COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES
The optimization problems of binary functions widely exist in many practical engineering problems,their global optimization methods have always been one of the hot research issues. A high effective method of global optimization to nonnegative binary functions was put forward basing on the maximum mo...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2018-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.020 |
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| author | ZHANG Jing SHI WenPu |
| author_facet | ZHANG Jing SHI WenPu |
| author_sort | ZHANG Jing |
| collection | DOAJ |
| description | The optimization problems of binary functions widely exist in many practical engineering problems,their global optimization methods have always been one of the hot research issues. A high effective method of global optimization to nonnegative binary functions was put forward basing on the maximum modulus theorem of the analytic function of complex function,this method can simplify the optimization problem of the object function on a two-dimension bounded area as an one-dimension global optimization problem,the theory basis for the optimization method was given,and three numerical examples were given to show the effectiveness of the method. On one hand,the conclusions obtained in this paper can be directly used to solve the optimization problem in which the analytic function theory could be used,on the other hand,it can be used to obtain the global optimization solutions of the two-dimension mathematical optimization problems in which the method could be used in a high precision and high effective manner. |
| format | Article |
| id | doaj-art-2f84b36f16334d1db35e7987f05a7eaf |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2018-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-2f84b36f16334d1db35e7987f05a7eaf2025-01-15T02:32:55ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692018-01-014011111630600907COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLESZHANG JingSHI WenPuThe optimization problems of binary functions widely exist in many practical engineering problems,their global optimization methods have always been one of the hot research issues. A high effective method of global optimization to nonnegative binary functions was put forward basing on the maximum modulus theorem of the analytic function of complex function,this method can simplify the optimization problem of the object function on a two-dimension bounded area as an one-dimension global optimization problem,the theory basis for the optimization method was given,and three numerical examples were given to show the effectiveness of the method. On one hand,the conclusions obtained in this paper can be directly used to solve the optimization problem in which the analytic function theory could be used,on the other hand,it can be used to obtain the global optimization solutions of the two-dimension mathematical optimization problems in which the method could be used in a high precision and high effective manner.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.020Optimization of non-negative two-dimension functionMaximumComplex function methodOne-dimension optimization |
| spellingShingle | ZHANG Jing SHI WenPu COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES Jixie qiangdu Optimization of non-negative two-dimension function Maximum Complex function method One-dimension optimization |
| title | COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES |
| title_full | COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES |
| title_fullStr | COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES |
| title_full_unstemmed | COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES |
| title_short | COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES |
| title_sort | complex method of seeking the maximum of non negative function of two variables |
| topic | Optimization of non-negative two-dimension function Maximum Complex function method One-dimension optimization |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.01.020 |
| work_keys_str_mv | AT zhangjing complexmethodofseekingthemaximumofnonnegativefunctionoftwovariables AT shiwenpu complexmethodofseekingthemaximumofnonnegativefunctionoftwovariables |