Physical theory for particle swarm optimization

Progress in Electromagnetics Research

Volumn 75, Issue , 2007, Pages 171-207

  Mikki, S M ^a   Kishk, A A ^a  

^a The University of Mississippi   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANTENNA ARRAYS; CONVERGENCE OF NUMERICAL METHODS; MARKOV PROCESSES; OPTIMIZATION; PROBABILITY DENSITY FUNCTION; THERMODYNAMICS;

CONVERGENCE BEHAVIOR; INTER-DISCIPLINARY APPROACH; LINEAR ARRAY ANTENNAS; PARTICLE SWARM OPTIMIZATION (PSO);

MOLECULAR DYNAMICS;

EID: 34547245562     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER07051502     Document Type: Article

References (29)

1. Levin, F. S., An Introduction to Quantum Theory, Cambridge University Press, 2002.
2. Sijher, T. S. and A. A. Kishk, "Antenna modeling by infinitesimal dipoles using genetic algorithms," Progress In Electromagnetics Research, PIER 52, 225-254, 2005.
3. Mahanti, G. K., A. Chakrabarty, and S. Das, "Phase-only and amplitude-phase only synthesis of dual-beam pattern linear antenna arrays using floating-point genetic algorithms," Progress In Electromagnetics Research, PIER 68, 247-259, 2007.
4. Meng, Z., "Autonomous genetic algorithm for functional optimization," Progress In Electromagnetics Research, PIER 72, 253-268, 2007.
5. Riabi, M. L., R. Thabet, and M. Belmeguenai, "Rigorous design and efficient optimization of quarter-wave transformers in metallic circular waveguides using the mode-matching method and the genetic algorithm," Progress In Electromagnetics Research, PIER 68, 15-33, 2007.
6. Kennedy, J. and R. C. Eberhart, "Particle swarm optimization," Proc. IEEE, Conf. Neural Networks IV, Piscataway, NJ, 1995.
7. Kenedy, J. and R. C. Eberhart, Swarm Intelligence, Morgan Kaufmann Publishers, 2001.
8. Clerc, M. and J. Kennedy, "The particle swarm: explosion, stability, and convergence in a multi-dimensional complex space," IEEE Trans. Evolutionary Computation, Vol. 6, No. 1, 58-73, Feb. 2002.
9. Kadirkamanathan, V., K. Selvarajah, and P. J. Fleming, "Stability analysis of the particle swarm optimizer," IEEE Trans. Evolutionary Computation, Vol. 10, No. 3, 245-255, June 2006.
10. Ciuprina, G., D. Ioan, and I. Munteanu, "Use of intelligent-particle swarm optimization in electromagnetics," IEEE Trans. Magn., Vol. 38, No. 2, 1037-1040, Mar. 2002.
11. Robinson, J. and Yahya Rahmat-Samii, "Particle swarm optimization in electromagnetics," IEEE Trans. Antennas Progat., Vol. 52, 397-407, Feb. 2004.
12. Boeringer, D. and D. Werner, "Particle swarm optimization versus genetic algorithms for phased array synthesis," IEEE Trans. Antennas Progat., Vol. 52, No. 3, 771-779, Mar. 2004.
13. Sun, J., B. Feng, and W. B. Xu, "Particle swarm optimization with particles having quantum behavior," Proc. Cong. Evolutionary Computation, CEC2004, Vol. 1, 325-331, June 2004.
14. Mikki, S. M. and A. A. Kishk, "Investigation of the quantum particle swarm optimization technique for electromagnetic applications," IEEE Antennas and Propagation Society International Symposium, 45-48, Vol. 2A, July 3-8, 2005.
15. Mikki, S. M. and A. A. Kishk, "Quantum particle swarm optimization for electromagnetics," IEEE Trans. Antennas Progat., Vol. 54, 2764-2775, Oct. 2006.
16. Haile, J. M., Molecular Dynamics Simulation, Wiley, New York, 1992.
17. Schommers, W., "Structures and dynamics of surfaces I," Topics in Current Physics, W. Schommers and P. von Blanckenhagen (eds.), Vol. 41, Springer-Verlag, Berlin, Heidelberg, 1986.
18. Rieth, M., Nano-Engineering in Science and Technology, World Scientific, 2003.
19. Kreyszig, E., Advanced Engineering Mathematics, 8th edition, Wiley, 1999.
20. Papoulis, A., Probability, Random Variables, and Stochastic Processes, 3rd edition, McGraw-Hill, 1991.
21. Penrose, R., The Emperor's New Mind, 1989.
22. Gossick, B. R., Hamilton's Principle and Physical Systems, Academic Press, 1967.
23. Iwasaki, N. and K. Yasuda, "Adaptive particle swarm optimization using velocity feedback," International Journal of Innovative Computing, Information and Control, Vol. 1, No. 3, 369-380, September 2005.
24. Bhattacharyya, A. K., Phased Array Antennas, Wiley-Interscience, 2006.
25. Einestien, A., "On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heat," Ann. Phys. (Leipzig), Vol. 17, 549-560, 1905.
26. Kennedy, J., "Probability and dynamics in the particle swarm," Proc. Cong. Evolutionary Computation, CEC2004, Vol. 1, 340-347, June 19-23, 2004.
27. Nelsson, E., "Derivation of Schrödinger equation from Newtonian mechanics," Phys. Rev., Vol. 150, 1079-1085, 1966.
28. Smolin, L., "Could quantum mechanics be approximation to another theory?" http://arxiv.org/abs/quant-ph/0609109, September 2006.
29. Smolin, L., Life of the Cosmos, Oxford University Press, 1999.