期刊
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
卷 22, 期 2, 页码 263-266出版社
SYSTEMS ENGINEERING & ELECTRONICS, EDITORIAL DEPT
DOI: 10.3969/j.issn.1004-4132.2011.02.012
关键词
bilevel programming; reaction set; optimistic model; pessimistic model; partial cooperation model; cooperation level
类别
资金
- National Natural Science Foundation of China [70771080]
- National Science Foundation of Hubei Province [20091107]
- Hubei Province Key Laboratory of Systems Science in Metallurgical Process [B201003]
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 semi-continuous. 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.
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