Minimization of Keane's Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods
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SK Mishra
Department of Economics
NEHU, Shillong (India)

The author is thankful to Dr. Kenneth L Judd of the Hoover Institution, Stanford University, USA for sending the paper of Hacker et al. (2002) that led to the present work on optimization of Keane’s function, and his constructive suggestions to consider odd and oddly spaced dimensions, etc.


References

  • Emmerich, MTM: Single- and Multi-objective Evolutionary Design Optimization Assisted by Gaussian Random Field Metamodels, Dissertation for Doctoral Degree in Natural Sciences, University of Dortmund, Dortmund. 2005.
  • Hacker, KA, Eddy, J and Lewis, KE: "Efficient Global Optimization using Hybrid Genetic Algorithms," in 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, Georgia, 4-6 September 2002.
  • Keane, AJ:"Bump: A Hard(?) Problem " http://www.soton.ac.uk/~ajk/bump.html, 1994.
  • Keane, AJ: "Experiences with optimizers in structural design," in Parmee, IC (ed) Proceedings of the 1st Conf. on Adaptive Computing in Engineering Design and Control, University of Plymouth, UK, pp. 14-27, 1994.
  • Liu, P and Lewis, MJ: "Communication Aspects of an Asynchronous Parallel Evolutionary Algorithm", Proceedings of the Third International Conference on Communications in Computing (CIC 2002), pp. 190-195, Las Vegas, NV, June 24-27, 2002. http://grid.cs.binghamton.edu/papers/LiuAPEAComm_CIC.pdf
  • Mishra, SK (a): "Global Optimization by Particle Swarm Method: A Fortran Program" (August 1, 2006). Available at SSRN: http://ssrn.com/abstract=921504
  • Mishra, SK (b): "Global Optimization by Differential Evolution and Particle Swarm Methods: Evaluation on Some Benchmark Functions" (September 30, 2006). Available at SSRN: http://ssrn.com/abstract=933827
  • Mishra, SK (c): "Performance of Differential Evolution and Particle Swarm Methods on Some Relatively Harder Multi-Modal Benchmark Functions" (October 13, 2006). Available at SSRN: http://ssrn.com/abstract=937147
  • Ong, YS and Keane, AJ: "Meta-Lamarckian Learning in Memetic Algorithms" http://ntu-cg.ntu.edu.sg/ysong/journal/IEEE_EC_Ysong2003.pdf, 2003.
  • Ong, YS, Lim, MH, Zhu, N and Wong, KW: "Classification of Adaptive Memetic Algorithms: A Comparative Study", Un-dated (possibly written in 2005) working paper,http://ntu-cg.ntu.edu.sg/ysong/journal/AdaptiveMA.pdf

Contact: mishrasknehu@yahoo.com

The author is thankful to Dr. Kenneth L Judd of the Hoover Institution, Stanford University, USA for sending the paper of Hacker et al. (2002) that led to the present work on optimization of Keane's function, and his constructive suggestions to consider odd and oddly spaced dimensions, etc.


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