一类带区间系数的分式双层规划问题的遗传算法
A Genetic Algorithm for a Class of Fractional Bilevel Programming Problems with Interval Coefficients
作者: 郭晓芳 , 李向东 ：青海师范大学数学系，青海 西宁;
关键词: 区间系数； 分式双层规划； 遗传算法； 最优性条件； 最优解； Interval Coefficients； Fractional Bilevel Programming； Genetic Algorithm； Optimality Condition； Optimal Solutions
摘要: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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