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2018 | OriginalPaper | Buchkapitel

Galactic Gravitational Search Algorithm for Numerical Optimization

verfasst von : Sheng Li, Fenggang Yuan, Yang Yu, Junkai Ji, Yuki Todo, Shangce Gao

Erschienen in: Advances in Swarm Intelligence

Verlag: Springer International Publishing

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Abstract

The gravitational search algorithm (GSA) has proven to be a good optimization algorithm to solve various optimization problems. However, due to the lack of exploration capability, it often traps into local optima when dealing with complex problems. Hence its convergence speed will slow down. A clustering-based learning strategy (CLS) has been applied to GSA to alleviate this situation, which is called galactic gravitational search algorithm (GGSA). The CLS firstly divides the GSA into multiple clusters, and then it applies several learning strategies in each cluster and among clusters separately. By using this method, the main weakness of GSA that easily trapping into local optima can be effectively alleviated. The experimental results confirm the superior performance of GGSA in terms of solution quality and convergence in comparison with GSA and other algorithms.

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Literatur
1.
Zurück zum Zitat Cai, Y., Wang, J., Yin, J.: Learning-enhanced differential evolution for numerical optimization. Soft Comput. 16(2), 303–330 (2012)CrossRef Cai, Y., Wang, J., Yin, J.: Learning-enhanced differential evolution for numerical optimization. Soft Comput. 16(2), 303–330 (2012)CrossRef
2.
Zurück zum Zitat Derrac, J., García, S., Molina, D., Herrera, F.: A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comput. 1(1), 3–18 (2011)CrossRef Derrac, J., García, S., Molina, D., Herrera, F.: A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comput. 1(1), 3–18 (2011)CrossRef
4.
Zurück zum Zitat Gao, S., Todo, Y., Gong, T., Yang, G., Tang, Z.: Graph planarization problem optimization based on triple-valued gravitational search algorithm. IEEJ Trans. Electr. Electron. Eng. 9(1), 39–48 (2014)CrossRef Gao, S., Todo, Y., Gong, T., Yang, G., Tang, Z.: Graph planarization problem optimization based on triple-valued gravitational search algorithm. IEEJ Trans. Electr. Electron. Eng. 9(1), 39–48 (2014)CrossRef
5.
Zurück zum Zitat Gao, S., Vairappan, C., Wang, Y., Cao, Q., Tang, Z.: Gravitational search algorithm combined with chaos for unconstrained numerical optimization. Appl. Math. Comput. 231, 48–62 (2014)MathSciNet Gao, S., Vairappan, C., Wang, Y., Cao, Q., Tang, Z.: Gravitational search algorithm combined with chaos for unconstrained numerical optimization. Appl. Math. Comput. 231, 48–62 (2014)MathSciNet
6.
Zurück zum Zitat Gao, S., Wang, Y., Wang, J., Cheng, J.: Understanding differential evolution: a Poisson law derived from population interaction network. J. Comput. Sci. 21, 140–149 (2017)CrossRef Gao, S., Wang, Y., Wang, J., Cheng, J.: Understanding differential evolution: a Poisson law derived from population interaction network. J. Comput. Sci. 21, 140–149 (2017)CrossRef
7.
Zurück zum Zitat Hartigan, J.A., Wong, M.A.: Algorithm as 136: a k-means clustering algorithm. J. R. Stat. Soc. Ser. C (Appl. Stat.) 28(1), 100–108 (1979)MATH Hartigan, J.A., Wong, M.A.: Algorithm as 136: a k-means clustering algorithm. J. R. Stat. Soc. Ser. C (Appl. Stat.) 28(1), 100–108 (1979)MATH
8.
Zurück zum Zitat Ji, J., Gao, S., Wang, S., Tang, Y., Yu, H., Todo, Y.: Self-adaptive gravitational search algorithm with a modified chaotic local search. IEEE Access 5, 17881–17895 (2017)CrossRef Ji, J., Gao, S., Wang, S., Tang, Y., Yu, H., Todo, Y.: Self-adaptive gravitational search algorithm with a modified chaotic local search. IEEE Access 5, 17881–17895 (2017)CrossRef
9.
Zurück zum Zitat Kanungo, T., Mount, D.M., Netanyahu, N.S., Piatko, C.D., Silverman, R., Wu, A.Y.: An efficient k-means clustering algorithm: analysis and implementation. IEEE Trans. Pattern Anal. Mach. Intell. 24(7), 881–892 (2002)CrossRef Kanungo, T., Mount, D.M., Netanyahu, N.S., Piatko, C.D., Silverman, R., Wu, A.Y.: An efficient k-means clustering algorithm: analysis and implementation. IEEE Trans. Pattern Anal. Mach. Intell. 24(7), 881–892 (2002)CrossRef
10.
Zurück zum Zitat Mirjalili, S., Lewis, A.: The Whale optimization algorithm. Adv. Eng. Softw. 95, 51–67 (2016)CrossRef Mirjalili, S., Lewis, A.: The Whale optimization algorithm. Adv. Eng. Softw. 95, 51–67 (2016)CrossRef
11.
Zurück zum Zitat Rashedi, E., Nezamabadi-Pour, H., Saryazdi, S.: GSA: a gravitational search algorithm. Inf. Sci. 179(13), 2232–2248 (2009)CrossRef Rashedi, E., Nezamabadi-Pour, H., Saryazdi, S.: GSA: a gravitational search algorithm. Inf. Sci. 179(13), 2232–2248 (2009)CrossRef
12.
Zurück zum Zitat Song, Z., Gao, S., Yu, Y., Sun, J., Todo, Y.: Multiple chaos embedded gravitational search algorithm. IEICE Trans. Inf. Syst. 100(4), 888–900 (2017)CrossRef Song, Z., Gao, S., Yu, Y., Sun, J., Todo, Y.: Multiple chaos embedded gravitational search algorithm. IEICE Trans. Inf. Syst. 100(4), 888–900 (2017)CrossRef
13.
Zurück zum Zitat Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y.P., Auger, A., Tiwari, S.: Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. KanGAL report 2005005 (2005) Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y.P., Auger, A., Tiwari, S.: Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. KanGAL report 2005005 (2005)
15.
Zurück zum Zitat Yang, X.S.: Nature-Inspired Optimization Algorithms. Elsevier, Amsterdam (2014)MATH Yang, X.S.: Nature-Inspired Optimization Algorithms. Elsevier, Amsterdam (2014)MATH
16.
Zurück zum Zitat Yao, X., Liu, Y., Lin, G.: Evolutionary programming made faster. IEEE Trans. Evol. Comput. 3(2), 82–102 (1999)CrossRef Yao, X., Liu, Y., Lin, G.: Evolutionary programming made faster. IEEE Trans. Evol. Comput. 3(2), 82–102 (1999)CrossRef
17.
Zurück zum Zitat Yu, H., Xu, Z., Gao, S., Wang, Y., Todo, Y.: PMPSO: a near-optimal graph planarization algorithm using probability model based particle swarm optimization. In: IEEE International Conference on Progress in Informatics and Computing (PIC), pp. 15–19. IEEE (2015) Yu, H., Xu, Z., Gao, S., Wang, Y., Todo, Y.: PMPSO: a near-optimal graph planarization algorithm using probability model based particle swarm optimization. In: IEEE International Conference on Progress in Informatics and Computing (PIC), pp. 15–19. IEEE (2015)
Metadaten
Titel
Galactic Gravitational Search Algorithm for Numerical Optimization
verfasst von
Sheng Li
Fenggang Yuan
Yang Yu
Junkai Ji
Yuki Todo
Shangce Gao
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-93815-8_38

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