Global optimization of signomial geometric programming problems

2014 ◽  
Vol 233 (3) ◽  
pp. 500-510 ◽  
Author(s):  
Gongxian Xu
Keyword(s):  
Global Optimization ◽  
Geometric Programming ◽  
Signomial Geometric Programming

scholarly journals A Global Optimization Algorithm for Signomial Geometric Programming Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xue-Ping Hou ◽  
Pei-Ping Shen ◽  
Yong-Qiang Chen
Keyword(s):  
Linear Programming ◽  
Global Optimization ◽  
Programming Problem ◽  
Optimization Algorithm ◽  
Geometric Programming ◽  
Nonconvex Programming ◽  
Algebraic Manipulation ◽  
Global Optimization Algorithm ◽  
Linear Programming Problems ◽  
Signomial Geometric Programming

This paper presents a global optimization algorithm for solving the signomial geometric programming (SGP) problem. In the algorithm, by the straight forward algebraic manipulation of terms and by utilizing a transformation of variables, the initial nonconvex programming problem (SGP) is first converted into an equivalent monotonic optimization problem and then is reduced to a sequence of linear programming problems, based on the linearizing technique. To improve the computational efficiency of the algorithm, two range reduction operations are combined in the branch and bound procedure. The proposed algorithm is convergent to the global minimum of the (SGP) by means of the subsequent solutions of a series of relaxation linear programming problems. And finally, the numerical results are reported to vindicate the feasibility and effectiveness of the proposed method.

scholarly journals Global optimization of generalized geometric programming

2004 ◽  
Vol 48 (10-11) ◽  
pp. 1505-1516 ◽  
Author(s):  
Yanjun Wang ◽  
Kecun Zhang ◽  
Yuelin Gao
Keyword(s):  
Global Optimization ◽  
Geometric Programming ◽  
Generalized Geometric Programming
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