Abstract
This paper deals with the facility layout problem (FLP) in manufacturing systems, the main purpose of the paper is to solve the static facility layout problem as a quadratic assignment problem QAP using approximated approaches. We present Bio-geography Based Optimization meta-heuristic BBO and a parallel hybrid BBO with tabu search PBBO-TS algorithm to solve the facility layout problem. Parallel computing is implemented to diversify the search, to increase the performance of BBO algorithm, and to accelerate the speed of the running time. The proposed approaches were tested on QAPLIB benchmark instances and compared with some of the best performing sequential and parallel algorithms in the literature. The comparisons prove that the proposed algorithm PBBO-TS produce satisfactory results. In addition, the performance of the parallel implementation of the program is studied in terms of speedup and efficiency; the obtained results show that the parallel implemented system is scalable.
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The data that support the findings in this study are openly available in QAPLIB Home Page at http://anjos.mgi.polymtl.ca/qaplib/(the online version of QAPLIB - A Quadratic Assignment Problem library by Burkard et al. [7])
References
Abedzadeh M, Mazinani M, Moradinasab N, Roghanian E (2013) Parallel variable neighborhood search for solving fuzzy multi-objective dynamic facility layout problem. Int J Adv Manuf Technol 65 (1-4):197–211
Bazaraa MS (1975) Computerized layout design: a branch and bound approach. AIIE Trans 7 (4):432–438
Beresnev V (2013) Branch-and-bound algorithm for a competitive facility location problem. Comput Oper Res 40(8):2062–2070
Blanks JP (1985) Near-optimal quadratic-based placement for a class of ic layout problems. IEEE Circ Devices Mag 1(5):31–37
Burkard R, Bonninger T (1983) A heuristic for quadratic boolean program with applications to quadratic assignment problems. Eur J Oper Res 13:374–386
Burkard RE (1984) Quadratic assignment problems. Eur J Oper Res 15(3):283–289
Burkard RE, Karisch SE, Rendl F (1997) Qaplib–a quadratic assignment problem library. J Global Optim 10(4):391–403
Christofides N, Benavent E (1989) An exact algorithm for the quadratic assignment problem on a tree. Oper Res 37(5):760– 768
Elshafei AN (1977) Hospital layout as a quadratic assignment problem. J Oper Res Soc 28 (1):167–179
Fleurent C, Ferland JA (1994) Genetic hybrids for the quadratic assignment problem. Quadratic Assignment Related Probl 16:173–187
Forghani K, Mohammadi M, et al. (2012) Integrated quadratic assignment and continuous facility layout problem. Int J Ind Eng Comput 3(5):787–806
Gambardella LM, Taillard E. ́D., Dorigo M (1999) Ant colonies for the quadratic assignment problem. J Oper Res Soc 50(2):167–176
Garey MR, Johnson DS, Stockmeyer L (1974) Some simplified np-complete problems. In: Proceedings of the sixth annual ACM symposium on Theory of computing, pp 47–63
Hadley SW, Rendl F, Wolkowicz H (1992) A new lower bound via projection for the quadratic assignment problem. Math Oper Res 17(3):727–739
Hahn PM, Krarup J (2001) A hospital facility layout problem finally solved. J Intell Manuf 12(5-6):487–496
James T, Rego C, Glover F (2009) A cooperative parallel tabu search algorithm for the quadratic assignment problem. Eur J Oper Res 195(3):810–826
Kim J, Kim YD (1999) A branch and bound algorithm for locating input and output points of departments on the block layout. J Oper Res Soc 50(5):517–525
Koopmans TC, Beckmann M (1957) Assignment problems and the location of economic activities. Econometrica 53–76
Kusiak A, Heragu SS (1987) The facility layout problem. Eur J Oper Res 29(3):229–251
Li Y, Pardalos PM (1992) Generating quadratic assignment test problems with known optimal permutations. Comput Optim Appl 1(2):163–184
Lim WL, Wibowo A, Desa MI, Haron H (2016) A biogeography-based optimization algorithm hybridized with tabu search for the quadratic assignment problem. Comput Intell Neurosci 2016
Nugent CE, Vollmann TE, Ruml J (1968) An experimental comparison of techniques for the assignment of facilities to locations. Oper Res 16(1):150–173
Ramkumar A, Ponnambalam S, Jawahar N (2009) A population-based hybrid ant system for quadratic assignment formulations in facility layout design. Int J Adv Manuf Technol 44(5-6):548– 558
Sahni S, Gonzalez T (1976) P-complete approximation problems. J ACM (JACM) 23(3):555–565
Singh SP (2009) Solving facility layout problem: three-level tabu search metaheuristic approach. Int J Recent Trends Eng 1(1):73
Skorin-Kapov J (1990) Tabu search applied to the quadratic assignment problem. ORSA J Comput 2(1):33–45
Stanevičienė E, Misevičius A, Ostreika A (2019) Experimental analysis of hybrid genetic algorithm for the grey pattern quadratic assignment problem. Inf Technol Control 48(2):335– 356
Steinberg L (1961) The backboard wiring problem: A placement algorithm. Siam Rev 3(1):37–50
Taillard É (1991) Robust taboo search for the quadratic assignment problem. Parallel Comput 17(4-5):443–455
Talbi EG, Roux O, Fonlupt C, Robillard D (2001) Parallel ant colonies for the quadratic assignment problem. Futur Gener Comput Syst 17(4):441–449
Thonemann UW, Bolte A (1994) An improved simulated annealing algorithm for the quadratic assignment problem. Technical Report, Department of Production and Operations Research, University of Paderborn, Allemagne
Tosun U, Dokeroglu T, Cosar A (2013) A robust island parallel genetic algorithm for the quadratic assignment problem. Int J Prod Res 51(14):4117–4133
Xie W, Sahinidis NV (2008) A branch-and-bound algorithm for the continuous facility layout problem. Comput Chem Eng 32(4-5):1016–1028
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Journal: International Journal of Advanced Manufacturing Technology IJAMT
Title of contribution: Parallel hybrid BBO-TS algorithm for QAP-formulation of FLP
The Work’s author or authors: Lakehal Soumaya, RECITS Laboratory, Faculty of Mathematics, USTHB University, Algiers, Algeria.
Aitzai Abdelhakim, RECITS Laboratory, Faculty of Electronics and Computer Science (FEI), Department of Computer Science, USTHB University, Algiers, Algeria.
Ghedjati Fatima, CReSTIC, IUT Reims, URCA University, Reims, France.
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Dr. Aitzai Abdelhakim is the principal advisor and he conceived and designed the study. Ms. Lakehal Soumaya conducted the experiments, collected the data and wrote the manuscript. Dr. Ghedjati Fatima contributed by providing access to the computing software and resources. All authors contributed to the manuscript revision and approve the final version of manuscript.
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Lakehal, S., Aitzai, A. & Ghedjati, F. Parallel hybrid BBO-TS algorithm for QAP-formulation of FLP. Int J Adv Manuf Technol 117, 3189–3209 (2021). https://doi.org/10.1007/s00170-021-07000-x
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DOI: https://doi.org/10.1007/s00170-021-07000-x