Abstract
The following paper describes a cooperative coevolutionary algorithm which incorporates a novel collaboration formation mechanism. It encourages rewarding of components participating in successful collaborations from each sub-population. The successfulness of the collaboration is measured by a non-dominated sorting procedure. The algorithm has demonstrated it can perform comparably with the NSGA-II on some multiobjective function optimization problems.
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
Hillis, D.: Coevolving Parasites Improves Simulated Evolution as an Optimization Procedure. In: Langton, C.G., Taylor, C., Farmer, J.D., Rasmussen, S. (eds.) Artificial Life II - Proc. of the Workshop on the Synthesis and Simulation of Living Systems, pp. 313–324. Addison Wesley, Redwood City (1990)
Coello, C.A.C., Sierra, M.R.: A Coevolutionary Multi-objective Evolutionary Algorithm. In: Sarker, R., Reynolds, R., Abbass, H., Tan, K.C., McKay, B., Essam, D., Gedeon, T. (eds.) Proc. 2003 Congress on Evolutionary Computation (CEC 2003), pp. 482–489. IEEE Press, Piscataway (2003)
Potter, M.A., De Jong, K.A.: Cooperative Coevolution: An Architecture for Evolving Coadapted Subcomponents. Evolutionary Computation 8(1), 1–29 (2000)
Eriksson, R., Olsson, B.: Cooperative Coevolution in Inventory Control Optimisation. In: Smith, G.D., Steele, N.C., Albrecht, R.F. (eds.) Proc. of the Third International Conference on Artificial Neural Networks and Genetic Algorithms (ICANNGA 1997), pp. 583–587. Springer, Berlin (1997)
Potter, M.A., De Jong, K.A., Grefenstette, J.J.: A Coevolutionary Approach to Learning Sequential Decision Rules. In: Eshelman, L. (ed.) Proc. of the Sixth International Conference on Genetic Algorithms, pp. 366–372. Morgan Kaufmann, San Francisco (1995)
Tan, K.C., Yang, Y.J., Lee, T.H.: A Distributed Cooperative Coevolutionary Algorithm for Multiobjective Optimization. In: Sarker, R., Reynolds, R., Abbass, H., Tan, K.C., McKay, B., Essam, D., Gedeon, T. (eds.) Proc. 2003 Congress on Evolutionary Computation (CEC 2003), pp. 2513–2520. IEEE Press, Piscataway (2003)
Keerativuttitumrong, N., Chaiyaratana, N., Varavithya, V.: Multi-objective Cooperative Coevolutionary Genetic Algorithm. In: Guervós, J.J.M., Adamidis, P.A., Beyer, H.-G., Fernández-Villacañas, J.-L., Schwefel, H.-P. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 288–297. Springer, Heidelberg (2002)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm. In: Giannakoglou, K.C., Tsahalis, D.T., Periaux, J., Papailiou, K.D., Fogarty, T. (eds.) EUROGEN 2001, Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems, Barcelona Spain. International Center for Numerical Methods in Engineering (Cmine), pp. 95–100 (2001)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II,”. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Fonsea, C.M., Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion, and Generalization. In: Forrest, S. (ed.) Proc. of the Fifth International Conference on Genetic Algorithms, vol. 26, pp. 30–45. Morgan Kaufmann, Los Altos (1993)
Potter, M.A., De Jong, K.: A Cooperative Coevolutionary Approach to Function Optimization. In: Proc. of Parallel Problem Solving From Nature III (PPSN III), pp. 249–257. Springer, Berlin (1995)
Mao, J., et al.: Genetic Symbiosis Algorithm for Multiobjective Optimization Problems. In: Beyer, H., et al. (eds.) Proc. 2001 Genetic and Evolutionary Computation Congress (GECCO 2001), p. 771. Morgan Kaufmann, San Francisco (2001)
Barbosa, H.J.C., Barreto, A.M.S.: An Interactive Genetic Algorithm with Co-evolution of Weights for Multiobjective Problems. In: Beyer, H., et al. (eds.) Proc. 2001 Genetic and Evolutionary Computation Congress (GECCO 2001)., pp. 203–210. Morgan Kaufmann, San Francisco (2001)
Parmee, I.C., Watson, A.H.: Preliminary Airframe Design Using Co-evolutionary Multiobjective Genetic Algorithms. In: Banzhaf, W., et al. (eds.) Proc. 1999 Genetic and Evolutionary Computation Congress (GECCO 1999), pp. 1657–1665. Morgan Kaufmann, San Francisco (1999)
Lohn, J., Kraus, W.F., Haith, G.L.: Comparing a Coevolutionary Genetic Algorithm for Multiobjective Optimization. In: Fogel, D., et al. (eds.) Proc. 2002 Congress on Evolutionary Computation (CEC 2002), pp. 1157–1162. IEEE Press, Piscataway (2002)
Lohn, J., et al.: A Comparison of Dynamic Fitness Schedules for Evolutionary Design of Amplifiers. In: Stoica, A., Keymeulen, D., Lohn, J. (eds.) The First NASA/DoDWorkshop on Evolvable Hardware, pp. 87–92. IEEE Press, Los Alamitos (1999)
Deb, K., Agrawal, R.B.: Simulated Binary Crossover for Continuous Search Space. Complex Systems 9(2), 115–148 (1995)
Deb, K., Kumar, A.: Real-coded Genetic Algorithms with Simulated Binary Crossover: Studies on Multi-modal and Multi-objective Problems. Complex Systems 9(6), 431–454 (1995)
Deb, K., Goyal, M.: A Combined Genetic Adaptive Search (GENEAS) for Engineering Design. Computer Science and Informatics 26(4), 30–45 (1995)
Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: Empirical results. Evolutionary Computation 8(2), 173–195 (2000)
Salomon, R.: Re-evaluating Genetic Algorithm Performance Under Coordinate Rotation of Benchmark Functions: A Survey of Some Theoretical and Practical Aspects of Genetic Algorithms. Bio Systems 39(3), 263–278 (1996)
Weicker, K., Weicker, N.: On the Improvement of Coevolutionary Optimizers by Learning Variable Interdependencies. In: Proc. 1999 Congress on Evolutionary Computation (CEC 1999), pp. 1627–1632. IEEE Press, Los Alamitos (1999)
Iorio, A.W., Li, X.: Parameter Control Within a Cooperative Coevolutionary Genetic Algorithm. In: Guervós, J.J.M., et al. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 247–256. Springer, Heidelberg (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Iorio, A.W., Li, X. (2004). A Cooperative Coevolutionary Multiobjective Algorithm Using Non-dominated Sorting. In: Deb, K. (eds) Genetic and Evolutionary Computation – GECCO 2004. GECCO 2004. Lecture Notes in Computer Science, vol 3102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24854-5_56
Download citation
DOI: https://doi.org/10.1007/978-3-540-24854-5_56
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22344-3
Online ISBN: 978-3-540-24854-5
eBook Packages: Springer Book Archive