On Quasi E-Convex Bilevel Programming Problem

On calmness conditions in convex bilevel programming

In this article, we compare two different calmness conditions which are widely used in the literature on bilevel programming and on mathematical programs with equilibrium constraints. In order to do so, we consider convex bilevel programming as a kind of intersection between both research areas. The so-called partial calmness concept is based on the function value approach for describing the lo...

Genetic Algorithm for Solving Convex Quadratic Bilevel Programming Problem∗

This paper presents a genetic algorithm method for solving convex quadratic bilevel programming problem. Bilevel programming problems arise when one optimization problem, the upper problem, is constrained by another optimization, the lower problem. In this paper, the bilevel convex quadratic problem is transformed into a single level problem by applying Kuhn-Tucker conditions, and then an effic...

Study of Convex Quadratic Bilevel Programming Problem Orthogonal Genetic Algorithm

This paper introduces the research status of convex quadratic bilevel programming at present firstly. Secondly, it analyzes the problem of convex quadratic bilevel programming models, concepts and properties. On this basis, using the optimality conditions of KKT, the problem will be transformed into a single complementary slackness relaxation problem. To solve this problem, we propose an orthog...

Simulated Annealing Approach for Solving Bilevel Programming Problem

Bilevel programming, a tool for modeling decentralized decision problems, consists of the objective of the leader at its first level and that of the follower at the second level. Bilevel programming has been proved to be an Np-hard problem. Numerous algorithms have been developed for solving bilevel programming problems. These algorithms lack the required efficiency for solving a real problem. ...

Solving multi objective linear Bilevel multi follower programming problem