The Kth-best approach for linear bilevel multifollower programming with partial shared variables among followers

Chenggen Shi, Hong Zhou, Jie Lu, Guangquan Zhang, Zhongwei Zhang

Abstract: In a real world bilevel decision-making, the lower level of a bilevel decision usually involves multiple decision units. This paper proposes the Kth-best approach for linear bilevel multifollower programming problems with shared variables among followers. Finally a numeric example is given to show how the Kth-best approach works.