Abstract
Facility layout, which involves planning, designing and optimization of physical arrangement of resources, can be defined as one of the most fundamental operations in manufacturing systems. A good placement of facilities contributes to the overall efficiency of operations and reduces total operating expenses. Because of its importance, the facility layout problem has attracted attention in the research community. However, layout problems are known as complex and solvable in exponential time. Due to the combinatorial nature of such problems, no efficient exact algorithms exist. Thus, during the last decades, several metaheuristics have been applied to obtain efficient solutions. One of the special classes of the facility layout problem is the Single Row Facility Layout Problem (SRFLP), which is expressed by finding an optimal linear placement of facilities with varying dimensions on a straight line. In this study, bat algorithm is used to solve single row layout problem. Before application, the optimal settings of the bat algorithm parameters are determined through experimental analysis. Then the performance of the bat algorithm is tested on six-problem set selected from the literature.
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Adolphson, D., Hu, T.C.: Optimal linear ordering. SIAM J. Appl. Math. 25(3), 403–423 (1973)
Alba, E.: Parallel metaheuristics: a new class of algorithms. Wiley, Hoboken (2005)
de Alvarenga, A.G., Negreiros-Gomes, F.J., Mestria, M.: Metaheuristic methods for a class of the facility layout problem. J. Intell. Manuf. 11(4), 421–430 (2000)
Amaral, A.R.S.: On the exact solution of a facility layout problem. Eur. J. Oper. Res. 173(2), 508–518 (2006)
Amaral, A.R.S.: An exact approach for the one-dimensional facility layout problem. Oper. Res. 56(4), 1026–1033 (2008)
Amaral, A.R.S.: A new lower bound for the single row facility layout problem. Discrete Appl. Math. 157(1), 183–190 (2009)
Anjos, M.F., Kennings, A., Vannelli, A.: A semidefinite optimisation approach for the single-row layout problem with unequal dimensions. Discrete Optim. 2(2), 113–122 (2005)
Anjos, M.F., Vannelli, A.: Computing globally optimal solutions for single-row layout problems using semidefinite programming and cutting planes. INFORMS J. Comput. 20(4), 611–617 (2008)
Anjos, M.F., Yen, G.: Provably near-optimal solutions for very large single-row facility layout problems. Optimisation Methods Softw. 24(4), 805–817 (2009)
Blum, C., Roli, A.: Hybrid metaheuristics: an introduction. Hybrid metaheuristics, pp. 1–30. Springer, Berlin (2008)
Braglia, M.: Heuristics for single-row layout problems in flexible manufacturing systems. Prod. Planning Control 8(6), 558–567 (1997)
Burkard, R.E., Dell’Amico, M., Martello, S.: Assignment problems. Revised Reprint, Siam (2009)
Datta, D., Amaral, A.R., Figueira, J.R.: Single row facility layout problem using a permutation-based genetic algorithm. Eur. J. Oper. Res. 213(2), 388–394 (2011)
Djellab, H., Gourgand, M.: A new heuristic procedure for the single row facility layout problem. Int. J. Comput. Integr. Manuf. 14(3), 270–280 (2001)
Drira, A., Pierreval, H., Hajri-Gabouj, S.: Facility layout problems: a survey. Annu. Rev. Control 31(2), 255–267 (2007)
Gandomi, A.H., Yang, X.S., Alavi, A.H., Talatahari, S.: Bat algorithm for constrained optimization tasks. Neural Comput. Appl. 22(6), 1239–1255 (2013)
Glover, F.: Future paths for integer programming and links to artificial intelligence. Comput. Oper. Res. 13(5), 533–549 (1986)
Hall, K.M.: An r-dimensional quadratic placement algorithm. Manage. Sci. 17(3), 219–229 (1970)
Heragu, S.S., Kusiak, A.: Machine layout problem in flexible manufacturing systems. Oper. Res. 36(2), 258–268 (1988)
Heragu, S.S., Kusiak, A.: Efficient models for the facility layout problem. Eur. J. Oper. Res. 53(1), 1–13 (1991)
Heragu, S.S.: Invited review. Recent models and techniques for solving the layout problem. Eur. J. Oper. Res. 57, 136–144 (1992)
Heragu, S.S., Alfa, A.S.: Experimental analysis of simulated annealing based algorithms for the layout problem. Eur. J. Oper. Res. 57(2), 190–202 (1992)
Hungerländer, P., Rendl, F.: Semidefinite relaxations of ordering problems. Math. Program. 140(1), 77–97 (2013)
Koopmans, T.C., Beckmann, M.: Assignment problems and the location of economic activities. Econometrica J. Econometric Soc. 53–76 (1957)
Kothari, R., Ghosh, D.: An efficient genetic algorithm for single row facility layout. Optim. Lett. 8(2), 679–690 (2014)
