This paper considers machine-component cell formation problem of cellular manufacturing system. Since this problem comes under combinatorial category, development of a meta-heuristic is a must. In this paper, a hybrid genetic algorithm is presented. Normally, in genetic algorithm, the initial population is generated by random assignment of genes in each of the chromosomes. In this paper, the initial population is created using ideal seed heuristic. The proposed algorithm is compared with four other algorithms using 28 problems from literature. Through a completed factorial experiment, it is observed that the proposed algorithm outperforms the other algorithms in terms of grouping efficiency as well as grouping efficacy.
Mahdavi, I., Paydar, M.M., Solimanpur, M. and Saidi-Mehrabad, M. (2010) A Mathematical Model for Integrating Cell Formation Problem with Machine Layout. International Journal of Industrial Engineering & Production Research, 21, 61-70.
Khaksar-Haghani, F., Kia, R., Javadian, N., Tavakkoli-Moghaddam, R. and Baboli, A. (2011) A Comprehensive Mathematical Model for the Design of a Dynamic Cellular Manufacturing System Integrated with Production Planning and Several Manufacturing Attributes. International Journal of Industrial Engineering & Production Research, 22, 199-212.
Arkat, J., Naseri, F. and Ahmadizar, F. (2011) A Stochastic Model for the Generalized Cell Formation Problem Considering Machine Reliability. International Journal of Computer Integrated Manufacturing, 24, 1095-1102.http://dx.doi.org/10.1080/0951192X.2011.627944
Saeedi, S., Solimanpur, M., Mahdavi, I. and Javadian, N. (2010) Heuristic Approaches for Cell Formation in Cellular Manufacturing. Journal of Software Engineering & Applications, 3, 674-682. http://dx.doi.org/10.4236/jsea.2010.37077
Banerjee, I. and Das, P. (2012) Group Technology Based Adaptive Cell Formation Using Predator-Prey Genetic Algorithm. Applied Soft Computing, 12, 559-572. http://dx.doi.org/10.1016/j.asoc.2011.07.021
Arkat. J., Hosseini, L. and Farahani, M.H. (2011) Minimization of Exceptional Elements and Voids in the Cell Formation Problem Using a Multi-Objective Genetic Algorithm. Expert System with Applications, 38, 9597-9602.http://dx.doi.org/10.1016/j.eswa.2011.01.161
Yin, X.F. and Khoo, L.P. (2011) An Exact Schema Theorem for Adaptive Genetic Algorithm and Its Application to Machine Cell Formation. Expert Systems with Applications, 38, 8538-8552. http://dx.doi.org/10.1016/j.eswa.2011.01.055
Ozcelik, F. and Sarac, T. (2012) A Genetic Algorithm Extended Modified Sub-Gradient Algorithm for Cell Formation Problem with Alternative Routings. International Journal of Production Research, 50, 4025-4037.http://dx.doi.org/10.1080/00207543.2011.588264
Saraç, T. and Ozcelik, F. (2012) A Genetic Algorithm with Proper Parameters for Manufacturing Cell Formation Problems. Journal of Intelligent Manufacturing, 23, 1047-1061. http://dx.doi.org/10.1007/s10845-010-0446-8
Wu, T.-H., Chang, C.-C. and Yeh, J.-Y. (2009) A Hybrid Heuristic Algorithm Adopting both Boltzmann Function and Mutation Operator for Manufacturing Cell Formation Problems. International Journal of Production Economics, 120, 669-688. http://dx.doi.org/10.1016/j.ijpe.2009.04.015
