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Multi-objective Optimization Algorithm Based on Uniform Design and Differential Evolution

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Artificial Intelligence Algorithms and Applications (ISICA 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1205))

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Abstract

The multi-objective optimization problem is an important research direction in the field of optimization. Because the traditional mathematical programming method often cannot achieve the optimal global solution, the researchers introduced the heuristic method into the multi-objective optimization problem. The heuristic method is a method of searching based on empirical rules, which can get the optimal solution or solution set of problems in the limited search space. In this paper, we proposed a multi-objective evolutionary algorithm based on uniform design and differential evolution, which use the uniform design table to construct the weight vector and utilize the crossover in differential evolution and mutation process to replace the simulated binary intersection and the simulated polynomial variation. Compared with the classical algorithm, the experimental results show that the improved algorithm is superior to the original algorithm.

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References

  1. Anirban, M., Ujjwal, M., Sanghamitra, B., Carlos, A.C.C.: A survey of multi-objective evolutionary algorithms for data mining. IEEE Trans. Evol. Comput. 18(1), 20–35 (2014)

    Article  Google Scholar 

  2. Rosenberg, R.S.: Simulation of genetic populations with biochemical properties. Ph.D. thesis, University of Michigan, Michigan (1967)

    Google Scholar 

  3. Schaffer, J.D.: Multiple objective optimization with vector evaluated genetic algorithms. In: Proceedings of the International Conference on Genetic Algorithms and Their Applications, pp. 93–100. L. Erlbaum Associates, Hillsdale (1985)

    Google Scholar 

  4. Fonseca, C.M., Fleming, P.J.: Genetic algorithm for multi-objective optimization: formulation, discussion and generation. In: Forrest, S., (ed.) Proceedings of the 5th International Conference on Genetic Algorithms, pp. 416–423. Morgan Kauffman Publishers, San Mateo (1993)

    Google Scholar 

  5. Srinivas, N., Deb, K.: Multi-objective optimization using non-dominated sorting in genetic algorithms. Evol. Comput. 2(3), 221–248 (1994)

    Article  Google Scholar 

  6. Horn, J., Nafpliotis, N., Goldberg, D.E.: A niched Pareto genetic algorithm for multi-objective optimization. In: Fogarty, T.C., (ed.) Proceedings of the 1st IEEE Congress on Evolutionary Computation, pp. 82–87. IEEE, Piscataway (1994)

    Google Scholar 

  7. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength Pareto evolutionary algorithm. In: Giannakoglou, K., Tsahalis, D.T., Périaux, J., Papailiou, K.D., Fogarty, T., (eds.) Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems, pp. 95–100. Springer, Berlin (2002)

    Google Scholar 

  8. Knowles, J.D., Corne, D.W.: Approximating the non-dominated front using the Pareto archived evolution strategy. Evol. Comput. 8(2), 149–172 (2000)

    Article  Google Scholar 

  9. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  10. Moore, J., Chapman, R.: Application of particle swarm to multi-objective optimization. In: International Conference on Computer Science and Software Engineering (2003)

    Google Scholar 

  11. Ray, T., Liew, K.M.: A swarm metaphor for multi-objective design optimization. Eng. Optim. 34(2), 141–153 (2002)

    Article  Google Scholar 

  12. Coello, C.C.A., Pulido, G.T., Lechuga, M.S.: Handing multiple objectives with particle swarm optimization. IEEE Trans. Evol. Comput. 8(3), 256–279 (2004)

    Article  Google Scholar 

  13. Coello, C.C.A., Cortes, N.C.: Solving multi-objective optimization problems using an artificial immune system. Genet. Program. Evolv. Mach. 6(2), 163–190 (2005). https://doi.org/10.1007/s10710-005-6164-x

    Article  Google Scholar 

  14. Luh, G.C., Chueh, C.H., Liu, W.: MOIA: multi-objective immune algorithm. Eng. Optim. 35(2), 143–164 (2003)

    Article  MathSciNet  Google Scholar 

  15. Khan, N., Goldberg, D.E., Pelikan, M.: Multi-objective Bayesian optimization algorithm. In: Proceedings of the Genetic and Evolutionary Computation Conference, p. 684. Morgan Kaufmann, New York (2002)

