Deterministic solution approach for some classes of nonlinear multilevel programs with multiple followers
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Publication:1675573
DOI10.1007/s10898-017-0502-4zbMath1377.65065OpenAlexW2589255290MaRDI QIDQ1675573
Semu Mitiku Kassa, Abay Molla Kassa
Publication date: 2 November 2017
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-017-0502-4
parametric optimizationnumerical exampleNash equilibriumhierarchical decisionmultilevel programs with multiple followersmultilevel programs with single follower
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Hierarchical games (including Stackelberg games) (91A65) Sensitivity, stability, parametric optimization (90C31)
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Cites Work
- Unnamed Item
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- A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints
- An interior point technique for solving bilevel programming problems
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Introduction to sensitivity and stability analysis in nonlinear programming
- Jointly constrained bilinear programs and related problems: An overview
- A multi-parametric programming approach for multilevel hierarchical and decentralised optimisation problems
- Convex two-level optimization
- Stackelberg-Nash equilibrium for multilevel programming with multiple followers using genetic algorithms
- The computational complexity of multi-level linear programs
- Practical bilevel optimization. Algorithms and applications
- Bilevel and multilevel programming: A bibliography review
- A Stackelberg network game with a large number of followers
- Foundations of bilevel programming
- \(\alpha BB\): A global optimization method for general constrained nonconvex problems
- Linear bilevel multi-follower programming with independent followers
- Parametric global optimisation for bilevel programming
- Approximate solution algorithm for multi-parametric non-convex programming problems with polyhedral constraints
- Feasible direction method for bilevel programming problem
- A multi-parametric programming algorithm for special classes of non-convex multilevel optimization problems
- Optimality conditions for the bilevel programming problem
- New Branch-and-Bound Rules for Linear Bilevel Programming
- Sensitivity analysis for nonlinear programming using penalty methods
- A necessary and a sufficient optimality condition for bilevel programming problems
- Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
- Optimality conditions and an algorithm for linear-quadratic bilevel programs$fr1:1$f:1partially supported by nsfc and madis. this paper was prepared during the first author's visiting universitat de barcelona. he is grateful to the financial support provided by universitat de barcelona. the authors are very grateful to the referees for their valuable suggestions and comments
- Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
- An algorithm for the solution of multiparametric mixed integer linear programming problems
- Global optimization of nonlinear bilevel programming problems
