New partial cooperation model for bilevel programming problems

查看全文 作　　者：Shihui [1,2,3]Jia;Zhongping [1]Wan;Yuqiang [2]Feng;Guangmin [2]Wang

机构地区：[1]School of Mathematics and Statistic, Wuhan University, Wuhan 430072, P. R. China;[2]Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, P. R. China;[3]Mathematics Department, College of Sciences, Wuhan University of Science and Technology, Wuhan 430081, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》索引2011年第22卷第2期,共4页

基　　金：supported by the National Natural Science Foundationof China (70771080);the National Science Foundation of Hubei Province(20091107);Hubei Province Key Laboratory of Systems Science in Metallurgical Process (B201003) 摘　　要：Partial cooperation models are studied for many years to solve the bilevel programming problems where the follower’s optimal reaction is not unique. However, in these existed models, the follower’s cooperation level does not depend on the leader’s decision. A new model is proposed to solve this deficiency. It is proved the feasibility of the new model when the reaction set of the lower level is lower semicontinuous. And the numerical results show that the new model has optimal solutions when the reaction set of the lower level is discrete, lower semi-continuous and non-lower semi-continuous. 关键词：合作模式规划问题下半连续数值结果反应领导者模型设置

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New partial cooperation model for bilevel programming problems

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