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A Global Optimization Algorithm for Signomial Geometric Programming Problem
Joint Authors
Hou, Xue-Ping
Shen, Pei-Ping
Chen, Yong-Qiang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hou, Xue-Ping& Shen, Pei-Ping& Chen, Yong-Qiang. 2014. A Global Optimization Algorithm for Signomial Geometric Programming Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033565
Modern Language Association (MLA)
Hou, Xue-Ping…[et al.]. A Global Optimization Algorithm for Signomial Geometric Programming Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033565
American Medical Association (AMA)
Hou, Xue-Ping& Shen, Pei-Ping& Chen, Yong-Qiang. A Global Optimization Algorithm for Signomial Geometric Programming Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033565