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This work deals with a class of nonlinear bilevel programming problems with nonconvex objective functions, in which the follower objective is a function of linear expression of all variables and the follower constraints are linear. For the leader functions, there are no any restrictions on the convexity as well as the differentiability. The distinguished feature of the problem is the nonconvexity...
The multiobjective bilevel linear programming (MBLP) is a hierarchical optimization problem involving two levels, and at least one level has multiple objectives. This paper mainly studies a special kind of MBLP with one objective at the lower level. With primal and dual theory, the lower level problem is transformed into a part of constraints of the upper level problem, then by handling the feasible...
The paper focuses on a special nonlinear bilevel programming problem (BLPP), and its characteristic is that the follower's programming is convex and quadratic, whereas there are no any additional requirements for the leader's functions. In order to solve the complex problem efficiently, it is first converted into an equivalent single-level programming by using Karush-Kuhn-Tucher (K-K-T) conditions,...
For nonlinear bi-level programming problems in which the follower's problem is linear, the paper develops a genetic algorithm based on a mixed encoding technique. At first, each individual consists of two parts, the first part is the leader's variable values using real-encoding, whereas the second one is the sequence number of basic variables of the follower's programming, which are some integers...
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