

[15]  F. Boctor A Jinear formulation of the machine-part cell formation problem , 1991 .

[16]  J. King,et al.  Machine-component group formation in group technology: review and extension , 1982 .

[17]  N. Suresh,et al.  Machine-component cell formation in group technology : a neural network approach , 1992 .

[18]  D. A. Milner,et al.  Direct clustering algorithm for group formation in cellular manufacture , 1982 .

[19]  C. Mosier An experiment investigating the application of clustering procedures and similarity coefficients to the GT machine cell formation problem , 1989 .

[20]  Eugene L. Lawler,et al.  A Guided Tour of Combinatorial Optimization , 1985 .

[21]  Jack R. Meredith,et al.  A comparison of selected manufacturing cell formation techniques , 1990 .

[22]  Anthony Vannelli,et al.  Strategic subcontracting for efficient disaggregated manufacturing , 1986 .

[23]  F. Robert Jacobs,et al.  Applications and Implementation: AN EXPERIMENTAL COMPARISON OF CELLULAR (GROUP TECHNOLOGY) LAYOUT WITH PROCESS LAYOUT , 1987 .

[24]  Shen Lin Computer solutions of the traveling salesman problem , 1965 .

[25]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[26]  Jerry C. Wei,et al.  An Optimal Model for Cell Formation Decisions , 1990 .

[27]  J. King Machine-component grouping in production flow analysis: an approach using a rank order clustering algorithm , 1980 .

[28]  J. Witte The use of similarity coefficients in production flow analysis , 1980 .

[29]  Chao-Hsien Chu Cluster analysis in manufacturing cellular formation , 1989 .

[30]  Dirk Van Gucht,et al.  Parallel Genetic Algorithms Applied to the Traveling Salesman Problem , 1991, SIAM J. Optim..

[31]  Larry E. Stanfel,et al.  Machine clustering for economic production , 1985 .

[32]  M. Chandrasekharan,et al.  MODROC: an extension of rank order clustering for group technology , 1986 .

[33]  M. Chandrasekharan,et al.  An ideal seed non-hierarchical clustering algorithm for cellular manufacturing , 1986 .

[34]  Ronald G. Askin,et al.  A graph partitioning procedure for machine assignment and cell formation in group technology , 1990 .