Nie, P.-Y. (2005) A Note on Bilevel Optimization Problems. International Journal of Applied Mathematical Sciences, 2, 31-38.

has been cited by the following article:

• TITLE: Solving Quasiconcave Bilevel Programming Problem

  AUTHORS: Dahande Balme, Laure Pauline Fotso

  KEYWORDS: Bilevel Multiobjective Programming Problem, Quasiconcave Bilevel Programming Problem, Efficient Set

  JOURNAL NAME: American Journal of Operations Research, Vol.7 No.2, March 31, 2017

  ABSTRACT: In this paper, we find the solution of a quasiconcave bilevel programming problem (QCBPP). After formulating a Bilevel Multiobjective Programming Problem (BMPP), we characterize its leader objective function and its feasible set. We show some necessary and sufficient conditions to establish a convex union of set of efficient point, an efficient set at the QCBPP. Based on this result, we formulate and solve a new QCBPP. Finally, we illustrate our approach with a numerical example.