Developing a mathematical model for cell formation in cellular manufacturing systems

International Journal of Operational Research

Volumn 11, Issue 4, 2011, Pages 408-424

  Paydar, Mohammad Mahdi ^a   Mahdavi, Iraj ^a   Khonakdari, Samaneh Valipoor ^b   Solimanpur, Maghsud ^c  

^a DEPARTMENT OF INDUSTRIAL ENGINEERING   (Iran)

^b UNIVERSITY OF MAZANDARAN   (Iran)

^c URMIA UNIVERSITY   (Iran)

Author keywords

Cell formation; Exceptional elements; Grouping efficacy; Voids

Indexed keywords

EID: 80051517379     PISSN: 17457645     EISSN: 17457653     Source Type: Journal    
DOI: 10.1504/IJOR.2011.041800     Document Type: Article

References (44)

1. Adil, G.K., Ragamani, D. and Strong, D. (1993) 'A mathematical model for cell formation considering investment and operational costs', European Journal of Operational Research, Vol. 69, pp.330-341.
2. Albadawi, Z., Bashir, H.A. and Chen, M. (2005) 'A mathematical approach for the formation of manufacturing cells', Computers and Industrial Engineering, Vol. 48, pp.3-21. (Pubitemid 40003186)
3. Boctor, F.F. (1991) 'A linear formulation of the machine-part cell formation problem', Int. J. Production Research, Vol. 29, No. 2, pp.343-356.
4. Burbidge, J.L. (1977) 'A manual method for production flow analysis', Production Engineer, Vol. 56, pp.34-38.
5. Burbidge, J.L. (1989) Production Flow Analysis. Oxford: Clarendon Press.
6. Chandrasekharan, M.P. and Rajagopalan, R. (1986a) 'An ideal seed nonhierarchical clustering algorithm for cellular manufacturing', Int. J. Production Research, Vol. 24, pp.451-464.
7. Chandrasekharan, M.P. and Rajagopalan, R. (1986b) 'MODROC: an extension of rank order clustering for group technology', Int. J. Production Research, Vol. 24, No. 5, pp.1221-1264.
8. Chandrasekharan, M.P. and Rajagopalan, R. (1987) 'ZODIAC - an algorithm for concurrent formation of part-families and machine-cells', Int. J. Production Research, Vol. 25, pp.835-850. (Pubitemid 17598496)
9. Chen, S.J. and Cheng, C.S. (1995) 'A neural network based cell formation algorithm in cellular manufacturing', Int. J. Production Research, Vol. 33, No. 2, pp.293-318.
10. Cheng, C., Gupta, Y., Lee, W. and Wong, K. (1998) 'A TSP-based heuristic for forming machine groups and part families', Int. J. Production Research, Vol. 36, pp.1325-1337. (Pubitemid 128553201)
11. Chu, C.H. and Tsai, M. (1990) 'A comparison of three array-based clustering techniques for manufacturing cell formation', Int. J. Production Research, Vol. 28, No. 8, pp.1417-1433. (Pubitemid 20711261)
12. Collet, S. and Spicer, R. (1995) 'Improving productivity through cellular manufacturing', Production and Inventory Management Journal, Vol. 36, No. 1, pp.71-75.
13. Goncalves, J. and Resende, M. (2004) 'An evolutionary algorithm for manufacturing cell formation', Computers and Industrial Engineering, Vol. 47, pp.247-273.
14. Hyer, N. (1984) 'The potential of group technology for US manufacturing', Journal of Operations Management, Vol. 4, No. 3, pp.183-202.
15. Hyer, N. and Wemmerlov, U. (1984) 'Group technology and productivity', Harvard Business Review, Vol. 62, No. 4, July-August, pp.140-149.
16. Keeling, K.B., Brown, E.C. and James, T.L. (2007) 'Grouping efficiency measures and their impact on factory measures for the machine-part cell formation problem: a simulation study', Engineering Applications of Artificial Intelligence, Vol. 20, pp.63-78. (Pubitemid 44692466)
17. Kumar, C. and Chandrasekharan, M. (1990) 'Grouping efficacy: a quantitative criterion for goodness of block diagonal forms of binary matrices in group technology', Int. J. Production Research, Vol. 28, pp.233-243.
18. Kusiak, A. (1987) 'The generalized group technology concept', Int. J. Production Research, Vol. 25, No. 4, pp.561-569.
19. Kusiak, A. and Chow, W.S. (1987) 'Efficient solving of the group technology problem', Journal of Manufacturing Systems, Vol. 6, No. 2, pp.117-124. (Pubitemid 17615712)
20. Lozano, S., Adenso-Diaz, B., Eguia, I. and Onieva, L. (1999) 'A one-step tabu search algorithm for manufacturing cell design', Journal of the Operational Research Society, Vol. 50, pp.509-516.
21. Mahdavi, I., Javadi, B., Fallah-Alipour, K. and Slomp, J. (2007) 'Designing a new mathematical model for cellular manufacturing system based on cell utilization', Applied Mathematics and Computation, Vol. 190, pp.662-670. (Pubitemid 46856695)
