Abstract
The Manufacturing Cell Design Problem (MCDP) consists in creating an optimal design of production plants, through the creation of cells grouping machines that process parts of a given product. The goal is to reduce costs and increase productivity by minimizing movements and exchange of material between these cells. In this paper, we present a Firefly Algorithm (FA) to tackle this problem. The FA is a recent bio-inspired metaheuristic based on the mating behavior of fireflies that employ its flashing capabilities to communicate with each other or attract potential prey. We incorporate efficient transfer and discretization methods in order to suitable handle the binary domains of the problem. Interesting experimental results are illustrated where several global optimums are reached for a set of 90 well-known MCDP instances.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adil, G., Rajamani, D., Strong, D.: A mathematical model for cell formation considering investment and operational costs. Eur. J. Oper. Res. 69(3), 330–341 (1993)
Aljaber, N., Baek, W., Chen, C.-L.: A tabu search approach to the cell formation problem. Comput. Ind. Eng. 32(1), 169–185 (1997)
Atmani, A., Lashkari, R., Caron, R.: A mathematical programming approach to joint cell formation and operation allocation in cellular manufacturing. Int. J. Prod. Res. 33(1), 1–15 (1995)
Boctor, F.F.: A linear formulation of the machine-part cell formation problem. Int. J. Prod. Res. 29(2), 343–356 (1991)
Boulif, M., Atif, K.: A new branch-&-bound-enhanced genetic algorithm for the manufacturing cell formation problem. Comput. Oper. Res. 33(8), 2219–2245 (2006)
Burbidge, J.: Production flow analysis. Prod. Eng. 42(12), 742–752 (1963)
Chandrasekaran, K., Simon, S.P.: Network and reliability constrained unit commitment problem using binary real coded firefly algorithm. Int. J. Electr. Power Energy Syst. 43(1), 921–932 (2012)
Crawford, B., Soto, R., Olivares-Suárez, M., Paredes, F.: A binary firefly algorithm for the set covering problem. In: Proceedings of 3rd Computer Science On-line Conference (CSOC), AISC, vol. 285, pp. 65–73. Springer (2014)
Crawford, B., Soto, R., Peña, C., Palma, W., Johnson, F., Paredes, F.: A binary coded shuffled frog leaping algorithm for the set covering problem. In: Proceedings of the 7th Asian Conference on Intelligent Information and Database Systems (ACIIDS), LNCS, vol. 9012, pp. 41–50. Springer (2015)
Durán, O., Rodriguez, N., Consalter, L.: Collaborative particle swarm optimization with a data mining technique for manufacturing cell design. Expert Syst. Appl. 37(2), 1563–1567 (2010)
Irani, S.A.: Handbook of Cellular Manufacturing Systems. Wiley (1999)
James, T.L., Brown, E.C., Keeling, K.B.: A hybrid grouping genetic algorithm for the cell formation problem. Comput. Oper. Res. 34(7), 2059–2079 (2007)
Lozano, S., Dáaz, A., Eguáa, I., Onieva, L.: A one-step tabu search algorithm for manufacturing cell design. J. Oper. Res. Soc. 50(5), 209–516 (1999)
Oliva-Lopez, E., Purcheck, G.: Load balancing for group technology planning and control. Int. J. Mach. Tool Des. Res. 19(4), 259–274 (1979)
Purcheck, G.F.K.: A linear-programming method for the combinatorial grouping of an incomplete set. J. Cybern. 5(4), 51–78 (1975)
Sankaran, S., Rodin, E.Y.: Multiple objective decision making approach to cell formation: a goal programming model. Math. Comput. Model. 13(9), 71–81 (1990)
Shafer, S.M., Rogers, D.F.: A goal programming approach to the cell formation problem. J. Oper. Manage. 10(1), 28–43 (1991)
Soto, R., Kjellerstrand, H., Durán, O., Crawford, B., Monfroy, E., Paredes, F.: Cell formation in group technology using constraint programming and boolean satisfiability. Expert Syst. Appl. 39(13), 11423–11427 (2012)
Storch, R.L.: Group technology. College of Engeneering. University of Washington (2010)
Venugopal, V., Narendran, T.: A genetic algorithm approach to the machine-component grouping problem with multiple objectives. Comput. Ind. Eng. 22(4), 469–480 (1992)
Wu, T., Chang, C., Chung, S.: A simulated annealing algorithm for manufacturing cell formation problems. Expert Syst. Appl. Int. J. 34(3), 1609–1617 (2008)
Xambre, A.R., Vilarinho, P.M.: A simulated annealing approach for manufacturing cell formation with multiple identical machines. Eur. J. Oper. Res. 151(2), 434–446 (2003)
Yang, X.-S.: Nature-Inspired Metaheuristic Algorithm. University of Cambridge, Luniver Press, UK (2008)
Yang, X.-S.: Firefly algorithms for multimodal optimization. In: Proceedings of the 5th International Conference on Stochastic Algorithms: Foundations and Applications (SAGA), LNCS, vol. 285. pp. 169–178. Springer (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Soto, R., Crawford, B., Lama, J., Paredes, F. (2016). A Firefly Algorithm to Solve the Manufacturing Cell Design Problem. In: Silhavy, R., Senkerik, R., Oplatkova, Z., Silhavy, P., Prokopova, Z. (eds) Artificial Intelligence Perspectives in Intelligent Systems. Advances in Intelligent Systems and Computing, vol 464. Springer, Cham. https://doi.org/10.1007/978-3-319-33625-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-33625-1_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-33623-7
Online ISBN: 978-3-319-33625-1
eBook Packages: EngineeringEngineering (R0)