Abstract
The facility layout problem is one of the most important and complex problems in operations management. When the area requirements of departments are different, the problem is known as the unequal-area facility layout problem (UAFLP) and consists of locating a given number of departments within a facility plan, to minimize the total material handling cost, which is the most addressed criteria for the facility layout problems. In this chapter, a genetic algorithm (GA) is presented for solving the UAFLP for the case of a sportswear company. The genetic algorithm uses a two-part chromosome and the flexible bay structure (FBS) to obtain feasible solution alternatives for the facility layout. A set of data instances and parameters are used to validate and tune the genetic algorithm, respectively. The GA is applied to a garment production company showing that the genetic algorithm generates feasible and efficient layout alternatives for the case study.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aiello, G., Enea, M., Galante, G., La Scalia, G.: Multi objective genetic algorithms for unequal area facility layout problems: a survey. In: Proceedings Summer School Francesco Turco, pp. 95–100 (2013). Scopus. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84982881437&partnerID=40&md5=c5daf4f0d7e80b33fb0689701574575a
Allahyari, M.Z., Azab, A.: Mathematical modeling and multi-start search simulated annealing for unequal-area facility layout problem. Exp. Syst. Appl. 91, 46–62 (2018). Scopus. https://doi.org/10.1016/j.eswa.2017.07.049
Arango-Serna, M.D., Zapata-Cortes, J.A., Serna-Uran, C.A.: Collaborative multiobjective model for urban ggoods distribution optimization. In: García-Alcaraz, J.L., Alor-Hernández, G., Maldonado-Macías, A.A., Sánchez-Ramírez, C. (eds.) New Perspectives on Applied Industrial Tools and Techniques, pp. 47–70. Springer International Publishing (2018). https://doi.org/10.1007/978-3-319-56871-3_3
Armour, G.C., Buffa, E.S.: A heuristic algorithm and simulation approach to relative location of facilities. Manage. Sci. 9(2), 294–309 (1963). https://doi.org/10.1287/mnsc.9.2.294
Bozer, Y.A., Eller, R.D.: A reexamination of the distance-based facility layout problem. IIE Trans. (Institute of Industrial Engineers) 29(7), 549–560 (1997). Scopus. https://doi.org/10.1080/07408179708966365
Castillo, I., Westerlund, J., Emet, S., Westerlund, T.: Optimization of block layout design problems with unequal areas: a comparison of MILP and MINLP optimization methods. Comput. Chem. Eng. 30(1), 54–69 (2005). Scopus. https://doi.org/10.1016/j.compchemeng.2005.07.012
Chae, J., Regan, A.C.: Layout design problems with heterogeneous area constraints. Comput. Indus. Eng. 102, 198–207 (2016). Scopus. https://doi.org/10.1016/j.cie.2016.10.016
Drira, A., Pierreval, H., Hajri-Gabouj, S.: Facility layout problems: a survey. Annu. Rev. Control. 31(2), 255–267 (2007). https://doi.org/10.1016/j.arcontrol.2007.04.001
García-Hernández, L., Palomo-Romero, J.M., Salas-Morera, L., Arauzo-Azofra, A., Pierreval, H.: A novel hybrid evolutionary approach for capturing decision maker knowledge into the unequal area facility layout problem. Exp. Syst. Appl. 42(10), 4697–4708 (2015). Scopus. https://doi.org/10.1016/j.eswa.2015.01.037
García-Hernández, L., Pérez-Ortiz, M., Araúzo-Azofra, A., Salas-Morera, L., Hervás-Martínez, C.: An evolutionary neural system for incorporating expert knowledge into the UA-FLP. Neurocomputing 135, 69–78 (2014). Scopus. https://doi.org/10.1016/j.neucom.2013.01.068
García-Hernández, L., Salas-Morera, L., Carmona-Muñoz, C., García-Hernández, J.A., Salcedo-Sanz, S.: A novel island model based on coral reefs optimization algorithm for solving the unequal area facility layout problem. Eng. Appl. Artif. Intell. 89 (2020). Scopus https://doi.org/10.1016/j.engappai.2019.103445