Lin, S.W., Ying, K.C. and Lee, Z.J. (2010) Part-Machine Cell Formation in Group Technology Using a Simulated Annealing-Based Meta-Heuristic. International Journal of Production Research, 48, 3579-3591. http://dx.doi.org/10.1080/00207540902896212
Paydar, M.M., Mahdavi, I., Sharafuddin, I. and Solimanpur, M. (2010) Applying Simulated Annealing for Designing Cellular Manufacturing Systems Using MDmTSP. Computers & Industrial Engineering, 59, 929-936. http://dx.doi.org/10.1016/j.cie.2010.09.003
Kia, R., Baboli, A., Javadian, N., Tavakkoli-Moghaddam, R., Kazemi, M. and Khorrami, J. (2012) Solving a Group Layout Design Model of a Dynamic Cellular Manufacturing System with Alternative Process Routings, Lot Splitting and Flexible Reconfiguration by Simulated Annealing. Computers & Operations Research, 39, 2642-2658. http://dx.doi.org/10.1016/j.cor.2012.01.012
Rezaeian, J., Javadian, N., Tavakkoli-Moghaddam, R. and Jolai, F. (2011) A Hybrid Approach Based on the Genetic Algorithm and Neural Network to Design an Incremental Cellular Manufacturing System. Applied Soft Computing, 11, 4195-4202. http://dx.doi.org/10.1016/j.asoc.2011.03.013
Ghezavati, V.R. and Saidi-Mehrabad, M. (2011) An Efficient Hybrid Self-Learning Method for Stochastic Cellular Manufacturing Problem: A Queuing-Based Analysis. Expert Systems with Applications, 38, 1326-1335. http://dx.doi.org/10.1016/j.eswa.2010.07.012
Elbenani, B. and Ferland, J.A. (2012) An Exact Method for Solving the Manufacturing Cell Formation Problem. International Journal of Production Research, 50, 4038-4045. http://dx.doi.org/10.1080/00207543.2011.588622
Rafiei, H. and Ghodsi, R. (2013) A Bi-Objective Mathematical Model toward Dynamic Cell Formation Considering Labor Utilization. Applied Mathematical Modelling, 37, 2308-2316. http://dx.doi.org/10.1016/j.apm.2012.05.015
Paydar, M.M. and Saidi-Mehrabad, M. (2013) A Hybrid Genetic-Variable Neighborhood Search for the Cell Formation Problem Based on Group Efficiency. Computers & Operations Research, 40, 980-990. http://dx.doi.org/10.1016/j.cor.2012.10.016
Dalfard, V.M. (2013) New Mathematical Model for Problem of Dynamic Cell Formation Based on Number and Average Length of Intra and Intercellular Movements. Applied Mathematical Modelling, 37, 1884-1896. http://dx.doi.org/10.1016/j.apm.2012.04.034
Srinivasan, G. and Narendran, T.T. (1991) GRAFICS—A Nonhierarchical Clustering-Algorithm for Group Technology. International Journal of Production Research, 29, 463-478. http://dx.doi.org/10.1080/00207549108930083
Srinivasan, G. (1994) A Clustering Algorithm for Machine Cell Formation in Group Technology Using Minimum Spanning Trees. International Journal of Production Research, 32, 2149-2158. http://dx.doi.org/10.1080/00207549408957064
Miltenburg, J. and Zhang, W. (1991) A Comparative Evaluation of Nine Well-Known Algorithms for Solving the Cell Formation Problem in Group Technology. Journal of Operations Management, 10, 44-72. http://dx.doi.org/10.1016/0272-6963(91)90035-V
Kao, Y. and Li, Y.L. (2008) Ant Colony Recognition Systems for Part Clustering Problems. International Journal of Production Research, 46, 4237-4258. http://dx.doi.org/10.1080/00207540601078054
Nambirajan, T. and Panneerselvam, R. (1999) Machine-Component Cell Design Using Simulated Annealing. International Journal of Management and Systems, 15, 185-208.
Holland, J.H. (1975) Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor.
