Abstract
In order to efficiently reduce computational expense as well as manage the diversity and convergence in many-objective optimization, this paper proposes a novel multi-indicator bacterial foraging algorithm with Kriging model (K-MBFA) to guide the search process toward the Pareto front. In the proposed algorithm, a set of preferential individuals for the improved Kriging model are appropriately selected according to the different indicators. Specifically, the stochastic ranking technique is adopted to avoid the search biases of different indicators, which would lead the population to converge to local region of the Pareto front. With several test instances from DTLZ sets with 3, 5, 8 and 10 objectives, K-MBFA is verified to be significantly superior to other compared algorithms in terms of inverted generational distance (IGD).
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References
Gong, Y.-J., Chen, W.-N., Zhang, J., Li, Y., Zhang, Q., et al.: Distributed evolutionary algorithms and their models. Appl. Soft Comput. 34(C), 286–300 (2015)
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)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength pareto evolutionary algorithm (2001)
Zhang, Q., Li, H.: MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)
Deb, K., Jain, H.: An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part i: solving problems with box constraints. IEEE Trans. Evol. Comput. 18(4), 577–601 (2014)
Köppen, M., Yoshida, K.: Substitute distance assignments in NSGA-II for handling many-objective optimization problems. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 727–741. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70928-2_55
Chen, H., Niu, B., Ma, L., Su, W.: Bacterial colony foraging optimization. Neurocomputing 137(2), 268–284 (2014)
Ma, L., Cheng, S., Wang, X., Huang, M., Hai, H., He, X.: Cooperative two-engine multi-objective bee foraging algorithm with reinforcement learning. Knowledge-Based Systems (2017)
Ma, L., Zhu, Y., Zhang, D., Niu, B.: A hybrid approach to artificial bee colony algorithm. Neural Comput. Appl. 27(2), 387–409 (2016)
Zitzler, E., Künzli, S.: Indicator-based selection in multiobjective search. In: Yao, X., et al. (eds.) Parallel Problem Solving from Nature - PPSN VIII, PPSN 2004. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30217-9_84
Li, M., Yang, S., Liu, X.: Shift-based density estimation for pareto-based algorithms in many-objective optimization. IEEE Trans. Evol. Comput. 18(3), 348–365 (2014)
Matheron, G.: Principles of geostatistics. Econ. Geol. 58(8), 1246–1266 (1963)
Rani, R.R., Ramyachitra, D.: Multiple sequence alignment using multi-objective based bacterial foraging optimization algorithm. Biosystems 150, 177 (2016)
Mckay, M.D., Beckman, R.J., Conover, W.J.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2), 239–245 (2000)
Jeong, S., Minemura, Y., Obayashi, S.: Optimization of combustion chamber for diesel engine using Kriging model. JFST 1, 138–146 (2006)
Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13(4), 455–492 (1998)
Acknowledgements
This work is supported by National Natural Science Foundation of China under Grant No. 6177021519 and No. 61503373 and supported by Fundamental Research Funds for the Central University (N161705001), Shenzhen Science and Technology Innovation Committee (ZDSYS201703031748284).
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Wang, R., Chen, S., Ma, L., Cheng, S., Shi, Y. (2018). Multi-indicator Bacterial Foraging Algorithm with Kriging Model for Many-Objective Optimization. In: Tan, Y., Shi, Y., Tang, Q. (eds) Advances in Swarm Intelligence. ICSI 2018. Lecture Notes in Computer Science(), vol 10941. Springer, Cham. https://doi.org/10.1007/978-3-319-93815-8_50
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DOI: https://doi.org/10.1007/978-3-319-93815-8_50
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