Analysis for a particle's trajectory of PSO based on difference equation

Jisuanji Xuebao/Chinese Journal of Computers

Volumn 29, Issue 11, 2006, Pages 2052-2061

  Li, Ning ^a,b   Sun, De Bao ^a   Zou, Tong ^a   Qin, Yuan Qing ^a   Wei, Yu ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b WUHAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Algorithm convergence; Difference equation; Particle swarm optimizer; Stability; Z transform

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; STABILITY; Z TRANSFORMS;

ALGORITHM CONVERGENCE; ALGORITHM EXPLOITATION; CONDITIONAL EXPRESSION; DYNAMIC DISCRETE PROCESS; EXPLORATION ABILITY; GBEST; PARTICLE SWARM OPTIMIZER (PSO); PARTICLE TRAJECTORY; PBEST; PRACTICAL APPLICATION; RANDOMICITY; THEORETICAL GUIDE FORMULAS;

HEURISTIC METHODS;

EID: 33846101693     PISSN: 02544164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Kennedy J., Eberhart R. C.. Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, Perth Australia, 1995, 1942-1948.
2. Eberhart R. C., Shi Y.. Particle swarm optimization: developments, applications and resources. In: Proceedings of the Congress on Evolutionary Computation 2001, Seoul Korea, 2001, 81-86.
3. Ender O., Mohan C. K.. Particle swarm optimization: surfing the waves. In: Proceedings of the 1999 Congress of Evolutionary Computation, Washington DC USA, 1999, 1939-1944.
4. Clerc M., Kennedy J.. The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation, 2002, 6(1): 58-73.
5. Shi Y., Eberhart R. C.. A modified particle swarm optimizer. In: Proceedings of the Congress on Evolutionary Computation 1998, Anchorage AK, USA, 1998, 69-73.
6. Wolpert D. H., Macready W. G.. No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation, 1997, 1(1): 67-82.
7. Holland J.. Adaption in Natural and Artificial System. Ann Arbor: University of Michigan Press, 1975.
8. van den Bergh F.. An analysis of particle swarm optimizers [Ph. D. dissertation]. Department of Computer Science, University of Pretoria, South Africa, 2002.
9. Shi Y., Eberhart R. C.. Fuzzy adaptive particle swarm Optimization. In: Proceedings of the Congress on Evolutionary Computation 2001, Seoul, Korea, 2001, 101-106.