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Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization

Year 2013, Volume: 1 Issue: 1, 8 - 13, 28.02.2013

Abstract

Particle Swarm Optimization (PSO) algorithm inspired from behavior of bird flocking and fish schooling. It is well-known algorithm which has been used in many areas successfully. However it sometimes suffers from premature convergence. In resent year’s researches have been introduced a various approaches to avoid of this problem. This paper presents the particle swarm optimization algorithm with flexible swarm (PSO-FS). The new algorithm was evaluated on 14 functions often used to benchmark the performance of optimization algorithms. PSO-FS algorithm was compared to some other modifications of PSO. The results show that PSO-FS always performed one of the better results.

References

  • Abd-El-Waheda WF., Mousab AA., El-Shorbagy MA (2011). Integrating particle swarm optimization with genetic algorithms for solving nonlinear optimization problems. Journal of Computational and Applied Mathematics 235:1446–1453.
  • Akbari R. Ziarati K (2011). A rank based particle swarm optimization algorithm with dynamic adaptation, Journal of Computational and Applied Mathematics, 235(8):2694–2714.
  • Ali MM., Kaelo P (2008). Improved particle swarm algorithms for global optimization. Applied Mathematics and Computation 196:578–593.
  • Alrashidi MR., El-Hawary ME (2006). A Survey of Particle Swarm Optimization Applications in Power System Operations, Electric Power Components and Systems, 34/12:1349 — 1357.
  • Baskar S., Suganthan PN (2004). A Novel Concurrent Particle Swarm Optimization. Proceedings of the Congress on Evolutionary Computation, 792-796.
  • Blackwell T., Bratton D (2008). Examination of Particle Tails, Journal of Artificial Evolution and Applications, 8:1-10.
  • Bratton D., Kennedy J (2007). Defining a Standard for Particle Swarm Optimization, Proceedings of the 2007 IEEE Swarm Intelligence Symposium.
  • Bratton D. and Blackwell T (2008). A Simplified Recombinant PSO. Journal of Artificial Evolution and Applications, 8:1-10.
  • Chen CC (2011). Two-layer particle swarm optimization for unconstrained optimization problems. Applied Soft Computing, 11(1): 295-304
  • Chen TY., Chi TM (2010). On the improvements of the particle swarm optimization algorithm. Advances in Engineering Software 41:229–239.
  • He S., Wu QH, Wen JY, Saunders JR, Paton RC (2004). A particle swarm optimizer with passive congregation. BioSystems 78:135–147.
  • Jiang Y., Hu T., Huang CC, Wu X (2007). An improved particle swarm optimization algorithm. Applied Mathematics and Computation 193:231–239.
  • Kang Q., Wang L., Wu Q (2008). A novel ecological particle swarm optimization algorithm and its population dynamics analysis. Applied Mathematics and Computation 205:61–72.
  • Kennedy J., Eberhart R (1995). Particle Swarm Optimization, IEEE International Conference on Neural Networks.
  • Kok S., Snyman JA (2008). A Strongly Interacting Dynamic Particle Swarm Optimization Method. Journal of Artificial Evolution and Applications. 28:1-9.
  • Marinakis Y., Marinaki M., Dounias G (2008). Particle swarm optimization for pap-smear diagnosis, Expert Systems with Applications, 35:1645–1656.
  • Pena J., Upegui A., Sanchez E (2006). Particle Swarm Optimization with Discrete Recombination: An Online Optimizer for Evolvable Hardware, Proceedings of the First NASA/ESA Conference on Adaptive Hardware and Systems.
  • Van den Bergh F., Engelbrecht AP (2004). A cooperative approach to particle swarm optimization, IEEE Trans Evolut Comput, 8(3) 225–39.
  • Wang Z., Sun X., Zhang. D (2007). A PSO-Based Classification Rule Mining Algorithm, ICIC 2007, LNAI 4682: 377–384.
  • Zhao Y., Zu W., Zeng H (2009). A modified particle swarm optimization via particle visual modeling analysis, Computers and Mathematics with Applications, 57(11-12):2022-2029.
Year 2013, Volume: 1 Issue: 1, 8 - 13, 28.02.2013

