A globally convergent algorithm for solving bilevel linear programming;

An adaptive genetic algorithm is proposed for solving the bilevel linear programming problem to overcome the difficulty of determining the probabilities of crossover and mutation.

The model of bilevel linear programming which upper lever has without constraint is discussed in this paper,the algorithm which can find all vertexes of the programming is given.

Optimal plane algorithm for the linear bilevel programming problem;

For the linear bilevel programming problem, we propose the definition of the feasibility, and construct the fitness function to use the genetic algorithms to solve the linear bilevel programming problem.

A discussion on the two kinds of definitions of linear bilevel programming solution

A simple but wonderful algorithm for solving the linear bilevel programming by revising the iterative points and using the Frank-Wolf method in nonlinear programming is proposed.

In reference [2], Shi Chenggen gave a new definition of linear bilevel programming (BLP) solution, and drawn the conclusions that the new definition could solve a wider class of problems, and if the constraint region of a linear BLP is nonempty and compact, then there exists a Pareto optimal solution for the linear BLP problem.

A bilevel nonlinear programming algorithm based on chaos optimization;

According to the feature of bilevel programming, combining with chaos optimization algorithm, this paper proposes an effective algorithm to get the almost global solution of a class of bilevel nonlinear programming.

Then make use of the chaos optimization algorithm and particle swarm optimization algorithm to get the global solution of the bilevel nonlinear programming.

A hybrid genetic algorithm for nonlinear bilevel programming;

In this paper,we introduce the multiplier method and the non-monotonic technology,and give an effective algorithm for nonlinear bilevel programming,which is based on the multiplier method and penalty method.

Transmission network determinate bi-level linear programming model considering economy and reliability is established in the paper, reliability problem is added to economy programming problem as constraints in this model, it changes traditional transmission programming building style, and optimizes planning scheme in economy under high reliability constraints.