Details

Autor(en) / Beteiligte

• Calvete, Herminia I.
• Galé, Carmen

Titel

Linear bilevel multi-follower programming with independent followers

Ist Teil von

• Journal of global optimization, 2007-11, Vol.39 (3), p.409-417

Ort / Verlag

Dordrecht: Springer Nature B.V

Erscheinungsjahr

2007

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This paper considers a particular case of linear bilevel programming problems with one leader and multiple followers. In this model, the followers are independent, meaning that the objective function and the set of constraints of each follower only include the leader's variables and his own variables. We prove that this problem can be reformulated into a linear bilevel problem with one leader and one follower by defining an adequate second level objective function and constraint region. In the second part of the paper we show that the results on the optimality of the linear bilevel problem with multiple independent followers presented in Shi et al. [The kth-best approach for linear bilevel multi-follower programming, J. Global Optim. 33, 563-578 (2005)] are based on a misconstruction of the inducible region. [PUBLICATION ABSTRACT]