| Multiple optimal solutions to a sort of nonlinear optimization problem |
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| 作者姓名： | Xue Shengjia Management School Jinan Univ. Guangzhou P. R. China |
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| 作者单位： | Xue Shengjia Management School，Jinan Univ.，Guangzhou 510632，P. R. China |
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| 摘 要： | The optimization problem is considered in which the objective function is pseudolinear（both pseudoconvex and pseudoconcave） and the constraints are linear. The general expression for the optimal solutions to the problem is derived with the representation theorem of polyhedral sets, and the uniqueness condition of the optimal solution and the computational procedures to determine all optimal solutions （if the uniqueness condition is not satisfied ） are provided. Finally, an illustrative example is also given.
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| 关 键 词： | 非线性优化问题 多最优解 多面体集 表示定理 |
Multiple optimal solutions to a sort of nonlinear optimization problem |
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| Xue Shengjia Management School,Jinan Univ.,Guangzhou ,P. R. China.Multiple optimal solutions to a sort of nonlinear optimization problem[J].Journal of Systems Engineering and Electronics,2007,18(1):63-67. |
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| Authors: | Xue Shengjia |
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| Institution: | Management School, Jinan Univ., Guangzhou 510632, P. R. China |
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| Abstract: | The optimization problem is considered in which the objective function is pseudolinear(both pseudoconvex and pseudoconcave) and the constraints are linear. The general expression for the optimal solutions to the problem is derived with the representation theorem of polyhedral sets, and the uniqueness condition of the optimal solution and the computational procedures to determine all optimal solutions (if the uniqueness condition is not satisfied) are provided. Finally, an illustrative example is also given. |
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| Keywords: | Pseudolinear optimization problem Polyhedral set Representation theorem Multiple optimal solutions Convex simplex method |
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