Nonlinear integer bilevel programming

DOI10.1016/0377-2217(94)90424-3zbMath0824.90097OpenAlexW2159004366MaRDI QIDQ1328581

Maw-Sheng Chern, Rong-Hong Jan

Publication date: 26 July 1994

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(94)90424-3

zbMATH Keywords

multi-level programmingseparable integer monotone bilevel programming problemssequence of objective functions

Mathematics Subject Classification ID

Integer programming (90C10) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Hierarchical systems (93A13)

Related Items

Solving discrete linear bilevel optimization problems using the optimal value reformulation ⋮ Competitive facility location problem with attractiveness adjustment of the follower: a bilevel programming model and its solution ⋮ Global solution of nonlinear mixed-integer bilevel programs ⋮ Integrating link-based discrete credit charging scheme into discrete network design problem ⋮ Discretization-based algorithms for generalized semi-infinite and bilevel programs with coupling equality constraints ⋮ Optimization problems for machine learning: a survey ⋮ Bilevel programming with discrete lower level problems ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Unnamed Item
• Unnamed Item
• Parametric nonlinear integer programming: The right-hand side case
• A sequential LCP method for bilevel linear programming
• Algorithms for solving the mixed integer two-level linear programming problem
• An Efficient Point Algorithm for a Linear Two-Stage Optimization Problem
• Optimality conditions for the bilevel programming problem
• Reliability Optimization by Generalized Lagrangian-Function and Reduced-Gradient Methods
• A Representation and Economic Interpretation of a Two-Level Programming Problem
• On two-level optimization
• Two-Level Linear Programming
• The Mixed Integer Linear Bilevel Programming Problem