86
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Development of an efficient algorithm for global optimization by simplex elimination

&
Pages 607-625 | Received 23 Aug 2002, Accepted 24 Jun 2003, Published online: 12 May 2010

References

  • Arora , J. S. , Elwakeil , O. A. and Chahande , A. I. (1995) . Global optimization methods for engineering applications: A review. . Structural Optimization , 9 : 137 – 159 .
  • Evtushenko , Y. G. (1974) . Methods of search for the global extremum. . Operations Research in Russian , 4 : 39 – 68 .
  • Arora J. S. (1992) Global optimization methods for engineering applications. Technical Report Optimal Design Laboratory, University of Iowa
  • Snyman , J. A. and Fatti , L. P. (1987) . A multi-start global minimization algorithm with dynamic search trajectories. . Journal of Optimization Theory and Applications , 54 ( 1 ) : 121 – 141 .
  • Levy , A. S. and Montalvo , A. (1985) . The tunneling algorithm for global minimization of functions. . SIAM Journal of Sciences and Statistical Computation , 6 : 15 – 29 .
  • Lee , J. B. and Lee , B. C. (1996) . A global optimization algorithm based on the new filled function method and the genetic algorithm. . Engineering Optimization , 27 : 1 – 20 .
  • Price , W. L. (1987) . Global optimization algorithms for a CAD workstation. . Journal of Optimization Theory and Applications , 55 ( 1 ) : 133 – 146 .
  • May , S. A. and Balling , R. J. (1992) . A filtered simulated annealing strategy for discrete optimization of 3D frameworks. . Structural Optimization , 4 : 142 – 148 .
  • Lucidi , S. (1988) . New results on a class of exact augmented Lagrangian. . Journal of Optimization Theory and Applications , 58 ( 2 ) : 259 – 277 .
  • Goldberg , D. E. and Kou , C. H. (1987) . Genetic algorithms in pipeline optimization. . Journal of Computing in Civil Engineering , 1 : 128 – 141 .
  • Glover , F. (1977) . Heuristics for integer programming using surrogate constraints. . Decision Science , 8 : 156 – 166 .
  • Myung , H. and Kim , J. H. (1996) . Hybrid evolutionary programming for heavily constrained problems. . Biosystems , 38 : 29 – 43 .
  • Rinnooy Kan , A. H.G. and Timmer , G. T. (1987) . Stochastic global optimization methods, Part I: Clustering methods . Mathematical Programming , 39 : 27 – 56 .
  • Elwakeil , O. A. and Arora , J. S. (1996) . Two algorithms for global optimization of general NLP problems. . International Journal for Numerical Methods in Engineering , 39 ( 19 ) : 3305 – 3325 .
  • Boender , C. G. E. and Rinnooy Kan , A. H. G. (1987) . Bayesian stopping rules for multi-start global optimization methods. . Mathematical Programming , 37 : 59 – 80 .
  • Vanderplaats G. (1993) DOT User's Manual, Version 4 VMA Engineering

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.