22. Mahdavi, I., Kaushal, O.P. and Chandra, M. (2001) 'Graph-neural network approach in cellular manufacturing on the basis of a binary system', Int. J. Production Research, Vol. 39, No. 13, pp.2913-2922. (Pubitemid 35165551)
23. Mahdavi, I., Paydar, M.M., Solimanpur, M. and Heidarzade, A. (2009) 'Genetic algorithm approach for solving a cell formation problem in cellular manufacturing', Expert Systems with Applications, Vol. 36, pp.6598-6604.
24. Majeed Ali, A.A. and Vrat, P. (1999) 'Manufacturing cell formation: a neural network approach', Proceedings of the International Conference on Operations Management for Global Economy Challenges and Prospects, Indian Institute of Technology, New Delhi, India, pp.565-571.
25. Mcauley, J. (1972) 'Machine grouping for efficient production', Production Engineer, Vol. 51, pp.53-57.
26. Mosier, C.T. and Taube, L. (1985) 'The facets of group technology and their impact on implementation', OMEGA, Vol. 13, No. 5, pp.381-391.
27. Mukattash, A.M., Abbasi, G.Y., Tahboub, K.K. and Adil, M.B. (2007) 'A modified revised P-median approach to cell formation', Int. J. Industrial and Systems Engineering, Vol. 2, No. 1, pp.51-60. (Pubitemid 46739162)
28. Onwubolu, G.C. and Mutingi, M. (2001) 'A genetic algorithm approach to cellular manufacturing systems', Computers and Industrial Engineering, Vol. 39, pp.125-144. (Pubitemid 32263385)
29. Purcheck, G.F.K. (1975) 'A linear programming method for the combinatorial grouping of an incomplete power set', Journal of Cybernetics, Vol. 5, pp.51-76.
30. Ravichandran, K.S. and Rao, K.C.S. (2001) 'A new approach to fuzzy part-family formation in cellular manufacturing system', The International Journal of Advanced Manufacturing Technology, Vol. 18, pp.591-597. (Pubitemid 33074065)
31. Ronald, B.H. (1997) 'Forming minimum-cost machine cells with exceptional parts using zero-one integer programming', Journal of Manufacturing Systems, Vol. 16, No. 2, pp.79-90.
32. Sarker, B. and Mondal, S. (1999) 'Grouping efficiency measures in cellular manufacturing: a survey and critical review', Int. J. Production Research, Vol. 37, pp.285-314.
33. Seifoddini, H. (1989a) 'Single linkage V/S average linkage clustering in machine cells formation applications', Computers and Industrial Engineering, Vol. 16, pp.419-426. (Pubitemid 20623028)
34. Seifoddini, H. (1989b) 'A note on the similarity coefficient method and the problem of improper machine assignment in group technology applications', Int. J. Production Research, Vol. 27, No. 7, pp.1161-1165.
35. Seifoddini, H. and Djassemi, M. (1996) 'The threshold value of a quality index for formation of cellular manufacturing systems', Int. J. Production Research, Vol. 34, pp.3401-3416. (Pubitemid 126530377)
36. Sofianopoulou, S. (1997) 'Application of simulated annealing to a linear model for the formation of machine cells in group technology', Int. J. Production Research, Vol. 35, pp.501-511. (Pubitemid 127564060)
37. Soleymanpour, M., Vrat, P. and Shanker, R. (2002) 'A transiently chaotic neural network approach to the design of cellular manufacturing', Int. J. Production Research, Vol. 40, No. 10, pp.2225-2244. (Pubitemid 34807750)
38. Srinivasan, G. and Narendran, T.T. (1991) 'GRAFICS - a non hierarchical clustering algorithm for group technology', Int. J. Production Research, Vol. 29, pp.463-478.
39. Stanfel, L. (1985) 'Machine clustering for economic production', Engineering Costs and Production Economics, Vol. 9, pp.73-81.
40. Waghodeker, P.H. and Sahu, S. (1984) 'Machine-component cell formation in group technology MACE', Int. J. Production Research, Vol. 22, pp.937-948. (Pubitemid 15474164)
41. Wang, J. (2003) 'Formation of machine cells and part families in cellular manufacturing systems using a linear assignment algorithm', Automatica, Vol. 39, No. 9, pp.1607-1615.
42. Wu, T., Low, C. and Wu, W. (2004) 'A tabu search approach to the cell formation problem', Int. J. Advanced Manufacturing Technology, Vol. 23, pp.916-924.
43. Wu, T.H., Chang, C.C. and Chung, S.H. (2008) 'A simulated annealing algorithm for manufacturing cell formation problems', Expert Systems with Applications, Vol. 34, pp.1609-1617.
44. Zolfaghari, S. and Liang, M. (1997) 'An objective-guided ortho-synapse Hopfield network approach to machine grouping problems', Int. J. Production Research, Vol. 35, No. 10, pp.2773-2792. (Pubitemid 127564042)