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A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem
Joint Authors
Shen, Pei-Ping
Yang, Lin-Peng
Pei, Yong-Gang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper presents a global optimization algorithm for solving globally the generalized nonlinear multiplicative programming (MP) with a nonconvex constraint set.
The algorithm uses a branch and bound scheme based on an equivalently reverse convex programming problem.
As a result, in the computation procedure the main work is solving a series of linear programs that do not grow in size from iterations to iterations.
Further several key strategies are proposed to enhance solution production, and some of them can be used to solve a general reverse convex programming problem.
Numerical results show that the computational efficiency is improved obviously by using these strategies.
American Psychological Association (APA)
Yang, Lin-Peng& Shen, Pei-Ping& Pei, Yong-Gang. 2014. A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033902
Modern Language Association (MLA)
Yang, Lin-Peng…[et al.]. A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033902
American Medical Association (AMA)
Yang, Lin-Peng& Shen, Pei-Ping& Pei, Yong-Gang. A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033902