关键词: 教育, 投资, 双层规划, 算法, 最优解

Abstract: The investment problem on high education has bilevel characteristic,where the upper level is provincial government and the lower level are colleges.Under the assumption of omitting the support of self-financing de-veloping funds of colleges,one bilevel programming model for high education optimal investment is given using bilevel programming theory.Some important results including existence and equivalent expression of its optimal solution are discussed.An algorithm to find the optimal solution and its complexity analysis are given also.By us-ing the model established,provincial government as well as colleges can get the optimal investment solutions si-multaneously.Some remarks on methods of establishing the optimal investment models and finding their optimal solutions at two different cases,based on considering self-financing developing funds of colleges,are studied also in this paper.

Key words: education, investment, bilevel programming, algorithm, optimal solution