| 优先发展策略下的高等教育最优投资双层规划模型 |
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| 引用本文： | 李霞,左连翠. 优先发展策略下的高等教育最优投资双层规划模型[J]. 山东大学学报(理学版), 2004, 39(5): 34-42 |
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| 作者姓名： | 李霞 左连翠 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 山东省“十五”规划重点课题资助项目 ( 0 1BZJ0 7)，山东省“五个一”工程重点项目 |
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| 摘 要： | 高等教育投资具有“双层”的特点，上层为主管部门，下层为高等学校．分析了优先发展策略下高等教育最优投资的层次及步骤，分别建立了保证优先发展学校最优投资和用剩余资金对全部学校无差别最优投资双层规划模型，给出了上、下层最优投资方案的确定方法．通过扩大可行解范围，将双层规划模型转换为单层线性规划模型，证明了两者最优解的等价性，设计了求得模型最优解的多项式算法，最后给出了应用举例．
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| 关 键 词： | 优先发展 教育投资 双层规划 算法 最优解 |
| 文章编号： | 1671-9352(2004)05-0034-08 |
| 修稿时间： | 2003-09-16 |
High education optimal investment bilevel programming models on the strategy of prior development |
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| LI Xia , ZUO Lian-cui. High education optimal investment bilevel programming models on the strategy of prior development[J]. Journal of Shandong University, 2004, 39(5): 34-42 |
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| Authors: | LI Xia & ZUO Lian-cui |
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| Abstract: | The investment problem on high education has bilevel characteristic, where the upper level is governing department and the lower level are colleges. The hierarchy and procedure of high education optimal investment on the strategy of prior development were analyzed. The optimal investment bilevel programming models of prior development colleges as well as that of indiscriminate investment in all colleges are established respectively. The optimal investment scheme of both upper and lower level was given. By enlarge the feasible solution bound, the bilevel programming models could be conversed into monolayer linear programming ones, and their optimal solutions are proved to be equivalent. An efficient multinomial algorithm is designed for solving the optimal solution and an applied example is given in the end. |
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| Keywords: | prior development education investment bilevel programming algorithm optimal solution |
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