Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints
The problem of geometric programming subject to max-product fuzzy relation constraints with discrete variables is studied. The major difficulty in solving this problem comes from nonconvexity caused by these product terms in the general geometric function and the max-product relation constraints. We...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/1610349 |
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| _version_ | 1849405188287234048 |
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| author | Zejian Qin Bingyuan Cao Shu-Cherng Fang Xiao-Peng Yang |
| author_facet | Zejian Qin Bingyuan Cao Shu-Cherng Fang Xiao-Peng Yang |
| author_sort | Zejian Qin |
| collection | DOAJ |
| description | The problem of geometric programming subject to max-product fuzzy relation constraints with discrete variables is studied. The major difficulty in solving this problem comes from nonconvexity caused by these product terms in the general geometric function and the max-product relation constraints. We proposed a 0-1 mixed integer linear programming model and adopted the branch-and-bound scheme to solve the problem. Numerical experiments confirm that the proposed solution method is effective. |
| format | Article |
| id | doaj-art-4526166c0fd446d4aa5f8d346d97924b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4526166c0fd446d4aa5f8d346d97924b2025-08-20T03:36:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/16103491610349Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation ConstraintsZejian Qin0Bingyuan Cao1Shu-Cherng Fang2Xiao-Peng Yang3School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaDepartment of Industrial and System Engineering, North Carolina State University, Raleigh, NC 27695, USADepartment of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, ChinaThe problem of geometric programming subject to max-product fuzzy relation constraints with discrete variables is studied. The major difficulty in solving this problem comes from nonconvexity caused by these product terms in the general geometric function and the max-product relation constraints. We proposed a 0-1 mixed integer linear programming model and adopted the branch-and-bound scheme to solve the problem. Numerical experiments confirm that the proposed solution method is effective.http://dx.doi.org/10.1155/2018/1610349 |
| spellingShingle | Zejian Qin Bingyuan Cao Shu-Cherng Fang Xiao-Peng Yang Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints Discrete Dynamics in Nature and Society |
| title | Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints |
| title_full | Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints |
| title_fullStr | Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints |
| title_full_unstemmed | Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints |
| title_short | Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints |
| title_sort | geometric programming with discrete variables subject to max product fuzzy relation constraints |
| url | http://dx.doi.org/10.1155/2018/1610349 |
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