Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients
Quadratic programming with interval coefficients developed to overcome cases in classic quadratic programming where the coefficient value is unknown and must be estimated. This paper discusses the extension of Wolfe method. The extended Wolfe method can be used to solve quadratic programming with in...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/9037857 |
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| _version_ | 1850221217659748352 |
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| author | Syaripuddin Herry Suprajitno Fatmawati |
| author_facet | Syaripuddin Herry Suprajitno Fatmawati |
| author_sort | Syaripuddin |
| collection | DOAJ |
| description | Quadratic programming with interval coefficients developed to overcome cases in classic quadratic programming where the coefficient value is unknown and must be estimated. This paper discusses the extension of Wolfe method. The extended Wolfe method can be used to solve quadratic programming with interval coefficients. The extension process of Wolfe method involves the transformation of the quadratic programming with interval coefficients model into linear programming with interval coefficients model. The next step is transforming linear programming with interval coefficients model into two classic linear programming models with special characteristics, namely, the optimum best and the worst optimum problem. |
| format | Article |
| id | doaj-art-70b7e8f930644cf28e58a5f63adbd580 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-70b7e8f930644cf28e58a5f63adbd5802025-08-20T02:06:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/90378579037857Extension of Wolfe Method for Solving Quadratic Programming with Interval CoefficientsSyaripuddin0Herry Suprajitno1Fatmawati2Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Kampus Gunung Kelua, Jl. Barong Tongkok, Samarinda 1068, IndonesiaDepartment of Mathematics, Faculty of Science and Technology, Airlangga University, Kampus C Unair, Jl. Mulyorejo, Surabaya 60115, IndonesiaDepartment of Mathematics, Faculty of Science and Technology, Airlangga University, Kampus C Unair, Jl. Mulyorejo, Surabaya 60115, IndonesiaQuadratic programming with interval coefficients developed to overcome cases in classic quadratic programming where the coefficient value is unknown and must be estimated. This paper discusses the extension of Wolfe method. The extended Wolfe method can be used to solve quadratic programming with interval coefficients. The extension process of Wolfe method involves the transformation of the quadratic programming with interval coefficients model into linear programming with interval coefficients model. The next step is transforming linear programming with interval coefficients model into two classic linear programming models with special characteristics, namely, the optimum best and the worst optimum problem.http://dx.doi.org/10.1155/2017/9037857 |
| spellingShingle | Syaripuddin Herry Suprajitno Fatmawati Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients Journal of Applied Mathematics |
| title | Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients |
| title_full | Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients |
| title_fullStr | Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients |
| title_full_unstemmed | Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients |
| title_short | Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients |
| title_sort | extension of wolfe method for solving quadratic programming with interval coefficients |
| url | http://dx.doi.org/10.1155/2017/9037857 |
| work_keys_str_mv | AT syaripuddin extensionofwolfemethodforsolvingquadraticprogrammingwithintervalcoefficients AT herrysuprajitno extensionofwolfemethodforsolvingquadraticprogrammingwithintervalcoefficients AT fatmawati extensionofwolfemethodforsolvingquadraticprogrammingwithintervalcoefficients |