Skip to main content
Log in

An improved cooperative quantum-behaved particle swarm optimization

  • Original Paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

Particle swarm optimization (PSO) is a population-based stochastic optimization. Its parameters are easy to control, and it operates easily. But, the particle swarm optimization is a local convergence algorithm. Quantum-behaved particle swarm optimization (QPSO) overcomes this shortcoming, and outperforms original PSO. Based on classical QPSO, cooperative quantum-behaved particle swarm optimization (CQPSO) is present. This CQPSO, a particle firstly obtaining several individuals using Monte Carlo method and these individuals cooperate between them. In the experiments, five benchmark functions and six composition functions are used to test the performance of CQPSO. The results show that CQPSO performs much better than the other improved QPSO in terms of the quality of solution and computational cost.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Clerc M (2004) Discrete particle swarm optimization. In: New optimization techniques in engineering. Springer, Berlin

  • Coelho LDS, Mariani VC (2008) Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for economic load dispatch with valve-point effects. Energy Convers Manag 49(11):3080–3085

    Article  Google Scholar 

  • dos Santos Coelho L (2008) A quantum particle swarm optimizer with chaotic mutation operator. Chaos, Solitons Fractals 37(5):1409–1418

    Article  Google Scholar 

  • Fang W, Sun J, Xu WB (2009) A new mutated quantum-behaved particle swarm optimizer for digital IIR filter design. EURASIP J Adv Signal Process 1–7

  • Fang W, Sun J, Ding YR, Wu XJ et al (2010a) A review of quantum-behaved particle swarm optimization. IETE Tech Rev 27(4):336–348

    Article  Google Scholar 

  • Fang W, Sun J, Xu WB (2010b) Convergence analysis of quantum-behaved particle swarm optimization algorithm and study on its control parameter. Acta Physica Sinica 59(6):28–36

    Google Scholar 

  • Gao H, Xu WB, Sun J et al (2010) Multilevel thresholding for image segmentation through an improved quantum-behaved particle swarm algorithm. IEEE Trans Instrum Meas 59:934–946

    Article  Google Scholar 

  • Huang Z, Wang YJ, Yang CJ (2009) A new improved quantum-behaved particle swarm optimization model. In: IEEE conference on industrial electronics and applications, Xi’an, May 25–27, pp 1560–1564

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural network, pp 1942–1948

  • Lu SF, Sun CF, Lu ZD (2010) An improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling. Energy Convers Manag 51(3):561–571

    Article  MathSciNet  Google Scholar 

  • Marchildon L (2009) Does quantum mechanics need interpretation? In: International conference on quantum, nano and micro technologies. Los Alamitos, California, February 01–07, pp 11–16

  • Mikki SM, Kishk AA (2005) Investigation of the quantum particle swarm optimization technique for electromagnetic applications. In: IEEE antennas and propagation society international symposium, vol 2A, July 3–8, pp 45–48

  • Omkar SN, Khandelwal R, Ananth TVS et al (2009) Quantum behaved Particle Swarm Optimization (QPSO) for multi-objective design optimization of composite structures. Expert Syst Appl 36(8):11312–11322

    Article  Google Scholar 

  • Pat A, Hota AR (2010) An improved quantum-behaved particle swarm optimization using fitness-weighted preferential recombination. In: 2010 Second World Congress on Nature and Biologically Inspired Computing, in Kitakyushu, Fukuoka, Japan, Dec. 15–17, pp 709–714

  • Sabat SL, dos Santos Coelho L, Abraham A (2009) MESFET DC model parameter extraction using quantum particle swarm optimization. Microelectron Reliab 49(6):660–666

    Article  Google Scholar 

  • Shi YH, Eberhart RC (1998) A modified particle swarm optimizer. In: IEEE international conference on evolutionary computation, Anchorage, Alaska, May 4–9, pp 1945–1950

  • Suganthan PN, Hansen N, Liang JJ et al (2005) Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization, Technical Report, Nanyang Technological University, Singapore. http://www.ntu.edu.sg/home/EPNSugan

  • Sun J, Feng B, Xu WB (2004) Particle swarm optimization with particles having quantum behavior. In: IEEE proceeding of congress on evolutionary computation, pp 325–331

  • Sun J, Xu WB, Feng B (2004) A global search strategy of quantum-behaved particle swarm optimization. In: Cybernetics and intelligent systems proceedings of the 2004 IEEE conference, pp 111–116

  • Sun J, Xu WB, Liu J (2005) Parameter selection of quantum-behaved particle swarm optimization. In: International conference on advances in natural computation 2005, Lecture Notes in Computer Science, vol 3612, pp 543–552

  • Sun J, Xu WB, Feng B (2005) Adaptive parameter control for quantum-behaved particle swarm optimization on individual level. In: Proceedings of IEEE international conference on systems, man and cybernetics, Big Island, HI, USA, pp 3049–3054

  • Sun J, Fang W, Xu WB (2010a) A quantum-behaved particle swarm optimization with diversity-guided mutation for the design of two-dimensional IIR digital filters. IEEE Trans Circuits Syst II 56(2):141–145

    Article  Google Scholar 

  • Sun J, Wu XJ, Fang W, Ding YR et al (2010) Multiple sequence alignment using the Hidden Markov Model trained by an improved quantum-behaved particle swarm optimization, Information Sciences, In Press, Corrected Proof, Available online 18 November 2010

  • Xi ML, Sun J, Xu WB (2008) An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position. Appl Math Comput 205(2):751–759

    Article  MATH  Google Scholar 

  • Yang J, Xie JH (2010) An improved quantum-behaved particle swarm optimization algorithm. In: 2010 2nd international Asia conference on informatics in control, automation and robotics, pp 159–162

  • Yang SX, Yao X (2008) Population-based incremental learning with associative memory for dynamic environments. IEEE Trans Evol Comput 12(5):542–561

    Article  Google Scholar 

  • Zheng YL, Ma LH, Zhang LY (2003) Empirical study of particle swarm optimizer with an increasing inertia weight. In: Proceedings of IEEE congress on evolutionary computation, Canbella, Australia, pp 221–226

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61001202 and 60803098), the Provincial Natural Science Foundation of Shaanxi of China (Nos. 2009JQ8015, 2010JM8030 and 2010JQ8023), the China Postdoctoral Science Foundation Funded Project (Nos. 20080431228, 20090461283 and 20090451369), the China Postdoctoral Science Foundation Special Funded Project (No. 200801426), the Fundamental Research Funds for the Central Universities (Nos. JY10000902040, JY10000902039, JY10000903007 and K50510020011), and the Fund for Foreign Scholars in University Research and Teaching Programs (the 111 Project) (No. B07048).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yangyang Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Y., Xiang, R., Jiao, L. et al. An improved cooperative quantum-behaved particle swarm optimization. Soft Comput 16, 1061–1069 (2012). https://doi.org/10.1007/s00500-012-0803-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-012-0803-y

Keywords

Navigation