An eigenvector solution methodology for finding part-machine families
作者： A. VANNELLI , R. G. HALL
DOI: 10.1080/00207549308956728
关键词: Eigenvalues and eigenvectors 、 Cell size 、 Transportation theory 、 Group technology 、 Mathematics 、 Cellular manufacturing 、 Mathematical optimization
摘要: Abstract The problem of finding part-machine families for cellular manufacturing using efficient machine duplication and part subcontracting strategies is described. An eigenvector approach developed to find which allows management facility designers control over the number cells, cell size performance criteria by generating a variety designs. important feature this modelling procedure that it us estimate how far generated or are from best optimal cells strategies, respectively. Numerical results presented several known examples in group technology literature.
sci-hub.se 参考文章(24)
John L. Burbidge, The introduction of group technology ,(1975)
F. CHOOBINEH, A framework for the design of cellular manufacturing systems International Journal of Production Research. ,vol. 26, pp. 1161- 1172 ,(1988) , 10.1080/00207548808947932
CHARLES T. MOSIER, An experiment investigating the application of clustering procedures and similarity coefficients to the GT machine cell formation problem International Journal of Production Research. ,vol. 27, pp. 1811- 1835 ,(1989) , 10.1080/00207548908942656
URBAN WEMMERLÖV, NANCY L. HYER, Research issues in cellular manufacturing International Journal of Production Research. ,vol. 25, pp. 413- 431 ,(1987) , 10.1080/00207548708919850
K. RAVI KUMAR, ANTHONY VANNELLI, A method for finding minimal bottle-neck cells for grouping part-machine families† International Journal of Production Research. ,vol. 24, pp. 387- 400 ,(1986) , 10.1080/00207548608919736
Asoo J. Vakharia, Methods of Cell Formation in Group Technology: A Framework for Evaluation Journal of Operations Management. ,vol. 6, pp. 257- 271 ,(1986) , 10.1016/0272-6963(86)90002-1
W. E. Donath, A. J. Hoffman, Lower Bounds for the Partitioning of Graphs IBM Journal of Research and Development. ,vol. 17, pp. 420- 425 ,(1973) , 10.1147/RD.175.0420
Earl R. Barnes, An Algorithm for Partitioning the Nodes of a Graph Siam Journal on Algebraic and Discrete Methods. ,vol. 3, pp. 541- 550 ,(1982) , 10.1137/0603056
Avraham Shtub, Capacity allocation and material flow in planning group technology cells Engineering Costs and Production Economics. ,vol. 13, pp. 217- 228 ,(1988) , 10.1016/0167-188X(88)90008-0
J. R. KING, Machine-component grouping in production flow analysis: an approach using a rank order clustering algorithm International Journal of Production Research. ,vol. 18, pp. 213- 232 ,(1980) , 10.1080/00207548008919662