Venugopal, V. and Narendran, T.T. (1992) A Genetic Algorithm Approach to the Machine-Component Grouping Problem with Multiple Objectives. Computers & Industrial Engineering, 22, 469-480. http://dx.doi.org/10.1016/0360-8352(92)90022-C
Balakrishnan, J. and Jog, P.D. (1995) Manufacturing Cell Formation Using Similarity Coefficients and a Parallel Genetic TSP Algorithm: Formulation and Comparison. Mathematical and Computer Modelling, 21, 61-73. http://dx.doi.org/10.1016/0895-7177(95)00092-G
Joines, A.J., Culbreth, C.T. and King, E.R. (1996) Manufacturing Cell Design: An Integer Programming Model Employing Genetic Algorithms. IIE Transactions, 28, 69-85. http://dx.doi.org/10.1080/07408179608966253
Su, C.T. and Hsu, C.M. (1998) Manufacturing Cell Formation Using Genetic Algorithm vs. Neural Networks. Journal of the Chinese Institute of Industrial Engineers, 15, 127-139. http://dx.doi.org/10.1080/10170669.1998.10432953
Mahdavi, I., Paydar, M.M., Solimanour, M. and Heidarzade, A. (2009) Genetic Algorithm Approach for Solving a Cell Formation Problem in Cellular Manufacturing. Expert Systems with Applications, 36, 6598-6604. http://dx.doi.org/10.1016/j.eswa.2008.07.054
James, T.L., Brown, E.C. and Keeling, K.B. (2007) A Hybrid Grouping Algorithm for the Cell Formation Problem. Computers & Operations Research, 34, 2059-2079. http://dx.doi.org/10.1016/j.cor.2005.08.010
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, 20, 63-78. http://dx.doi.org/10.1016/j.engappai.2006.04.001
Tunnukij, T. and Hicks, C. (2009) An Enhanced Grouping Genetic Algorithm for Solving the Cell Formation Problem. International Journal of Production Research, 47, 1989-2007. http://dx.doi.org/10.1080/00207540701673457
Tariq, A., Hussain, I. and Ghafoor, A. (2009) A Hybrid Genetic Algorithm for Machine-Part Grouping. Computers & Industrial Engineering, 56, 347-356. http://dx.doi.org/10.1016/j.cie.2008.06.007
Pailla, A., Trinbade, A.R., Parada, V. and Ochi, L.S. (2010) A Numerical Comparison between Simulated Annealing and Evolutionary Approaches to the Cell Formation Problem. Expert Systems with Applications, 37, 5476-5483. http://dx.doi.org/10.1016/j.eswa.2010.02.064
Vin, E. and Delchambre, A. (2014) Generalized Cell Formation: Iterative versus Simultaneous Resolution with Grouping Genetic Algorithm. Journal of Intelligent Manufacturing, 25, 1113-1124. http://dx.doi.org/10.1007/s10845-013-0749-7
Li, J., Wang, A. and Tang, C. (2014) Production Planning in Virtual Cell of Reconfiguration Manufacturing System Using Genetic Algorithm. International Journal of Advanced Manufacturing Technology, 74, 47-64. http://dx.doi.org/10.1007/s00170-014-5987-0
Deep, K. and Singh, P.K. (2015) Design of Robust Cellular Manufacturing System for Dynamic Part Population Considering Multiple Processing Routes Using Genetic Algorithm. Journal of Manufacturing Systems, 35, 155-163. http://dx.doi.org/10.1016/j.jmsy.2014.09.008
Chandrasekharan, M.P. and Rajagopalan, R. (1986) An Ideal Seed Non-Hierarchical Clustering Algorithm for Cellular Manufacturing. International Journal of Production Research, 24, 451-464. http://dx.doi.org/10.1080/00207548608919741
Chandrasekharan, M.P. and Rajagopalan, R. (1986) MODROC: An Extension of Rank Order Clustering for Group Technology. International Journal of Production Research, 24, 1221-1233. http://dx.doi.org/10.1080/00207548608919798
Kumar, C.S. and Chandrasekharan, M.P. (1990) Grouping Efficacy: A Quantitative Criterion for Goodness of Block Diagonal Forms of Binary Matrices in Group Technology. International Journal of Production Research, 28, 233-243. http://dx.doi.org/10.1080/00207549008942706
Chandrasekharan, M.P. and Rajagopalan, R. (1987) ZODIAC—An Algorithm for Concurrent Formation of Part Families and Machine Cells. International Journal of Production Research, 25, 835-850. http://dx.doi.org/10.1080/00207548708919880
Nambirajan, T. and Panneerselvam, R. (1995) Nonhierarchical Clustering of Machine-Component Cells Using Seeds from an Efficient Seed Generation Algorithm. Industrial Engineering Journal, 24(11), 10-16 & 24(12), 1-17.