    Google Scholar 

  16. Laumanns, M., Ocenasek, J.: Bayesian optimization algorithms for multi-objective optimization. In: Guervós, J.J.M., Adamidis, P., Beyer, H.-G., Schwefel, H.-P., Fernández-Villacañas, J.-L. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 298–307. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45712-7_29

    Chapter  Google Scholar 

  17. Cai, Z., Wang, Y.: A multi-objective optimization based evolutionary algorithm for constrained optimization. IEEE Trans. Evol. Comput. 10(6), 658–675 (2006)

    Article  Google Scholar 

  18. Li, X.: A non-dominated sorting particle swarm optimizer for multiobjective optimization. In: Cantú-Paz, E., et al. (eds.) GECCO 2003. LNCS, vol. 2723, pp. 37–48. Springer, Heidelberg (2003). https://doi.org/10.1007/3-540-45105-6_4

    Chapter  Google Scholar 

  19. Jiao, L., Gong, M., Shang, R., Du, H., Lu, B.: Clonal Selection with Immune Dominance and Anergy Based Multiobjective Optimization. In: Coello Coello, Carlos A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 474–489. Springer, Heidelberg (2005). https://doi.org/10.1007/978-3-540-31880-4_33

    Chapter  MATH  Google Scholar 

  20. Gong, M.G., Jiao, L.C., Du, H.F., et al.: Multi-objective immune algorithm with non-dominated neighbor-based selection. Evol. Comput. 16(2), 225–255 (2008)

    Article  Google Scholar 

  21. Zhang, Q.F., Zhou, A.M., Jin, Y.: RM-MEDA: a regularity model based multi-objective estimation of distribution algorithm. IEEE Trans. Evol. Comput. 12(1), 41–63 (2007)

    Article  Google Scholar 

  22. Liu, J.: Research on Organizational Coevolutionary Algorithm and its Applications. Ph.D. thesis. Xidian University Xi’an (2004)

    Google Scholar 

  23. Tan, K.C., Yang, Y.J., Goh, C.K.: A distributed cooperative evolutionary algorithm for multi-objective optimization. IEEE Trans. Evol. Comput. 10(5), 527–549 (2006)

    Article  Google Scholar 

  24. Tan, Y., Zhu, Y.: Fireworks algorithm for optimization. In: Tan, Y., Shi, Y., Tan, K.C. (eds.) ICSI 2010. LNCS, vol. 6145, pp. 355–364. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-13495-1_44

    Chapter  Google Scholar 

  25. Zheng, Y.J., Song, Q., Chen, S.Y.: Multi-objective fireworks optimization for variable-rate fertilization in oil crop production. Appl. Soft Comput. 13(11), 4253–4263 (2013)

    Article  Google Scholar 

  26. Xie, C., Xu, L., Xia, X., Wei, B., et al.: Multi-objective fireworks optimization algorithm using elite opposition-based learning. Acta Electronica Sinica 44(5), 1180–1188 (2016)

    Google Scholar 

Download references

Acknowledgement

This work was partially supported by National Natural Science Foundation of China (61902339, 61876136), the China Postdoctoral Science Foundation (2018M633585), Natural Science Basic Research Plan in Shaanxi Province of China (No. 2018JQ6060), and Google Supported Industry-University Cooperation and Education Project, Doctoral Starting up Foundation of Yan’an University (YDBK2019-06).

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Correspondence to Dongjian He .

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He, J., He, D., Shi, A., He, G. (2020). Multi-objective Optimization Algorithm Based on Uniform Design and Differential Evolution. In: Li, K., Li, W., Wang, H., Liu, Y. (eds) Artificial Intelligence Algorithms and Applications. ISICA 2019. Communications in Computer and Information Science, vol 1205. Springer, Singapore. https://doi.org/10.1007/978-981-15-5577-0_14

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  • DOI: https://doi.org/10.1007/978-981-15-5577-0_14

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  • Print ISBN: 978-981-15-5576-3

  • Online ISBN: 978-981-15-5577-0

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