Browse > Article

A Symbiotic Evolutionary Algorithm for Multi-objective Optimization  

Shin, Kyoung-Seok (전남대학교 산학협력단)
Kim, Yeo-Keun (전남대학교 산업공학과)
Publication Information
Abstract
In this paper, we present a symbiotic evolutionary algorithm for multi-objective optimization. The goal in multi-objective evolutionary algorithms (MOEAs) is to find a set of well-distributed solutions close to the true Pareto optimal solutions. Most of the existing MOEAs operate one population that consists of individuals representing the entire solution to the problem. The proposed algorithm has a two-leveled structure. The structure is intended to improve the capability of searching diverse and food solutions. At the lower level there exist several populations, each of which represents a partial solution to the entire problem, and at the upper level there is one population whose individuals represent the entire solutions to the problem. The parallel search with partial solutions at the lower level and the Integrated search with entire solutions at the upper level are carried out simultaneously. The performance of the proposed algorithm is compared with those of the existing algorithms in terms of convergence and diversity. The optimization problems with continuous variables and discrete variables are used as test-bed problems. The experimental results confirm the effectiveness of the proposed algorithm.
Keywords
Multi-objective Optimization; Multi-objective Evolutionary Algorithm; Symbiotic EA; Pareto Optimal Solutions; Non-dominated Solutions;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Deb, K., M. Mohan, and S. Mishra, 'Evaluating the $\varepsilon$-Dorninance Based Multi-Objective Evolutionary Algorithm for a Quick Computation of Pareto-Optimal Solutions,' Evolutionary Computation, Vol.13, No.4(2005), pp.501-525   DOI   ScienceOn
2 Fonseca, C.M. and P.J. Fleming, 'Genetic algorithm for multiobjective optimization, formulation, discussion and generalization,' In Forrest, S. (ed.) Genetic Algorithms: Proceeding of the Fifth International Conference, 416-423. Morgan Kaufmann, San Mateo, CA. 1993
3 Horn, J., N. Nafpliotis, and D.E. Goldberg, 'A niched Pareto genetic algorithm for multiobjective optimization,' IEEE international Conference on Evolutionary Computation, Vol.1(1994), pp.82-87
4 Hyun, C.J., Y.H. Kim, and Y.K. Kim, 'A genetic algorithm for multiple objective sequencing problems in mixed model assembly,' Computers & Operations Research, Vol.25(1998), pp.657-690
5 Kim, J.Y., Y. Kim, and Y.K. Kim, 'An endosymbiotic evolutionary algorithm for optimization,' Applied Intelligence, Vol.15(2001), pp.117-130   DOI
6 Muhlenbein, H. and D. Schlierkamp- Voosen, 'Predictive models for the breeder genetic algorithm I. Continuous parameter optimization,' Evolutionary Computation, Vol.1 No.2(1993), pp.25-49   DOI
7 Deb, K., L. Thiele, M. Laumanns, and E. Zitzler, 'Scalable Test Problems for Evolutionary Multi-Objective Optimization,' TIK-Report No.112, Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology (ETH) Zurich, July, 2001
8 Srinivas, N. and K. Deb, 'Multiobjective optimization using nondominated sorting in genetic algorithms,' Evolutionary Computation, Vol.2, No.3(1985), pp.221-248   DOI
9 Zitzler, E., M. Laumanns, and L. Thiele, 'SPEA2 : Improving the Strength Pareto evolutionary Algorithm,' Technical Report 103, Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology (ETH) Zurich, Gloriastrasse 35, CH-8092 Zurich, Switzerland, May, 2001
10 Goldberg, D.E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison Wesley, Reading, Massachusetts. 1989
11 Michalewics, Z., 'Genetic Algorithms-Data Structures=Evolution Programs,' Second, Extended Edition, Springer-Verlag, 1992
12 Coello, C.A.C., 'A Comprehensive Survey of Evolutionary-Based Multiobjective Optimization Techniques,' Knowledge and Information Systems, Vol.11, No.3(1999), pp.269-308
13 Knowles, J.D. and D.W. Corne, 'The Pareto archived evolution strategy: A new baseline algorithm for multi-objective optimization,' IEEE International Conference on Evolutionary Computation. (1999), pp.98-105
14 Veldhuizen, D.A.V. and G.B. Lamont, 'Multiobjective evolutionary algorithms: Analyzing the state-of-the-art,' Evolutionary Computation, Vol.8, No.2(2000), pp.125-147   DOI   ScienceOn
15 Zitzler, E. and L. Thiele, 'Mutlobjective evolutionary algorithms : A comparative case study and the strength Pareto approach,' IEEE Transactions on Evolutionary Computation, Vol.3, No.4(1999), pp.257-271   DOI   ScienceOn
16 Potter, M.A., 'The design and analysys of a computational model of cooperative coevolution,' Ph.D. dissertation, George Mason University, 1997
17 Zitzler, E., K. Deb, and L. Thiele, 'Comparison of multiobjective evolutionary algorithms: Empirical results,' Evolutionary Computation, Vol.8, No.2(2000), pp.173-195   DOI   ScienceOn
18 Schaffer, J.D., 'Multiple Objective Optimization with Vector Evaluated Genetic Algorithms,' In Genetic Algorithms and their Applications : Proceedings of the First International Conference on Genetic Algorithms, pp.93-100, Lawrence Erlbaum, 1985
19 Tan, K.C., T.H. Lee and E.F. Khor, 'Evolutionary Algorithms for Multi-Objective Optimization : Performance Assessments and Comparison,' Artificial Intelligence Review, Vol.17(2002), pp.253-290
20 Khare, V., X. Yao, and K. Deb, 'Performance Scaling of Multi-objective Evolutionary Algorithms,' Evolutionary Multi-Criterion Optimization. Second International Conference, EMO 2003, Springer. Lecture Notes in Computer Science. Vol. 2632, Faro, Portugal, (April 2003), pp.376-390
21 Laumanns, M., L. Thiele, K. Deb, and E. Zitzler, 'Combining convergence and diversity in evolutionary rnulti-objecitve optimization,' Evolutionary Computation, Vol. 10, No.3(2002), pp.263-282   DOI   ScienceOn
22 Deb, K., S. Agrawal, A. Pratap, and T. Meyarivan, 'A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II,' In M.S. et al.(Ed.), Parallel Problem Solving from Nature-PPSN VI, Berlin, Springer, (2000), pp.849-858
23 김여근, 윤복식, 이상복, 메타휴리스틱, 영지문화사, 1997
24 Kim, Y.K., J.Y. Kim, and Y. Kim, 'An endosymbiotic evolutionary algorithm for the integration of balancing and sequencing in mixed-model U-lines,' European Journal of Operational Research, Vol.168, No.3(2006), pp.838-852   DOI   ScienceOn
25 Deb, K., 'Multi-objective Genetic Algorithms : Problem Difficulties and Construction of Test Problems,' Evolutionary Computation, Vol.7, No.3(1999), pp.205-230   DOI   ScienceOn