Abstract
Group Technology (GT) is a useful tool in manufacturing systems. Cell formation (CF) is a part of a cellular manufacturing system that is the implementation of GT. It is used in designing cellular manufacturing systems using the similarities between parts in relation to machines so that it can identify part families and machine groups. Spectral clustering had been applied in CF, but, there are still several drawbacks to these spectral clustering approaches. One of them is how to get an optimal number of clusters/cells. To address this concern, we propose a spectral clustering algorithm for machine-part CF using minimum dissimilarities distance. Some experimental examples are used to illustrate its efficiency. In summary, the proposed algorithm has better efficiency to be used in CF with a wide variety of machine/part matrices.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Goldengorin, B., Krushinsky, D.: A computational study of the pseudo-boolean approach to the p-median problem applied to cell formation. In: Pahl, J., Reiners, T., Voß, S. (eds.) INOC 2011. LNCS, vol. 6701, pp. 503–516. Springer, Heidelberg (2011). doi:10.1007/978-3-642-21527-8_55
Goldengorin, B., Krushinsky, D., Pardalos, P.M.: Cell Formation in Industrial Engineering: Theory. Algorithms and Experiments. Springer, New York (2013)
Hakimi, S.L.: Optimum locations of switching centers and the absolute centers and medians of a graph. Oper. Res. 12, 450–459 (1964)
Harhalakis, G., Nagi, R., Proth, J.: An efficient heuristic in manufacturing cell formation for group technology applications. Int. J. Prod. Res. 28, 185–198 (1990)
Jain, A.K., Dubes, R.C.: Algorithms for Clustering Data. Prentice Hall, New Jersey (1988)
Kaufman, L., Rousseeuw, P.J.: Finding Groups in Data: An Introduction to Cluster Analysis. Wiley, New York (1990)
Krishnapuram, R., Keller, J.M.: A possibilistic approach to clustering. IEEE Trans. Fuzzy Syst. 1, 98–110 (1993)
Kumar, C.S., Chandrasekaran, M.P.: Grouping efficacy: a quantitative criterion for goodness of block diagonal forms of binary matrices in group technology. Int. J. Prod. Res. 28, 233–243 (1990)
Nascimento, M.C.V., de Carvalho, A.C.P.L.F.: Spectral methods for graph clustering-a survey. Eur. J. Oper. Res. 211, 221–231 (2011)
Newman, M.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E 74, 36–104 (2006)
Ng, A.Y., Jordan, M.I., Weiss, Y.: On spectral clustering: analysis and an algorithm. In: Advances in Neural Information Processing Systems (2001)
Oliveira, S., Ribeiro, J.F.F., Seok, S.C.: A spectral clustering algorithm for manufacturing cell formation. Comput. Ind. Eng. 57, 1008–1014 (2009)
Pollard, D.: Quantization and the method of k-means. IEEE Trans. Inf. Theor. 28, 199–205 (1982)
Sahin, Y.B., Alpay, S.: A metaheuristic approach for a cubic cell formation problem. Expert Syst. Appl. 65, 40–51 (2016)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22, 888–905 (2000)
Singh, N., Rajamani, D.: Cellular Manufacturing Systems. Chapman & Hall, New York (1996)
von Luxburg, U.: A tutorial on spectral clustering. Stat. Comput. 17, 395–416 (2007)
Wei, J.C., Kern, G.M.: Commonality analysis: a linear cell clustering algorithm for group technology. Int. J. Prod. Res. 27(12), 2053–2062 (1989)
Wu, K.L., Yang, M.S.: Mean shift-based clustering. Pattern Recogn. 40, 3035–3052 (2007)
Xambre, A.R., Vilarinho, P.M.: A simulated annealing approach for manufacturing cell formation with multiple identical machines. Eur. J. Oper. Res. 151, 434–446 (2003)
Yang, M.S.: A survey of fuzzy clustering. Math. Comput. Model. 18, 1–16 (1993)
Yang, M.S., Hung, W.L., Cheng, F.C.: Mixed-variable fuzzy clustering approach to part family and machine cell formation for GT applications. Int. J. Prod. Econ. 103, 185–198 (2006)
Yang, M.S., Yang, J.H.: Machine-part cell formation in group technology using a modified ART1 method. Eur. J. Oper. Res. 188, 140–152 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Nataliani, Y., Yang, MS. (2017). Spectral Clustering for Cell Formation with Minimum Dissimilarities Distance. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2017. Lecture Notes in Computer Science(), vol 10246. Springer, Cham. https://doi.org/10.1007/978-3-319-59060-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-59060-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59059-2
Online ISBN: 978-3-319-59060-8
eBook Packages: Computer ScienceComputer Science (R0)