A filled function method with one parameter for box constrained global optimization

Applied Mathematics and Computation

Volumn 194, Issue 1, 2007, Pages 54-66

  Wang, Weixiang ^a,d   Shang, Youlin ^b,c   Zhang, Liansheng ^a  

^a SHANGHAI UNIVERSITY   (China)

^b HENAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c TONGJI UNIVERSITY   (China)

^d SHANGHAI SECOND POLYTECHNIC UNIVERSITY   (China)

Author keywords

Box constrained minimization; Filled function method; Global minimizer; Local minimizer

Indexed keywords

ALGORITHMS; CONSTRAINED OPTIMIZATION; FUNCTION EVALUATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

BOX CONSTRAINED MINIMIZATION; FILLED FUNCTION METHOD; GLOBAL MINIMIZERS; LOCAL MINIMIZERS;

GLOBAL OPTIMIZATION;

EID: 35648986693     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.011     Document Type: Article

References (13)

1. Cetin B.C., Barhen J., and Burdick J.W. Terminal repeller unconstrained subenergy tunneling (TRUST) for fast global optimization. Journal of Optimization and Applications 77 (1993) 97-126
2. Ge R.P. A filled function method for finding a global minimizer of a funciton of several variables. Mathematical Programming 46 (1990) 191-204
3. Ge R.P., and Qin Y.F. A class of filled functions for finding global minimizers of a function of several variables. Joural of Optimization Theory and Applications 54 (1987) 241-252
4. Horst R., Pardalos P.M., and Thoai N.V. Introduction to Global Optimization (1995), Kluwer Academic Publishers, Dordrecht
5. Horst R., and Tuy H. Global Optimization: Deterministic Approaches. second ed. (1993), Springer, Heidelberg
6. Kan A.H.G.R., and TIMMER G.T. A Stochastic Approach to Global optimization. In: Boggs P.T., Byrd R.H., and Schnabel R.B. (Eds). Numerical Optimization (1985), SIAM, Philadelphia, Pennsylvania 245-262
7. Pardalos P.M., Romeijn H.E., and Tuy H. Recent development and trends in global otpinmization. Journal of Computational and Applied Mathematics 124 (2000) 209-228
8. Wang X.L., and Zhou G.B. A new filled function for unconstrained global optimization. Applied Mathematics and Computation 174 (2006) 419-429
9. Xu Z., Huang H.X., Pardalos P.M., and Xu C.X. Filled functions for unconstrained global optimization. Journal of Global Optinization 20 (2001) 49-65
10. Yang Y.J., and Shang Y.L. A new filled function method for unconstrained global optimization. Applied Mathematics and Computation 173 (2006) 501-512
11. Yao Y. Dynamic tunneling algorithm for global optimization. IEEE Transactions on Systems, Man and cybernetics 19 (1989) 1222-1230
12. Zhang L.S., NG C.K., Li D., and Tian W.W. A new filled function method for global optimization. Journal of Global Optimization 28 (2004) 17-43
13. Zheng Q., and Zhuang D. Integral golbal minimization: algorithms, implementations and numerical tests. Jounal of Global Optimization 7 (1995) 421-454