Abstract
The flow-shop scheduling problem with the makespan criterion is an important production scheduling problem. Although this problem has a simple formulation, it is NP-hard. Therefore many heuristic and metaheuristic methods had been proposed to solve this problem. In this paper, a hybrid genetic algorithm is presented for the flow-shop scheduling problem. In our method, a modified version of NEH with random re-start is used to generate the initial population. Also, a new orthogonal array crossover is devised as the crossover operator of the genetic algorithm. The tabu search is hybridized with the genetic algorithm and acts as the local search method. The proposed algorithm had been tested on two benchmarks. The results are compared with those of other methods that had also been tested on these benchmarks. The comparison shows that our method outperforms other methods on these benchmarks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Carlier, J., Rebai, Ï.: Two branch and bound algorithms for the permutation flow shop problem. Eur. J. Oper. Res. 90, 238–251 (1996)
Carlier, J.: Ordonnancements a contraintes disjunctives. RAIRO Recherche operationell/Oerations Research 12, 333–351 (1978)
Dannenbring, D.: An evaluation of flow shop sequencing heuristics. Manag. Sci. 23, 1174–1182 (1977)
Garey, M.R., Johnson, D.S., Sethi, R.: The complexity of flowshop and jobshop scheduling. Math. Oper. Res. 1, 117–129 (1976)
Glover, F., Laguna, M.: Tabu Search. Kluwer Academic Publishers, Boston (1997)
Grabowski, J., Wodecki, M.: A very fast tabu search algorithm for the permutation flow shop problem with makespan criterion. Comput. Oper. Res. 31, 1891–1909 (2004)
Ishubuchi, M., Masaki, S., Tanaka, H.: Modified simulated annealing for the flow shop sequencing problems. Eur. J. Oper. Res. 81, 388–398 (1995)
Montgomery, D.C.: Design and Analysis of Experiments, 3rd edn. Wiley, New York (1991)
Nawaz, M., Enscore Jr., E., Ham, I.: A heuristic algorithm for the m-Machine, n-Job flow-Shop Sequencing Problem. Omega 11, 91–95 (1983)
Nowicki, E., Smutnicki, C.: A fast tabu search algorithm for the permutation flow-shop problem. Eur. J. Oper. Res. 91, 160–175 (1996)
Ogub, F.A., Simith, D.K.: Simulated annealing for the permutation flowshop problem. Omega 19, 64–67 (1990)
Reeves, C.R.: A genetic algorithm for flowshop sequencing. Comput. Oper. Res. 22, 5–13 (1995)
Reeves, C.R., Yamada, T.: Genetic algorithm, path relinking and the flowshop sequencing problem. Evol. Compu. 6, 45–60 (1998)
Taillard, E.: Benchmarks for basic scheduling problems. Eur. J. Oper. Res. 64, 278–285 (1993)
Taillard, E.: Some efficient heuristic methods for the flow shop sequencing problem. Eur. J. Oper. Res. 47, 65–74 (1990)
Wang, L., Zheng, D.-Z.: A effective hybrid heuristic for flow shop scheduling. Int. J. Adv. Manuf. Technol. 21, 38–44 (2003)
Wang, L., Zheng, L., Zheng, D.-Z.: A class of order-based genetic algorithm for flow shop scheduling. Int. J. Adv. Manuf. Technol. 22, 828–835 (2003)
Watson, J.P., Barbulescu, L., Whitley, L.D., Howe, A.E.: Contrasting structured and random permutation flow-shop scheduling problem: search-space topology and algorithm performance. Jour. Comput. 14, 98–123 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tseng, LY., Lin, YT. (2006). A Hybrid Genetic Algorithm for the Flow-Shop Scheduling Problem. In: Ali, M., Dapoigny, R. (eds) Advances in Applied Artificial Intelligence. IEA/AIE 2006. Lecture Notes in Computer Science(), vol 4031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779568_25
Download citation
DOI: https://doi.org/10.1007/11779568_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35453-6
Online ISBN: 978-3-540-35454-3
eBook Packages: Computer ScienceComputer Science (R0)