Abstract
Cellular manufacturing is an important application of the Group Technology that has been used in several real-world applications such as the electronics industry, offices, structural fabrication, service industries, and hospitals. The manufacturing cell formation problem is considered the first issue faced in designing cellular manufacturing systems in order to overcome difficulties related to multi-product and batch-production systems. The aim is to minimize the inter-cell movements of the parts and maximize the use of the machines. In this paper, a new approach based on the clonal selection algorithm is proposed for solving the problem where the number of cells is not fixed a priori. The approach integrates a local search mechanism to intensify the search of the solutions. To evaluate the effectiveness of the proposed algorithm, a set of 40 benchmark problems is used; the results are then compared to other methods recently developed. The results show that the proposed algorithm performs very well on all test problems since it can reach the best-known solution of 39 benchmark problems (97.5%).
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References
Wemmerlov U, Hyer NL (1986) Procedures for the part family/machine group identification problem in cellular manufacturing. J Oper Manag 6:125–147
Wemmerlov U, Hyer NL (1989) Cellular manufacturing in the US industry: a survey of users. Int J Prod Res 27:1511–1530
Dinis-Carvalho J, Alves AC, Sousa RM (2014) Moving from job-shop to production cells without losing flexibility: a case study from the wooden frames industry. S Afr J Ind Eng 25:212–225
Hung K-T, Maleki H (2014) Applying group technology to the forging industry. Prod Plan Control Manag Oper 25:134–148
Johnson DJ, Wemmerlv U (2004) Why does cell implementation stop? Factors influencing cell penetration in manufacturing plants. Prod Oper Manag 13:272–289
Pattanaik LN, Sharma BP (2008) Implementing lean manufacturing with cellular layout: a case study. Int J Adv Manuf Technol 42:772–779
Shayan E, Sobhanallahi A (2002) Productivity gains by cellular manufacturing. Prod Plan Control 13:507–516
Levasseur GA, Helms MM, Zink AA (1995) A conversion from a functional to a cellular manufacturing layout at Steward, Inc. Prod Invent Manag J 36:37–42
Landsbergis PA, Cahill J, Schnall P (1999) The impact of lean production and related new systems of work organization on worker health. J Occup Health Psychol 4:108–130
Dimopoulos C, Zalzala AM (2000) Recent developments in evolutionary computation for manufacturing optimization: problems, solutions, and comparisons. IEEE Trans Evolut Comput 4:93–113
Goncalves J, Resende M (2004) An evolutionary algorithm for manufacturing cell formation. Comput Ind Eng 47:247–273
James TL, Brown EC, Keeling KB (2007) A hybrid grouping genetic algorithm for the cell formation problem. Comput Oper Res 34:2059–2079
Diaz JA, Luna D, Luna R (2012) A GRASP heuristic for the manufacturing cell. Top 20:679–706
Solimanpur M, Elmi A (2013) A tabu search approach for cell scheduling problem with makespan criterion. Int J Prod Econ 141:639–645
Husseinzadeh Kashan A, Karimi B, Noktehdan A (2014) A novel discrete particle swarm optimization algorithm for the manufacturing cell formation problem. Int J Adv Manuf Technol 73:1543–1556
Ying KC, Lin SW, Lu CC (2011) Cell formation using a simulated annealing algorithm with variable neighbourhood. Eur J Ind Eng 5:22–42
Elbenani B, Ferland JA, Bellemare J (2012) Genetic algorithm and large neighbourhood search to solve the cell formation problem. Expert Syst Appl 39:2408–2414
Noktehdan A, Seyedhosseini S, Saidi-Mehrabad M (2015) A metaheuristic algorithm for the manufacturing cell formation problem based on grouping efficacy. Int J Adv Manuf Technol 82:25–37. doi:10.1007/s00170-015-7052-z
Karoum B, Elbenani B, El Imrani AA (2016) Clonal selection algorithm for the cell formation problem. In: El Oualkadi A et al (eds) Proceedings of the Mediterranean conference on information and communication technologies 2015, Lecture Notes in Electrical Engineering, vol 380, pp 319–326
