A Genetic Algorithm for a Class of Fractional Bilevel Programming Problems with Interval Coefficients
Abstract: For a class of bilevel programming problems, in which the upper-level problem is an interval coef-ficients fractional program, whereas the lower-level problem is linear, a genetic algorithm based on four fitness functions is presented. Firstly, four certain programs can be gotten by taking up-per-lower bounds of the coefficient intervals of the upper level objective. In addition, using the characteristics of the four problems and the optimality conditions of linear programming, a genetic algorithm which takes four objective functions as evaluation is designed, and the best and the worst optimal solutions can be obtained by using the proposed algorithm. Finally, the simulation results show that the proposed algorithm is feasible and efficient.
文章引用: 郭晓芳 , 李向东 (2015) 一类带区间系数的分式双层规划问题的遗传算法。 应用数学进展， 4， 63-69. doi: 10.12677/AAM.2015.41008
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