Kouvelis, P., Chiang, W.C.: A simulated annealing procedure for single row layout problems in flexible manufacturing systems. Int. J. Prod. Res. 30(4), 717–732 (1992)
Kouvelis, P., Chiang, W.-C.: Optimal and heuristic procedures for row layout problems in automated manufacturing systems. J. Oper. Res. Soc. 47(6), 803–816 (1996)
Kumar, K.R., Hadjinicola, G.C., Lin, T.L.: A heuristic procedure for the single row facility layout problem. Eur. J. Oper. Res. 87, 65–73 (1995)
Kumar, M.S., Islam, M.N., Lenin, N., Vignesh Kumar, D., Ravindran, D.: A simple heuristic for linear sequencing of machines in layout design. Int. J. Prod. Res. 49(22), 6749–6768 (2011)
Letchford, A.N., Amaral, A.: A polyhedral approach to the single row facility layout problem. Working Paper. The Department of Management Science, Lancaster University (2011)
Lin, M.T.: The single-row machine layout problem in apparel manufacturing by hierarchical order-based genetic algorithm. Int. J. Clothing Sci. Techno. 21(1), 31–43 (2009)
Love, R.F., Wong, J.Y.: On solving a one-dimensional space allocation problem with integer programming. INFOR 14(2), 139–143 (1976)
Montgomery, D.C.: Design and analysis of experiments, 5th edn. Wiley, Hoboken (2001)
Neghabat, F.: An efficient equipment layout algorithm. Oper. Res. 22(3), 622–628 (1974)
Nugent, C.E., Vollman, T.E., Ruml, J.: An experimental comparison of tecniques for the assignment of facilities to locations. Oper. Res. 16(1), 150–173 (1968)
Ozcelik, F.: A hybrid genetic algorithm for the single row layout problem. Int. J. Prod. Res. 50(20), 5872–5886 (2012)
Picard, J., Queyranne, M.: On the one dimensional space allocation problem. J. Oper. Res. 29(2), 371–391 (1981)
Ponnambalam, S.G., Ramkumar, V.: A genetic algorithm for the design of single row layout in automated manufacturing systems. Int. J. Adv. Manuf. Technol. 18, 512–519 (2001)
Romero, D., Sánchez-Flores, A.: Methods for the one-dimensional space allocation problem. Comput. Oper. Res. 17(5), 465–473 (1990)
Samarghandi, H., Eshghi, K.: An efficient tabu algorithm for the single row facility layout problem. Eur. J. Oper. Res. 205(1), 98–105 (2010)
Samarghandi, H., Taabayan, P., Jahantigh, F.F.: A particle swarm optimization for the single row facility layout problem. Comput. Ind. Eng. 58(4), 529–534 (2010)
Simmons, D.M.: One-dimensional space allocation: an ordering algorithm. Oper. Res. 17(5), 812–826 (1969)
Simmons, D.M.: A further note on one-dimensional space allocation. Oper. Res. 19, 249 (1971)
Solimanpur, M., Vrat, P., Shankar, R.: An ant algorithm for the single row layout problem in flexible manufacturing systems. Comput. Oper. Res. 32(3), 583–598 (2005)
Talbi, E.-L.: Metaheuristics from design to implementation. Wiley, Hoboken (2009)
Teo, Y.T., Ponnambalam, S.G.: A hybrid ACO/PSO heuristic to solve single row layout problem. In: Proceeding of the IEEE International Conference on Automation Science and Engineering (CASE), Washington DC, pp. 597–602 (2008)
Tompkins, J.A., White, J.A., Bozer, Y.A., Frazelle, E.H., Tanchoco, J.M.A., Trevino, J.: Facilities planning, 2nd edn. Wiley, New York (1996)
Yang, X.S.: A new metaheuristic bat-inspired algorithm. In: Cruz, C., Gonza ́lez, J.R., Pelta, D.A., Terrazas, G. (eds.) Nature inspired cooperative strategies for optimization (NISCO 2010) studies in computational intelligence, vol. 284, pp. 65–74. Springer, Berlin (2010)
Yang, X.S.: Bat algorithm for multi-objective optimization. Int. J. Bio-Inspired Comput. 3(5), 267–274 (2011)
Yang, X.S., Gandomi, A.H.: Bat algorithm: a novel approach for global engineering optimization. Eng. Comput. 29(5), 464–483 (2012)
Yang, X.S.: Bat algorithm and cuckoo search: a tutorial, artificial intelligence, evolutionary computing and metaheuristics, pp. 421–434. Springer, Berlin (2013)
Yang, X.S., He, X.: Bat algorithm: literature review and applications. Int. J. Bio-Inspired Comput. 5(3), 141–149 (2013)
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Büyüksaatçı, S. (2015). Bat Algorithm Application for the Single Row Facility Layout Problem. In: Yang, XS. (eds) Recent Advances in Swarm Intelligence and Evolutionary Computation. Studies in Computational Intelligence, vol 585. Springer, Cham. https://doi.org/10.1007/978-3-319-13826-8_6
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DOI: https://doi.org/10.1007/978-3-319-13826-8_6
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