A deterministic global optimization algorithm for generalized geometric programming

Applied Mathematics and Computation

Volumn 168, Issue 1, 2005, Pages 722-737

  Wang, Yanjun ^a   Liang, Zhian ^a  

^a SHANGHAI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER PROGRAMMING; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; GLOBAL OPTIMIZATION; LINEAR PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

CUTTING-PLANE METHOD; GENERALIZED GEOMETRIC PROGRAMMING (GGP); NON-CONVEX PROBLEMS; REVERSE CONVEX PROGRAMMING (RCP);

COMPUTATIONAL GEOMETRY;

EID: 25644459852     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.142     Document Type: Article

References (18)

1. M. Avriel, and A.C. Williams An extension of geometric programming with applications in engineering optimization Journal of Engineering Mathematics 5 3 1971 187 199
2. T.R. Jefferson, and C.H. Scott Generalized geometric programming applied to problems of optimal control: I. Theory JOTA 26 1978 117 129
3. K.J. Nand Geometric programming based robot control design Computers and Industrial Engineering 29 1-4 1995 631 635
4. K. Das, T.K. Roy, and M. Maiti Multi-item inventory model with under imprecise objective and restrictions: a geometric programming approach Production Planning & Control 11 8 2000 781 788
5. C. Jae Chul, and L. Bricker Dennis Effectiveness of a geometric programming algorithm for optimization of machining economics models Computers & Operations Research 23 10 1996 957 961
6. H. EI Barmi, and R.L. Dykstra Restricted multinomial maximum likelihood estimation based upon Fenchel duality Statistics and Probability Letters 21 1994 121 130
7. D.L. Bricker, K.O. Kortanek, L. Xu, Maximum likelihood estimates with order restrictions on probabilities and odds ratios: A geometric programming aproach, Applied Mathematical and Computational Sciences, The University of IA, Iowa City, IA 52242, 1995.
8. R. Jagannathan A stochastic geometric programming problem with multiplicative recourse Operations Research Letters 9 1990 99 104
9. A.I. Sönmez, A. Baykasoglu, T. Dereli, and I.H. Filiz Dynamic optimization of multipass milling operations via geometric programming International Journal of Machine Tools and Manufacture 39 1999 297 320
10. C.H. Scott, and T.R. Jefferson Allocation of resources in project management International Journal on Systems Science 26 1995 413 420
11. C.D. Maranas, and C.A. Floudas Global optimization in generalized geometric programming Computers and Chemical Engineering 21 4 1997 351 369
12. M.J. Rijckaert, and X.M. Martens Analysis and optimization of the Williams-Otto process by geometric programming AIChE Journal 20 4 1974 742 750
13. U. Passy Generalized weighted mean programming SIAM Journal on Applied Mathematics 20 1971 763 778
14. U. Passy, and D.J. Wilde Generalized polynomial optimization Journal on Applied Mathematics 15 5 1967 1344 1356
15. K.O. Kortanek, X. Xu, and Y. Ye An infeasible interior-point algorithm for solving primal and dual geometric programs Mathematical Programming 76 1996 155 181
16. R.J. Duffin, and E.L. Peterson Geometric programming with signomial Journal of Optimization Theory and Applications 11 1 1973 3 35
17. R. Horst, and H. Tuy Global optimization, deterministic approaches 1990 Springer-Verlag Berlin
18. K. Zhang Geometric programming and optimal design 1990 Xi'an Jiaotong University publishing house China