Abstract
Path relinking algorithms have proved their efficiency in single objective optimization. Here we propose to adapt this concept to Pareto optimization. We combine this original approach to a genetic algorithm. By applying this hybrid approach to a bi-objective permutation flow-shop problem, we show the interest of this approach.
In this paper, we present first an Adaptive Genetic Algorithm dedicated to obtain a first well diversified approximation of the Pareto set. Then, we present an original hybridization with Path Relinking algorithm, in order to intensify the search between solutions obtained by the first approach. Results obtained are promising and show that cooperation between these optimization methods could be efficient for Pareto optimization.
Keywords
- Pareto Front
- Multiobjective Optimisation
- Pareto Solution
- Scatter Search
- Total Tardiness
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Coello, C.A.C., Veldhuizen, D.A.V., Lamont, G.B.: Evolutionary algorithms for solving Multi-Objective Problems. Kluwer, New York (2002)
Deb, K.: Multi-objective optimization using evolutionary algorithms. Wiley, Chichester (2001)
Zitzler, E., Deb, K., Thiele, L., Coello, C.A.C., Corne, D. (eds.): EMO 2001. LNCS, vol. 1993. Springer, Heidelberg (2001)
Reeves, C., Yamada, T.: Genetic algorithms, path relinking and the flowshop sequencing problem. Evolutionary Computation 6(1), 230–234 (1998)
Sayin, S., Karabati, S.: A bicriteria approach to the two-machine flow shop scheduling problem. European journal of operational research, 435–449 (1999)
Rajendran, C.: Heuristics for scheduling in flowshop with multiple objectives. European journal of operational research, 540–555 (1995)
Nagar, A., Haddock, J., Heragu, S.: Multiple and bicriteria scheduling: A litterature survey. European journal of operational research, 88–104 (1995)
Sivrikaya, F., Ulusoy, G.: A bicriteria two-machine permutation flowshop problem. European journal of operational research, 414–430 (1998)
Graham, R.L., Lawler, E.L., Lenstra, J.K., Kan, A.H.G.R.: Optimization and approximation in deterministic sequencing and scheduling: a survey. In: Annals of Discrete Mathematics, vol. 5, pp. 287–326 (1979)
Lenstra, J.K., Kan, A.H.G.R., Brucker, P.: Complexity of machine scheduling problems. Annals of Discrete Mathematics 1, 343–362 (1977)
Kim, Y.-D.: Minimizing total tardiness in permutation flowshops. European Journal of Operational Research 33, 541–551 (1995)
Du, J., Leung, J.Y.-T.: Minimizing total tardiness on one machine is NP-hard. Mathematics of operations research 15, 483–495 (1990)
Taillard, E.: Benchmarks for basic scheduling problems. European Journal of Operations Research 64, 278–285 (1993)
Talbi, E.G., Rahoual, M., Mabed, M.H., Dhaenens, C.: A hybrid evolutionary approach for multicriteria optimization problems: Application to the flow shop. In: Zitzler, E., Deb, K., Thiele, L., Coello Coello, C.A., Corne, D.W. (eds.) EMO 2001. LNCS, vol. 1993, pp. 416–428. Springer, Heidelberg (2001)
Srinivas, N., Deb, K.: Multiobjective optimisation using non-dominated sorting in genetics algorithms. In: Evolutionary Computation, vol. 2, p. 221 (1994)
Basseur, M., Seynhaeve, F., Talbi, E.-G.: Design of multi-objective evolutionary algorithms: Application to the flow-shop scheduling problem. In: Congress on Evolutionary Computation (CEC2002), Honolulu, Hawaii, USA, pp. 1151–1156 (2002)
Hong, T.-P., Wang, H.-S., Chen, W.-C.: Simultaneous applying multiple mutation operators in genetic algorithm. Journal of Heuristics 6, 439–455 (2000)
Basseur, M., Seynhaeve, F., Talbi, E.-G.: Adaptive mechanisms for multi-objective evolutionary algorithms. In: Congress on Engineering in System Application (CESA 2003), Lille, France, pp. 72–86 (2003)
Glover, F.: Tabu search and adaptive memory programing advances, applications and challenges. In: Interfaces in Computer Science and Operations Research (96), pp. 1–75. Kluwer Academic Publishers, Boston
Glover, F., Laguna, M.: Fundamentals of scatter search and path relinking. Control and Cybernetics 29, 653–684 (1999)
Beausoleil, R.P.: Multiple Criteria Scatter Search. In: 4th Metaheuritics International Congress, Porto, Portugal, pp. 539–543 (2001)
Gandibleux, X., Morita, H., Katoh, N.: Impact of clusters, path-relinking and mutation operators on the heuristic using a genetic heritage for solving assignment problems with two objectives. In: Metaheuristics International Conference (MIC 2003), Kyoto, Japan, vol. 23(1–6) (2003)
Cormen, T.H., Leiserson, C.E., Rivest, R.L.: 15. In: Introduction to algorithms, pp. 350–355. The MIT Press, Cambridge (1990)
Meunier, H., Talbi, E.G., Reininger, P.: A multiobjective genetic algorithm for radio network optimisation. In: CEC, Piscataway, New Jersey, vol. 1, pp. 317–324. IEEE Service Center (2000)
Zitzler, E.: Evolutionary algorithms for multiobjective optimization: Methods and applications. Master’s thesis, Swiss federal Institute of technology (ETH), Zurich, Switzerland (1999)
Knowles, J.D., Corne, D.W.: On metrics for comparing non-dominated sets. In: Center, I.S. (ed.) Congress on Evolutionary Computation (CEC’2002), Piscataway, New Jersey, vol. 1, pp. 711–716 (2002)
Lemesre, J., Dhaenens, C., Talbi, E.G.: A parallel exact method for a bicriteria permutation flow-shop problem. In: Project Management and Scheduling (PMS 2004), Nancy, France, pp. 359–362 (2004)
Cahon, S., Melab, N., Talbi, E.-G.: Paradiseo: a framework for the flexible design of parallel and distributed hybrid metaheuristics. Journal of Heuristics 10, 357–380 (2004)
Basseur, M.: Cooperative models for multi-objective optimization. PhD thesis, University of Lille (to appear)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Basseur, M., Seynhaeve, F., Talbi, EG. (2005). Path Relinking in Pareto Multi-objective Genetic Algorithms. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds) Evolutionary Multi-Criterion Optimization. EMO 2005. Lecture Notes in Computer Science, vol 3410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31880-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-31880-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24983-2
Online ISBN: 978-3-540-31880-4
eBook Packages: Computer ScienceComputer Science (R0)
