Abstract
This paper presents a hypervolume-based multi-objective path relinking algorithm for approximating the Pareto optimal set of multi-objective combinatorial optimization problems. We focus on integrating path relinking techniques within a multi-objective local search as an initialization function. Then, we carry out a range of experiments on bi-objective flow shop problem and bi-objective quadratic assignment problem. Experimental results and a statistical comparison are reported in the paper. In comparison with the other algorithms, one version of our proposed algorithm is very competitive. Some directions for future research are highlighted.
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
Basseur, M., Liefooghe, A., Le, K., Burke, E.: The efficiency of indicator-based local search for multi-objective combinatorial optimisation problems. Journal of Heuristics 18(2), 263–296 (2012)
Basseur, M., Seynhaeve, F., Talbi, E.-G.: Path Relinking in Pareto Multi-objective Genetic Algorithms. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 120–134. Springer, Heidelberg (2005)
Basseur, M., Zeng, R.Q., Hao, J.K.: Hypervolume-based multi-objective local search. Neural Computing and Applications 21(8), 1917–1929 (2012)
Brizuela, C., Aceves, R.: Experimental Genetic Operators Analysis for the Multi-objective Permutation Flowshop. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 578–592. Springer, Heidelberg (2003)
Cormen, T.H., Leiserson, C.E., Rivest, R.L.: Introduction to Algorithms. The MIT Press, Cambrige (1990)
Drugan, M.M., Thierens, D.: Path-Guided Mutation for Stochastic Pareto Local Search Algorithms. In: Schaefer, R., Cotta, C., Kołodziej, J., Rudolph, G. (eds.) PPSN XI. LNCS, vol. 6238, pp. 485–495. Springer, Heidelberg (2010)
Du, J., Leung, J.Y.-T.: Minimizing total tardiness on one machine is NP-hard. Mathematics of Operations Research 15, 483–495 (1990)
Glover, F., Laguna, M.: Fundamentals of scatter search and path relinking. Control and Cybernetics 29, 653–684 (1999)
Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and approximation in deterministic sequencing and scheduling: A survey. Annals of Discrete Mathematics 5, 287–326 (1979)
Jourdan, L., Basseur, M., Talbi, E.: Hybridizing exact methods and metaheuristics: A taxonomy. European Journal of Operational Research 199(3), 620–629 (2009)
Loiola, E.M., de Abreu, N.M.M., Boaventura-Netto, P.O., Querido, P., Querido, T.: A survey for the quadratic assignment problem. European Journal of Operational Reasearch 176, 657–690 (2007)
Pardalos, P., Rendl, F., Wolkowicz, H.: The quadratic assignment problem: A survey and recent developments. In: Proceedings of the DIMACS Workshop on Quadratic Assignment Problems. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 16, pp. 1–42 (1994)
Pasia, J.M., Gandibleux, X., Doerner, K.F., Hartl, R.F.: Local Search Guided by Path Relinking and Heuristic Bounds. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 501–515. Springer, Heidelberg (2007)
Schiavinotto, T., Stützle, T.: A review of metrics on permutations for search landscape analysis. Computers and Operations Research 34(10), 3143–3153 (2011)
Taillard, E.: Some efficient heuristic methods for flow-shop sequencing. European Journal of Operational Research 47, 65–74 (1990)
Taillard, E.: Robust taboo search for the quadratic assignment problem. Parallel Computing 17, 443–455 (1991)
Taillard, E.: Benchmarks for basic scheduling problems. European Journal of Operational Research 64, 278–285 (1993)
Thierens, D.: Exploration and Exploitation Bias of Crossover and Path Relinking for Permutation Problems. In: Runarsson, T.P., Beyer, H.-G., Burke, E.K., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds.) PPSN IX. LNCS, vol. 4193, pp. 1028–1037. Springer, Heidelberg (2006)
Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: A comparative case study and the strength pareto approach. Evolutionary Computation 3, 257–271 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zeng, RQ., Basseur, M., Hao, JK. (2013). Hypervolume-Based Multi-Objective Path Relinking Algorithm. In: Purshouse, R.C., Fleming, P.J., Fonseca, C.M., Greco, S., Shaw, J. (eds) Evolutionary Multi-Criterion Optimization. EMO 2013. Lecture Notes in Computer Science, vol 7811. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37140-0_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-37140-0_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37139-4
Online ISBN: 978-3-642-37140-0
eBook Packages: Computer ScienceComputer Science (R0)