García-Hernández, L., Salas-Morera, L., García-Hernández, J.A., Salcedo-Sanz, S., Valente de Oliveira, J.: Applying the coral reefs optimization algorithm for solving unequal area facility layout problems. Exp. Syst. Appl. 138 (2019). Scopus. https://doi.org/10.1016/j.eswa.2019.07.036
Holland, J.H.: Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence. University of Michigan Press (1975)
Hou, S., Wen, H., Feng, S., Wang, H., Li, Z.: Application of layered coding genetic algorithm in optimization of unequal area production facilities layout. Comput. Intell. Neurosci (2019). Scopus. https://doi.org/10.1155/2019/3650923
Ingole, S., Singh, D.: Unequal-area, fixed-shape facility layout problems using the firefly algorithm. Eng. Optim. 49(7), 1097–1115 (2017). Scopus. https://doi.org/10.1080/0305215X.2016.1235327
Kang, S., Chae, J.: Harmony search for the layout design of an unequal area facility. Exp. Syst. Appl. 79, 269–281 (2017). Scopus. https://doi.org/10.1016/j.eswa.2017.02.047
Komarudin, Wong, K.Y.: Applying ant system for solving unequal area facility layout problems. Eur. J. Oper. Res. 202(3), 730–746 (2010). Scopus. https://doi.org/10.1016/j.ejor.2009.06.016
Kulturel-Konak, S.: A linear programming embedded probabilistic tabu search for the unequal-area facility layout problem with flexible bays. Eur. J. Oper. Res. 223(3), 614–625 (2012). Scopus. https://doi.org/10.1016/j.ejor.2012.07.019
Kulturel-Konak, S., Konak, A.: Unequal area flexible bay facility layout using ant colony optimisation. Int. J. Prod. Res. 49(7), 1877–1902 (2011). Scopus. https://doi.org/10.1080/00207541003614371
Kulturel-Konak, S., Konak, A.: Linear programming based genetic algorithm for the unequal area facility layout problem. Int. J. Prod. Res. 51(14), 4302–4324 (2013). Scopus. https://doi.org/10.1080/00207543.2013.774481
Kulturel-Konak, S., Smith, A.E., Norman, B.A.: Layout optimization considering production uncertainty and routing flexibility. Int. J. Prod. Res. 42(21), 4475–4493 (2004). Scopus. https://doi.org/10.1080/00207540412331325567
Liu, J., Liu, J.: Applying multi-objective ant colony optimization algorithm for solving the unequal area facility layout problems. Appl. Soft Comput. J. 74, 167–189 (2019). Scopus. https://doi.org/10.1016/j.asoc.2018.10.012
Liu, J., Liu, S., Liu, Z., Li, B.: Configuration space evolutionary algorithm for multi-objective unequal-area facility layout problems with flexible bays. Appl. Soft Comput. J. 89 (2020). Scopus. https://doi.org/10.1016/j.asoc.2019.106052
Liu, J., Zhang, H., He, K., Jiang, S.: Multi-objective particle swarm optimization algorithm based on objective space division for the unequal-area facility layout problem. Exp. Syst. Appl. 102, 179–192 (2018). Scopus. https://doi.org/10.1016/j.eswa.2018.02.035
Meller, R.D., Chen, W., Sherali, H.D.: Applying the sequence-pair representation to optimal facility layout designs. Oper. Res. Lett. 35(5), 651–659 (2007). https://doi.org/10.1016/j.orl.2006.10.007
Meller, R.D., Gau, K.-Y.: The facility layout problem: recent and emerging trends and perspectives. J. Manuf. Syst. 15(5), 351–366 (1996). https://doi.org/10.1016/0278-6125(96)84198-7
Meller, R.D., Narayanan, V., Vance, P.H.: Optimal facility layout design. Oper. Res. Lett. 23(3–5), 117–127 (1998). Scopus. https://doi.org/10.1016/S0167-6377(98)00024-8
Paes, F.G., Pessoa, A.A., Vidal, T.: A hybrid genetic algorithm with decomposition phases for the Unequal Area Facility Layout Problem. Eur. J. Oper. Res. 256(3), 742–756 (2017). Scopus. https://doi.org/10.1016/j.ejor.2016.07.022
Palomo-Romero, J.M., Salas-Morera, L., García-Hernández, L.: An island model genetic algorithm for unequal area facility layout problems. Exp. Syst. Appl. 68, 151–162 (2017). Scopus. https://doi.org/10.1016/j.eswa.2016.10.004