King, J.R. and Nakornchai, V. (1982) Machine-Component Group Formation in Group Technology: Review and Extension. International Journal of Production Research, 20, 117-133. http://dx.doi.org/10.1080/00207548208947754
Waghodekar, P.H. and Sahu, S. (1984) Machine-Component Cell Formation in Group Technology: MACE. International Journal of Production Research, 22, 937-948. http://dx.doi.org/10.1080/00207548408942513
Nambirajan, T. (1998) Machine-Component Cell Design Using Simulated Annealing with an Efficient Seed Generation Algorithm. Ph.D. Dissertation, Pondicherry University, Puducherry.
Vohra, T., Chen, D.S., Chang, J.C. and Chen, H.C. (1990) A Network Approach to Cell Formation in Cellular Manufacturing. International Journal of Production Research, 28, 2075-2084. http://dx.doi.org/10.1080/00207549008942854
Choobineh, F. (1988) A Framework for the Design of Cellular Manufacturing Systems. International Journal of Production Research, 26, 1161-1172. http://dx.doi.org/10.1080/00207548808947932
Safer, S.M., Kern, G.M. and Wei, J.C. (1992) A Mathematical Programming Approach for Dealing with Exceptional Elements in Cellular Manufacturing. International Journal of Production Research, 30, 1029-1036. http://dx.doi.org/10.1080/00207549208942940
De Witte, J. (1980) The Use of Similarity Coefficient in Production Flow Analysis. International Journal of Production Research, 18, 503-514. http://dx.doi.org/10.1080/00207548008919686
Tam, K.Y. (1990) An Operation Sequence Based Similarity Coefficient for Part Families Formations. Journal of Manufacturing Systems, 9, 55-68. http://dx.doi.org/10.1016/0278-6125(90)90069-T
Askin, R.G. and Subramanian, S.P. (1987) A Cost-Based Heuristic for Group Technology Configuration. International Journal of Production Research, 25, 101-113. http://dx.doi.org/10.1080/00207548708919825
Stanfel, L.E. (1985) Machine Clustering for Economic Production. Engineering Costs and Production Economics, 9, 73-81. http://dx.doi.org/10.1016/0167-188X(85)90012-6
Balasubramanian, K.N. and Panneerselvam, R. (1993) Covering Technique-Based Algorithm for Machine Grouping to form Manufacturing Cells. International Journal of Production Research, 31, 1479-1504. http://dx.doi.org/10.1080/00207549308956803
Chan, H.M. and Milner, D.A. (1982) Direct Clustering Algorithm for Group Formation in Cellular Manufacturing. Journal of Manufacturing Systems, 1, 65-75. http://dx.doi.org/10.1016/S0278-6125(82)80068-X
Mosier, C. and Taube, L. (1985) Weighted Similarity Measure Heuristics for the Group Technology Machine Clustering Problem. Omega, 13, 577-583. http://dx.doi.org/10.1016/0305-0483(85)90046-5
Chandrasekharan, M.P. and Rajagopalan, R. (1989) Groupability: An Analysis of the Properties of Binary Data Matrices for Group Technology. International Journal of Production Research, 27, 1035-1052. http://dx.doi.org/10.1080/00207548908942606
Panneerselvam, R. (2012) Design and Analysis of Experiments. PHI Learning Pvt. Limited, New Delhi.