Kumar CS, Chandrasekharan MP (1990) Grouping efficacy: a quantitative criterion for goodness of block diagonal forms of binary matrices in group technology. Int J Prod Res 28:233–243
De Castro LN, Von Zuben FJ (2002) Learning and optimization using the clonal selection principle. IEEE Trans Evolut Comput 6:239–251
Brown EC, Sumichrast RT (2001) CF-GGA: a grouping genetic algorithm for the cell formation problem. Int J Prod Res 39:3651–3669
King JR, Nakornchai V (1982) Machine-component group formation in group technology: review and extension. Int J Prod Res 20:117–133
Waghodekar PH, Sahu S (1984) Machine-component cell formation in group technology: MACE. Int J Prod Res 22:937–948
Seifoddini H (1989) A note on the similarity coefficient method and the problem of improper machine assignment in group technology applications. Int J Prod Res 27:1161–1165
Kusiak A, Cho M (1992) Similarity coefficient algorithms for solving the group technology problem. J Manuf Syst 30:2633–2646
Kusiak A, Chow WS (1987) Efficient solving of the group technology problem. J Manuf Syst 6:117–124
Boctor FF (1991) A linear formulation of the machine-part cell formation problem. Int J Prod Res 29:343–356
Seifoddini H, Wolfe PM (1986) Application of the similarity coefficient method in group technology. IIE Trans 18:271–277
Chandrasekharan MP, Rajagopalan R (1986) MODROC: an extension of rank order clustering for group technology. Int J Prod Res 24:1221–1233
Chandrasekharan MP, Rajagopalan R (1986) An ideal seed non-hierarchical clustering algorithm for cellular manufacturing. Int J Prod Res 24:451–463
Mosier C, Taube L (1985) The facets of group technology and their impacts on implementation—a state-of-the-art survey. Omega 13:381–391
Chan HM, Milner DA (1982) Direct clustering algorithm for group formation in cellular manufacture. J Manuf Syst 1:65–75
Asktn RG, Subramantan SP (1987) A cost-based heuristic for group technology configuration. Int J Prod Res 25:101–113
Stanfel LE (1985) Machine clustering for economic production. Eng Costs Prod Econ 9:73–81
McCormick WT (1972) Problem decomposition and data reorganization by a clustering technique. Oper Res 20:993–1009
Srinivasan G, Narendran TT, Mahadevan B (1990) An assignment model for the part-families problem in group technology. Int J Prod Res 28:145–152
King JR (1980) Machine-component grouping in production flow analysis: an approach using a rank order clustering algorithm. Int J Prod Res 18:213–232
Carrie AS (1973) Numerical taxonomy applied to group technology and plant layout. Int J Prod Res 11:399–416
Mosier C, Taube L (1985) Weighted similarity measure heuristics for the group technology machine clustering problem. Omega 13:577–579
Kumar KR, Kusiak A, Vannelli A (1986) Grouping of parts and components in flexible manufacturing systems. Eur J Oper Res 24:387–397
Boe WJ, Cheng CH (1991) A close neighbour algorithm for designing cellular manufacturing systems. Int J Prod Res 29:2097–2116
Chandrasekharan MP, Rajagopalan R (1989) GROUPABIL1TY: an analysis of the properties of binary data matrices for group technology. Int J Prod Res 27:1035–1052
Kumar KR, Vannelli A (1987) Strategic subcontracting for efficient disaggregated manufacturing. Int J Prod Res 25:1715–1728
Chandrasekharan MP, Rajagopalan R (1987) ZODIAC—an algorithm for concurrent formation of part-families and machine-cells. Int J Prod Res 25:835–850
Noktehdan A, Karimi B, Husseinzadeh KA (2010) A differential evolution algorithm for the manufacturing cell formation problem using group based operators. Expert Syst Appl 37:4822–4829
Thanh LT, Ferland JA, Elbenani B, Dinh Thuc N, Hien Nguyen V (2015) A computational study of hybrid approaches of metaheuristic algorithms for the cell formation problem. J Oper Res Soc 67:20–36
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Karoum, B., Elbenani, B. A hybrid clonal algorithm for the cell formation problem with variant number of cells. Prod. Eng. Res. Devel. 11, 19–28 (2017). https://doi.org/10.1007/s11740-016-0706-3
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DOI: https://doi.org/10.1007/s11740-016-0706-3