Abstract

References

  • Abd-El-Waheda WF., Mousab AA., El-Shorbagy MA (2011). Integrating particle swarm optimization with genetic algorithms for solving nonlinear optimization problems. Journal of Computational and Applied Mathematics 235:1446–1453.
  • Akbari R. Ziarati K (2011). A rank based particle swarm optimization algorithm with dynamic adaptation, Journal of Computational and Applied Mathematics, 235(8):2694–2714.
  • Ali MM., Kaelo P (2008). Improved particle swarm algorithms for global optimization. Applied Mathematics and Computation 196:578–593.
  • Alrashidi MR., El-Hawary ME (2006). A Survey of Particle Swarm Optimization Applications in Power System Operations, Electric Power Components and Systems, 34/12:1349 — 1357.
  • Baskar S., Suganthan PN (2004). A Novel Concurrent Particle Swarm Optimization. Proceedings of the Congress on Evolutionary Computation, 792-796.
  • Blackwell T., Bratton D (2008). Examination of Particle Tails, Journal of Artificial Evolution and Applications, 8:1-10.
  • Bratton D., Kennedy J (2007). Defining a Standard for Particle Swarm Optimization, Proceedings of the 2007 IEEE Swarm Intelligence Symposium.
  • Bratton D. and Blackwell T (2008). A Simplified Recombinant PSO. Journal of Artificial Evolution and Applications, 8:1-10.
  • Chen CC (2011). Two-layer particle swarm optimization for unconstrained optimization problems. Applied Soft Computing, 11(1): 295-304
  • Chen TY., Chi TM (2010). On the improvements of the particle swarm optimization algorithm. Advances in Engineering Software 41:229–239.
  • He S., Wu QH, Wen JY, Saunders JR, Paton RC (2004). A particle swarm optimizer with passive congregation. BioSystems 78:135–147.
  • Jiang Y., Hu T., Huang CC, Wu X (2007). An improved particle swarm optimization algorithm. Applied Mathematics and Computation 193:231–239.
  • Kang Q., Wang L., Wu Q (2008). A novel ecological particle swarm optimization algorithm and its population dynamics analysis. Applied Mathematics and Computation 205:61–72.
  • Kennedy J., Eberhart R (1995). Particle Swarm Optimization, IEEE International Conference on Neural Networks.
  • Kok S., Snyman JA (2008). A Strongly Interacting Dynamic Particle Swarm Optimization Method. Journal of Artificial Evolution and Applications. 28:1-9.
  • Marinakis Y., Marinaki M., Dounias G (2008). Particle swarm optimization for pap-smear diagnosis, Expert Systems with Applications, 35:1645–1656.
  • Pena J., Upegui A., Sanchez E (2006). Particle Swarm Optimization with Discrete Recombination: An Online Optimizer for Evolvable Hardware, Proceedings of the First NASA/ESA Conference on Adaptive Hardware and Systems.
  • Van den Bergh F., Engelbrecht AP (2004). A cooperative approach to particle swarm optimization, IEEE Trans Evolut Comput, 8(3) 225–39.
  • Wang Z., Sun X., Zhang. D (2007). A PSO-Based Classification Rule Mining Algorithm, ICIC 2007, LNAI 4682: 377–384.
  • Zhao Y., Zu W., Zeng H (2009). A modified particle swarm optimization via particle visual modeling analysis, Computers and Mathematics with Applications, 57(11-12):2022-2029.
There are 20 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Humar Kahramanlı

Novruz Allahverdi

Publication Date February 28, 2013
Published in Issue Year 2013 Volume: 1 Issue: 1

Cite

APA Kahramanlı, H., & Allahverdi, N. (2013). Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization. International Journal of Intelligent Systems and Applications in Engineering, 1(1), 8-13.
AMA Kahramanlı H, Allahverdi N. Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization. International Journal of Intelligent Systems and Applications in Engineering. February 2013;1(1):8-13.
Chicago Kahramanlı, Humar, and Novruz Allahverdi. “Particle Swarm Optimization With Flexible Swarm for Unconstrained Optimization”. International Journal of Intelligent Systems and Applications in Engineering 1, no. 1 (February 2013): 8-13.
EndNote Kahramanlı H, Allahverdi N (February 1, 2013) Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization. International Journal of Intelligent Systems and Applications in Engineering 1 1 8–13.
IEEE H. Kahramanlı and N. Allahverdi, “Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization”, International Journal of Intelligent Systems and Applications in Engineering, vol. 1, no. 1, pp. 8–13, 2013.
ISNAD Kahramanlı, Humar - Allahverdi, Novruz. “Particle Swarm Optimization With Flexible Swarm for Unconstrained Optimization”. International Journal of Intelligent Systems and Applications in Engineering 1/1 (February 2013), 8-13.
JAMA Kahramanlı H, Allahverdi N. Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization. International Journal of Intelligent Systems and Applications in Engineering. 2013;1:8–13.
MLA Kahramanlı, Humar and Novruz Allahverdi. “Particle Swarm Optimization With Flexible Swarm for Unconstrained Optimization”. International Journal of Intelligent Systems and Applications in Engineering, vol. 1, no. 1, 2013, pp. 8-13.
Vancouver Kahramanlı H, Allahverdi N. Particle Swarm Optimization with Flexible Swarm for Unconstrained Optimization. International Journal of Intelligent Systems and Applications in Engineering. 2013;1(1):8-13.