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Improved Heuristic Rules for the Price Algorithm of Global Optimization

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Języki publikacji
EN
Abstrakty
EN
The present study is aiming at the determination of the influence of some new heuristic rules and parameters which are proposed to improve the convergence of the Price random search procedure for global optimization. The algorithms are tested for twenty complex problems with multimodal objective functions to get reliable statistical information about the probability to find the global optimum using several heuristic procedures. The following parameters have been investigated: the type of random generator (single or multiple), the number of randomly generated initial points; the distribution of initial points and the number of cluster points. New heuristic rules are proposed for the calculation of new points in the clusters and the selection of the cluster pole. Comparison of the new algorithms is made on the basis of convergence and average number of function evaluations for the problems solved. It is proved that the modified algorithms with new heuristic rules have a better convergence and are more efficient in respect of the average number of function evaluations. The proper number of points in the initial cluster is recommended.
Rocznik
Strony
63--82
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Hamburg University of Technology, 38 Eissendorfer Str., D-21071 Hamburg, Germany,, keil@tu-harburg.de
Bibliografia
  • [1] Box M. J.: A New Method of Constrained Optimization and a Comparison with other Methods, Computer J., Vol. 8, 1965, pp. 42-52.
  • [2] Brachetti P., De Felice Ciccoli M., Di Pillo G., Lucidi S.: A New Version of the Price's Algorithm for Global Optimization, J. Glob. Optim., Vol. 10, 1997, pp. 165-184.
  • [3] Heuckroth M. W., Gaddy J. L., Gains I. D.: An Examination of the Adaptive Random Search Technique. AIChE J., Vol. 22, No 4, 1976, pp. 744-750.
  • [4] Jiao Y.-C., Dang C., Leung Y., Hao Y.: A modification of the New Version of the Price's Algorithm for Continuous Global Optimization Problems, J. Glob. Optim., Vol. 36, 2006, pp. 609-626.
  • [5] Luus R., Jaakola T.H.I.: Optimization by Direct Search and Systematic reduction of the Size of the Search Region, AIChE J., Vol. 19, 1973, pp. 760-766. [6] Michinev I. T., Stoyanov S. K., Keil F. J.: Investigation of Some New Algorithms for Global Optimization, Hung. J. Ind. Chem. Vol. 28, 2000, pp. 231-240.
  • [7] Price W. L.: A Controlled Random Search Procedure for Global Optimization, Report 75-23, University of Leicester, Eng. Dept., Nov., 1975.
  • [8] Spendley W., Hext G., Himsworth F. R.: The sequential Application of Simplex Designs on Optimization and Evolutionary Operations, Technometrics, Vol. 4, 1962, pp. 441-461.
  • [9] Stoyanov S.: Process Optimization, Technika, Sofia, 1993.
  • [10] Wang B. C., Luus R.: Reliability of Optimization Procedures for Obtaining Global Optimum, AIChE J., Vol. 19, 1978, pp. 619-626.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0009-0003
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