A new coordination model for ill-posed bilevel programming problem
JIA Shihui1,2， WANG Xingqu1
(1.Schonnl of Mathematics and Statistic， Wuhan University of Science and Technology， Wuhan 430081， China；2.Hubei Province Key Laboratory of Systems Science in Matallurgical Process，Wuhan 430081， China)
Abstract：For ill-posed linear bilevel programming problem， how the leader motivate the follower to maximize its own profit is studied. Firstly， a coordination model is presented with its corresponding penalty problem given. Then， under some conditions， the result on the existence of a solution is established and an algorithm is developed to obtain a coordination solution to the original bilevel programming problem. Finally， numerical results show that the proposed method is feasible.
2022, Vol. 56 
