Abstract
As a population-based random search optimization technique, particle swarm optimization (PSO) has become an important branch of swarm intelligence (SI). To utilizing the advantage of operations in different SI, this study proposed a hybrid of multi-crossover operation and adaptive differential evolution with optional external archive (JADE), named PSOJADE, to balance the global and local search capabilities. In the experiments, the proposed algorithm is compared with six other advanced differential evolution (DE), PSO, and hybrid of DE and PSO techniques using 30 benchmark functions in CEC2017. To evaluate the effectiveness of the proposed PSOJADE more comprehensively, the experiments were implemented on 10-D, 30-D, and 50-D respectively. The experimental results indicate that the proposed algorithm yields better solution accuracy than the other techniques on 10-D, 30-D, and 50-D meanwhile.

Similar content being viewed by others
References
Awad NH, Ali MZ, Liang JJ, Qu BY, Suganthan PN (2016) Problem Definitions and Evaluation Criteria for the CEC 2017 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization, Technical Report, Nanyang Technological University, Jordan University of Science and Technology, Zhengzhou University
Chang W-D (Oct. 2007) A multi-crossover genetic approach to multivariable PID controllers tuning. Expert Syst Appl 33(3):620–626
Derrac J, García S, Molina D, Herrera F (2011) 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
Juang C-F (Apr. 2004) A hybrid of genetic algorithm and particle swarm optimization for recurrent network design. IEEE T on Syst Man Cy B 34(2):997–1006
Kao Y-T, Zahara E (Mar. 2008) A hybrid genetic algorithm and particle swarm optimization for multimodal functions. Appl Soft Comput 8(2):849–857
Kennedy J (1999) Small worlds and mega-minds: Effects of neighborhood topology on particle swarm performance, in Proc. IEEE Congress on Evolutionary Computation (CEC), pp. 1391–1938
Kennedy J, Eberhart R (1995) Particle swarm optimization, in Proc. IEEE Int. Conf. Neural Netw., Perth, WA, Australia, vol. 4, pp. 1942–1948
Li Z, Wang W, Yan Y, Li Z (2015) PS-ABC: A hybrid algorithm based on particle swarm and artificial bee colony for high-dimensional optimization problems. Expert Syst Appl 42(22):8881–8895
Lim WH, Isa NAM (Jul. 2014) An adaptive two-layer particle swarm optimization with elitist learning strategy. Inf Sci 273:49–72
Lin G-H, Zhang J, Liu Z-H (2016) Hybrid particle swarm optimization with differential evolution for numerical and engineering optimization, Intl. J Aut. Comput., First Online, Jun
Mahmoodabadi MJ, Mottaghi ZS, Bagheri A (Jul. 2014) HEPSO: High exploration particle swarm optimization. Inf Sci 273:101–111
Mandloi M, Bhatia V (May 2016) A low-complexity hybrid algorithm based on particle swarm and ant colony optimization for large-MIMO detection. Expert Syst Appl 50:66–74
Marinakis Y, Migdalas A, Sifaleras A (2017) A hybrid particle swarm optimization – variable neighborhood search algorithm for constrained shortest path problems. Eur J Oper Res 261:819–834
Meng A, Chen Y, Yin H, Chen S (Sept. 2014) Crisscross optimization algorithm and its application. Knowl-Based Syst 67:218–229
Meng A, Li Z, Yin H, Chen S, Guo Z (Feb. 2016) Accelerating particle swarm optimization using crisscross search. Inf Sci 329:52–72
Nguyen TT, Li ZY, Zhang SW, Truong TK (2014) A hybrid algorithm based on particle swarm and chemical reaction optimization. Expert Syst Appl 41(5):2134–2143
Nwankwor E, Nagar AK, Reid DC (Apr. 2013) Hybrid differential evolution and particle swarm optimization for optimal well placement. Comput Geosci 17(2):249–268
Shelokar PS, Siarry P, Jayaraman VK, Kulkarni BD (May 2007) Particle swarm and ant colony algorithms hybridized for improved continuous optimization. Appl Math Comput 188(1):129–142
Singh N, Arya R, Agrawal RK (Apr. 2014) A novel approach to combine features for salient object detection using constrained particle swarm optimization. Pattern Recogn 47(4):1731–1739
Soleimani H, Kannan G (Jul. 2015) A hybrid particle swarm optimization and genetic algorithm for closed-loop supply chain network design in large-scale networks. Appl Math Model 39(14):3990–4012
Storn R, Price KV (1995) Differential evolution: a simple and efficient adaptive scheme for global optimization over continuous spaces, in Proc. ICSI, USA, Tech. Rep. TR-95-012
Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359
Tanabe R, Fukunaga A (2013) Success-history based parameter adaptation for differential evolution, in Proc. IEEE Congress on Evolutionary Computation (CEC), pp. 71–78
Wang S-C, Yeh M-F (2014) A modified particle swarm optimization for aggregate production planning. Expert Syst Appl 41(6):3069–3077
Wu G, Qiu D, Yu Y, Pedrycz W, Ma M, Li H (2014) Superior solution guided particle swarm optimization combined with local search techniques. Expert Syst Appl 41(16):7536–7548
Wua G, Mallipeddib R, Suganthanc PN, Wang R, Chen H (2016) Differential evolution with multi-population based ensemble of mutation strategies. Inf Sci 329:329–345
Yu X, Cao J, Shan H, Zhu L, Guo J (2014) An adaptive hybrid algorithm based on particle swarm optimization and differential evolution for global optimization, the Scientific World Journal, vol. Article ID 215472, 16 pages
Zhang J, Sanderson AC (2009) JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13(5):945–958
Zhang W-J, Xie X-F (2003) DEPSO: Hybrid particle swarm with differential evolution operator, in Proc IEEE Int Conf Syst Man Cy, vol. 4, pp. 3816–3821
Acknowledgments
This work was supported by a grant from the Shandong Provincial Natural Science Foundation, China (Grant nos. ZR2017MF067 and 2016GGX101022).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Du, SY., Liu, ZG. Hybridizing Particle Swarm Optimization with JADE for continuous optimization. Multimed Tools Appl 79, 4619–4636 (2020). https://doi.org/10.1007/s11042-019-08142-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-019-08142-7