Multi-Follower Linear Bilevel Programming: Model and Kuhn-Tucker Approach

Abstract

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.