Ripon, K.S.N., Glette, K., Khan, K.N., Hovin, M., Torresen, J.: Adaptive variable neighborhood search for solving multi-objective facility layout problems with unequal area facilities. Swarm Evol. Comput. 8, 1–12 (2013). Scopus. https://doi.org/10.1016/j.swevo.2012.07.003
Ripon, K.S.N., Khan, K.N., Glette, K., Hovin, M., Torresen, J.: Using pareto-optimality for solving multi-objective unequal area facility layout problem. Genet. Evol. Comput. Conf. GECCO, 681–688 (2011). Scopus. https://doi.org/10.1145/2001576.2001670
Sherali, H.D., Fraticelli, B.M.P., Meller, R.D.: Enhanced model formulations for optimal facility layout. Oper. Res. 51(4), 629–644 (2003). https://doi.org/10.1287/opre.51.4.629.16096
Sivanandam, S.N., Deepa, S.N.: Introduction to Genetic Algorithms. Springer, Berlin (2007)
Sule, D.R.: Manufacturing Facilities: Location, Planning, and Design, 3rd edn. CRC Press, Taylor & Francis Group (2008). https://www.taylorfrancis.com/books/e/9781420044232
Tate, D.M., Smith, A.E.: Unequal-area facility layout by genetic search. IIE Trans. (Institute of Industrial Engineers) 27(4), 465–472 (1995). Scopus. https://doi.org/10.1080/07408179508936763
Tompkins, J.A. (ed.).: Facilities Planning, 4th edn. Wiley, New York (2010)
Tong, X.: SECOT: A Sequential Construction Technique for Facility Design (1991)
Ulutas, B.H., Kulturel-Konak, S.: An artificial immune system based algorithm to solve unequal area facility layout problem. Exp. Syst. Appl. 39(5), 5384–5395 (2012). Scopus. https://doi.org/10.1016/j.eswa.2011.11.046
van Camp, D.J., Carter, M.W., Vannelli, A.: A nonlinear optimization approach for solving facility layout problems. Eur. J. Oper. Res. 57(2), 174–189 (1992). Scopus. https://doi.org/10.1016/0377-2217(92)90041-7
Wong, K.Y., Komarudin.: Solving facility layout problems using Flexible Bay Structure representation and Ant System algorithm. Exp. Syst. Appl. 37(7), 5523–5527 (2010). Scopus. https://doi.org/10.1016/j.eswa.2009.12.080
Xiao, Y.J., Zheng, Y., Zhang, L.M., Kuo, Y.H.: A combined zone-LP and simulated annealing algorithm for unequal-area facility layout problem. Adv. Prod. Eng. Manag. 11(4), 259–270 (2016). Scopus. https://doi.org/10.14743/apem2016.4.225
Xie, Y., Zhou, S., Xiao, Y., Kulturel-Konak, S., Konak, A.: A β-accurate linearization method of Euclidean distance for the facility layout problem with heterogeneous distance metrics. Eur. J. Oper. Res. 265(1), 26–38 (2018). Scopus. https://doi.org/10.1016/j.ejor.2017.07.052
Zapata-Cortés, J.A.: Optimización de la distribución de mercancías utilizando un modelo genético multiobjetivo de inventario colaborativo de m proveedores con n clientes [Doctoral Thesis, Universidad Nacional de Colombia] (2017). www.bdigital.unal.edu.co/53703/1/71366786.2016.pdf
Acknowledgements
This chapter is a product of a master’s degree project named “Modelo para la programación de la producción en enfoques de celdas de manufactura, integrando el diseño de plantas esbeltas, para el caso del sector de la confección de prendas de vestir”, which was supported by the Government of Norte de Santander and the Ministry of Science, Technology and Innovation of Colombia, MINCIENCIAS (previously known as COLCIENCIAS) through the call number 753: “Convocatoria para la Formación de Capital Humano de Alto Nivel para el Departamento de Norte de Santander – 2016”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Zapata-Cortés, J.A., Arango-Serna, M.D., Cáceres-Gelvez, S. (2023). Genetic Algorithm for the Optimization of the Unequal-Area Facility Layout Problem. In: Zapata-Cortes, J.A., Sánchez-Ramírez, C., Alor-Hernández, G., García-Alcaraz, J.L. (eds) Handbook on Decision Making. Intelligent Systems Reference Library, vol 226. Springer, Cham. https://doi.org/10.1007/978-3-031-08246-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-031-08246-7_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-08245-0
Online ISBN: 978-3-031-08246-7
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)