Xian-Jia Wang

Genetic Algorithm for Solving Convex Quadratic Bilevel Programming Problem

  • Zhong-Hua An
  • Zhong-Ping Wan
  • Guang-Min Wang
  • Xian-Jia Wang
    • Categories Nonlinear Optimization Tags , ,

    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 … Read more

    Solving Method for a Class of Bilevel Linear Programming based on Genetic Algorithms

  • Zhong-Ping Wan
  • Guang-Min Wang
  • Xian-Jia Wang
    • Categories Linear, Cone and Semidefinite Programming, Multi-Criteria Optimization, Nonlinear Optimization Tags , ,

    The paper studies and designs an genetic algorithm (GA) of the bilevel linear programming problem (BLPP) by constructing the fitness function of the upper-level programming problem based on the definition of the feasible degree. This GA avoids the use of penalty function to deal with the constraints, by changing the randomly generated initial population into … Read more