Journal
INFORMATION TECHNOLOGY APPLICATIONS IN INDUSTRY II, PTS 1-4
Volume 411-414, Issue -, Pages 1943-+Publisher
TRANS TECH PUBLICATIONS LTD
DOI: 10.4028/www.scientific.net/AMM.411-414.1943
Keywords
Ill-posed bilevel programming; Coordination model; Penalty method
Funding
- National Science Foundation of China [11226226,71171150]
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This paper studied the leader how to motivate the follower to maximize its interests for ill-posed linear bilevel programming problem. We first presented a coordination model and gived its corresponding penalty problem. Under some conditions, we established the result on the existence of the solution. Then, an algorithm was developed to obtain a coordination solution to the original bilevel programming problem. Finally, numerical results show that the proposed method is feasible.
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