A Grey Linear Bilevel Programming Problem with Multiple Independent Followers and Its Algorithm
Guo Ya-jun · Journal of Jilin University(Science Edition) · 2011
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.