Global Optimization for the Sum of Certain Nonlinear Functions
We extend work by Pei-Ping and Gui-Xia, 2007, to a global optimization problem for more general functions. Pei-Ping and Gui-Xia treat the optimization problem for the linear sum of polynomial fractional functions, using a branch and bound approach. We prove that this extension makes possible to sol...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/408918 |
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| _version_ | 1832562955507466240 |
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| author | Mio Horai Hideo Kobayashi Takashi G. Nitta |
| author_facet | Mio Horai Hideo Kobayashi Takashi G. Nitta |
| author_sort | Mio Horai |
| collection | DOAJ |
| description | We extend work by Pei-Ping and Gui-Xia, 2007, to a global optimization problem for more general functions. Pei-Ping and Gui-Xia treat the optimization problem for the linear sum of polynomial fractional functions, using a branch and bound approach. We prove that this extension makes possible to solve the following nonconvex optimization problems which Pei-Ping and Gui-Xia, 2007, cannot solve, that the sum of the positive (or negative) first and second derivatives function with the variable defined by sum of polynomial fractional function by using branch and bound algorithm. |
| format | Article |
| id | doaj-art-76126c26437d4627892322474956b01f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-76126c26437d4627892322474956b01f2025-02-03T01:21:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/408918408918Global Optimization for the Sum of Certain Nonlinear FunctionsMio Horai0Hideo Kobayashi1Takashi G. Nitta2Faculty of Engineering, Graduate School of Engineering, Mie University, Kurimamachiyamachi, Tsu 514-8507, JapanFaculty of Engineering, Graduate School of Engineering, Mie University, Kurimamachiyamachi, Tsu 514-8507, JapanDepartment of Education, Mie University, Kurimamachiyamachi, Tsu 514-8507, JapanWe extend work by Pei-Ping and Gui-Xia, 2007, to a global optimization problem for more general functions. Pei-Ping and Gui-Xia treat the optimization problem for the linear sum of polynomial fractional functions, using a branch and bound approach. We prove that this extension makes possible to solve the following nonconvex optimization problems which Pei-Ping and Gui-Xia, 2007, cannot solve, that the sum of the positive (or negative) first and second derivatives function with the variable defined by sum of polynomial fractional function by using branch and bound algorithm.http://dx.doi.org/10.1155/2014/408918 |
| spellingShingle | Mio Horai Hideo Kobayashi Takashi G. Nitta Global Optimization for the Sum of Certain Nonlinear Functions Abstract and Applied Analysis |
| title | Global Optimization for the Sum of Certain Nonlinear Functions |
| title_full | Global Optimization for the Sum of Certain Nonlinear Functions |
| title_fullStr | Global Optimization for the Sum of Certain Nonlinear Functions |
| title_full_unstemmed | Global Optimization for the Sum of Certain Nonlinear Functions |
| title_short | Global Optimization for the Sum of Certain Nonlinear Functions |
| title_sort | global optimization for the sum of certain nonlinear functions |
| url | http://dx.doi.org/10.1155/2014/408918 |
| work_keys_str_mv | AT miohorai globaloptimizationforthesumofcertainnonlinearfunctions AT hideokobayashi globaloptimizationforthesumofcertainnonlinearfunctions AT takashignitta globaloptimizationforthesumofcertainnonlinearfunctions |