MULTI-FOLLOWER LINEAR BILEVEL PROGRAMMING: MODEL AND KUHN-TUCKER APPROACH
Jie Lü, Chenggen Shi, Guangquan Zhang, Da Ruan · UTS ePRESS (University of Technology Sydney) · 2005
The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and single follower are involved.This paper proposes a general model and Kuhn-Tucker approach for linear bilevel programming problems in which one leader and multiple follower(s) are involved, and there may (not) be sharing variables among the followers.Finally, a numeric example is given to show how the Kuhn-Tucker approach is applied to solve multi-follower linear bilevel problems.