Abstract:

Based on the linear bilevel programming problem with multiple independent  followers and the characteristic of grey system, a grey linear bilevel programming problem with multiple independent followers (GLBMIF) was put forward, and its model was given. We showed that the drifting grey linear bilevel  programming problem with multiple independent followers (GLBMIF(θ)) is 
equivalent to the drifting grey linear bilevel programming problem. An algorithm based on simplex method was developed to solve the GLBMIF (θ). A numerical example shows that the proposed algorithm is feasible and effective.

Key words: linear bilevel programming, grey system, multiple independent followers; , simplex method