The Particle Swarm Optimization Algorithm with Adaptive Chaos Perturbation

Li Mengxia, Liao Ruiquan, Dong Yong


Aiming at the two characteristics of premature convergence of particle swarm optimization that the particle velocity approaches 0 and particle swarm congregate, this paper learns from the annealing function of the simulated annealing algorithm and adaptively and dynamically adjusts inertia weights according to the velocity information of particles to avoid approaching 0 untimely. This paper uses the good uniformity of Anderson chaotic mapping and performs chaos perturbation to part of particles based on the information of variance of the population’s fitness to avoid the untimely aggregation of particle swarm. The numerical simulations of five test functions are performed and the results are compared with several swarm intelligence heuristic algorithms. The results shows that the modified algorithm can keep the population diversity well in the middle stage of the iterative process and it can improve the mean best of the algorithm and the success rate of search.


Particle Swarm Optimization, inertia weight,population diversity, expected velocity, chaos perturbation

Full Text:



Kennedy J, Eberhart R,(1995); Particle swarm optimization. IEEE Int. Conf. on Neural Networks. Piscataway, NJ. IEEE Service Center, 1942-1948.

Shi Y, Eberhart R C,(1998); A modified particle swarm optimizer. IEEE Int. Conf. on Evolutionary Computation. Piscataway, NJ. IEEE Service Center, 69-73.

Naveed Iqbal, Azzedine Zerguine,Naofal Al-Dhahir,(2014); Decision Feedback Equalization using Particle Swarm Optimization. Signal Processing, 108:1-12.

Manish Mandloi, Vimal Bhatia,(2016); A low-complexity hybrid algorithm based on particle swarm and ant colony optimization for large-MIMO detection. Signal Processing, 50:66-74.

Md Ashiqur Rahmana,Sohel Anwara,Afshin Izadian,(2016); Electrochemical model parameter identification of a lithium-ion battery using particle swarm optimization method.Journal of Power Sources.307, 86-97.

Razieh Sheikhpour,Mehdi Agha Sarrama,Robab Sheikhpour,(2016); Particle swarm optimization for bandwidth determination and feature selection of kernel density estimation based classifiers in diagnosis of breast cancer.Applied Soft Computing, 40113-131.

Yu-Shan Cheng,Man-Tsai Chuang,Yi-Hua Liu,Shun-Chung Wang,Zong-Zhen Yang,(2016); A particle swarm optimization based power dispatch algorithm with roulette wheel re-distribution mechanism for equality constraint.Renewable Energ, 88: 58-72.

Migdat Hodzic, Li-Chou Tai (2016); Grey Predictor reference model for assisting particle swarm optimization for wind turbine contro.Renewable Energ, 86: 251-256

Tao Lin, Peng Wu, Fengmei Gao, Yi Yu, Linhong Wang (2016); Study on SVM temperature compensation of liquid ammonia volumetric flowmeter based on variable weight PSO, International Journal of Heat and Technology , 33(2):151-156.

Shi Y. and Eberhart, R.C. (2001); Fuzzy adaptive particle swarm optimization, IEEE Int. Conf. on Evolutionary Computation.Seoul, Korea, 101-106.

Zhang L., Yu H., Hu S. (2003); A new approach to improve particle swarm optimization, Genetic and Evolutionary Computation Conference 2003. Chicago, IL, USA, 134-142.

Jiang C. W., Etorre B. (2005); A hybrid method of chaotic particle swarm optimization and linear interior for reactive power optimization, Mathematics and Computers in Simulation, 68:57-65.

Chen G.M., Huang X.B.,Jia J Y, Min Z.F.(2006); Natural exponential inertia weight strategy in particle swarm optimization.World Congress on Intelligent Control & Automation, 1: 3672-3675.

Jiao B., Lian Z.G.,Gu X.S.(2008); A dynamic inertia weight particle swarm optimization algorithm.Chaos Solitons & Fractals, 37(3): 698-705.

Zhang Dingxue, Liao Ruiquan,(2009); Adaptive particle swarm optimization algorithm based on population velocity.Control and Decision, 24(8): 1257-1265.

Lv Zhensu, Hou Zhirong (2004); Particle Swarm Optimization with Adaptive Mutation.Acta Electronica sinica, 32(3):416-420.

Zeng Jianchao, Cui Zhihua (2012); Nature Inspired Computation, Beijing, National Defense Industry Press, 252-256.

Kazem A., Sharifi E., Hussain F.K., Saberi M., Hussain O.K. (2013); Support vector regression with chaos-based firefly algorithm for stock market price forecasting, Applied Soft Computing, 13: 947-958.

LIU Huaying, LIN Yue (2006); A Hybrid Particle Swarm Optimization Based on Chaos Strategy to Handle Local Convergence, Computer Engineering and Applications, 42(13):77- 79.

Yang X.S.(2011); Chaos-enhanced firefly algorithm with automatic parameter tuning, International Journal of Swarm Intelligence Research, 2: 1-11.

Lu Y., Liu X.(2011); A new population migration algorithm based on the chaos theory, IEEE 2nd International Symposium on Intelligence Information Processing and Trusted Computing, 147-150.

LV Jinhu, LU Junan, Chen Shihua,(2002); Chaotic time series analysis and its application, Wuhan: Wuhan University press, 87-89.

R. Anderson (1996); Industrial Cryptography, IEEE REV., 118-120.


Copyright (c) 2017 Li Mengxia, Liao Ruiquan, Dong Yong

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2016: IF=1.374. .

IJCCC is indexed in Scopus from 2008 (CiteScore 2017 = 1.04; SNIP2017 = 0.616, SJR2017 =0.326):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.


 Impact Factor in JCR2017 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.29 (Q3). Scopus: CiteScore2017=1.04 (Q2); Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.