| 一类优化问题的分解算法 |
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| 引用本文： | 邢进生.一类优化问题的分解算法[J].控制与决策,2010,25(1). |
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| 作者姓名： | 邢进生 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西,临汾,041004 |
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| 基金项目： | 国家自然科学基金项目(60574060);;山西省自然科学基金项目(2006011039) |
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| 摘 要： | 讨论一类大规模系统的优化问题，提出一种递阶优化方法．该方法首先将原问题转化为多目标优化问题，证明了原问题的最优解在多目标优化问题的非劣解集中，给出了从多目标优化问题的解集中挑出原问题最优解的算法，建立了算法的理论基础．仿真结果验证了算法的有效性．
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| 关 键 词： | 大系统 分解协调算法 多目标优化 |
| 收稿时间： | 2009-2-20 |
| 修稿时间： | 2009-6-9 |
Decomposition algorithm on a class of optimization problems |
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| XING Jin-sheng.Decomposition algorithm on a class of optimization problems[J].Control and Decision,2010,25(1). |
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| Authors: | XING Jin-sheng |
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| Affiliation: | School of Mathematics and Computer Science/a>;Shanxi Nomal University/a>;Linfen 041004/a>;China |
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| Abstract: | The optimization problem for a class of large-scale systems is considered.A hierarchical optimization method is proposed,which converts the original problem into multi-objective optimization problem.It is proved that the optimal solution of the original nonseparable problem is in the set of solutions of multi-objective optimization problem.An algorithm is given,which can select out the optimal solution of the original nonseparable optimization problem from the set of solutions of multiobjective optimization... |
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| Keywords: | Large scale system Decomposion-coordinating principle algorithm Multi-objective optimization |
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