Open Access
Issue
MATEC Web Conf.
Volume 139, 2017
2017 3rd International Conference on Mechanical, Electronic and Information Technology Engineering (ICMITE 2017)
Article Number 00223
Number of page(s) 4
DOI https://doi.org/10.1051/matecconf/201713900223
Published online 05 December 2017
  1. S.H. Chew and Q. Zheng, Integral Global Optimization, Volume 298 of Lecture Notes in Economics and Mathematical Systems, Springer–Verlag, 1988. [CrossRef] [Google Scholar]
  2. L.C.W. Dixon, J. Gomulka and S.E. Herson, “Reflection on global optimization problems”, in Optimization in Action (Dixon, L. C. W. etc. ), Academic Press, New York, pp. 398–435, 1976. [Google Scholar]
  3. R.P. Ge, “A filled function method for finding a global minimizer of a function of several variables, ” Mathematical Programming, vol. 46, pp. 191–204, 1990. [CrossRef] [Google Scholar]
  4. R.P. Ge and Y.F. Qin, “A class of filled functions for finding a global minimizer of a function of several variables, ” Journal of Optimization Theory and Applications, vol. 54, pp. 241–252, 1987. [CrossRef] [Google Scholar]
  5. R.P. Ge and Y.F. Qin, “The globally convexized filled functions for global optimization, ” Applied Mathematics and Computation, vol. 35, pp. 131–158, 1990. [CrossRef] [Google Scholar]
  6. R. Horst, P.M. Pardalos and N.V. Thoai, Introduction to Global Optimization, 2nd edition, Kluwer Academic Publishers, Dordrecht, 2001. [Google Scholar]
  7. R. Horst, N.V. Thoai and H. Tuy, “Outer approximation by polyhedral convex sets, ” Operations Research Spektrum, vol. 9, pp. 153–159, 1987. [CrossRef] [Google Scholar]
  8. A. Levy and A. Montalvo, “The tunneling algorithm for the global minimization of functions, ” SIAM Journal on Scientific and Statistical Computing, vol. 6, pp. 15–29, 1986. [CrossRef] [Google Scholar]
  9. X. Liu, “Finding global minima with a computable filled function, ” Journal of Global Optimization, vol. 19, pp. 151–161, 2001. [CrossRef] [Google Scholar]
  10. H.W. Lin, Y.P. Wang, L. Fan and Y.L. Gao, “A new discrete filled function method for finding global minimizer of the integer programming, ” Applied Mathematics and Computation, vol. 219, pp. 4371–4378, 2013. [CrossRef] [Google Scholar]
  11. H.W. Lin, Y.L. Gao and Y.P. Wang, “A continuously differentiable filled function method for global optimization, ” Numerical Algorithms, vol. 66, pp. 511–523, 2014. [CrossRef] [Google Scholar]
  12. R.E. Moore, Enterbal Analysis, Prentice-Hall, NJ: Englewood Cliffs, 1966. [Google Scholar]
  13. P.M. Pardalos, H.E. Romeijn and H. Tuy, “Recent development and trends in global optimization, ” Journal of Computational and Applied Mathematics, vol. 124, pp. 209–228, 2000. [CrossRef] [Google Scholar]
  14. Z. Wan, L.Y. Yuan and J.W. Chen, “A filled function method for nonlinear systems of equalities and inequalities, ” Computational&Applied Mathematics, vol. 31, pp. 391–405, 2012. [Google Scholar]
  15. W.X. Wang, Y.L. Shang, L.S. Zhang and Y. Zhang, “Global minimization of non-smooth unconstrained problems with filled function, ” Optimization Letters, vol. 7, pp. 435–446, 2013. [CrossRef] [Google Scholar]
  16. F. Wei and Y.P. Wang, “A new filled function method with one parameter for global optimization, ” Mathematical Problems in Engineering, vol. 2013, pp. 1–12, 2013. [Google Scholar]
  17. F. Wei, Y.P. Wang and H.W. Lin, (2014), “A new filled function method with two parameters for global optimization, ” Journal of Optimization Theory and Applications, vol. 163, pp. 510–527, 2014. [CrossRef] [Google Scholar]
  18. Y.J. Yang and Y.L. Shang, “A new filled function method for unconstrained global optimization, ” Applied Mathematicas Computation, vol. 173, pp. 501–512, 2006. [CrossRef] [Google Scholar]
  19. Y.J. Yang, Z.Y. Wu and F.S. Bai, “A filled function method for constrained nonlinear integer programming, ” Journal of Industrial and Management Optimization, vol. 4, pp. 353–362, 2008. [CrossRef] [Google Scholar]
  20. L.Y. Yuan, Z. Wan, J.J. Zhang and B. Sun, “A filled function method for solving nonlinear complementarity problems, ” Journal of Industrial and Management Optimization, vol. 5, pp. 911–928, 2009. [CrossRef] [Google Scholar]
  21. L.Y. Yuan, Z. Wan and Q.H. Tang, “A criterion for an approximation global optimal solution based on the filled functions, ” Journal of Industrial and Management Optimization, vol. 12, pp. 375–387, 2016. [CrossRef] [Google Scholar]
  22. L.S. Zhang, C. NG, D. Li and W. Tian, “A new filled function method for global optimization, ” Journal of Global Optimization, vol. 28, pp. 17–43, 2004. [CrossRef] [Google Scholar]
  23. Q. Zheng and D. Zhuang, “Integral global minimization: Algorithms, implementations and numerical tests, ” Journal of Global Optimization, vol. 7, pp. 421–454, 1995. [CrossRef] [Google Scholar]

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