基于遗传算法系统可靠性分配优化模型

An Optimization Model of System Reliability Apportion Based on Genetic Algorithms

系统可靠性分配是一个复合最优化问题.传统的用于解决此类问题的方法,如拉格朗日乘子法、动态规划法、直接寻查法等,在系统级数较大的情况下存在着计算量大、难以获取全局最优解等问题.针对此问题,在给出有约束条件下系统可靠性分配模型的基础上,构造了遗传算法(genetic algorithms, GA),并利用该算法进行计算机仿真.从仿真结果中可看出:所构造的GA算法应用于系统可靠性分配的组合优化问题中收到了较好的效果,能够得到全局最优解.

The reliability apportion of the system is a problem for complicated optimization. Traditionally, such kind of problem is solved by using the methods such as Lagrange multiplet, Dynamic programming, Direct searching and so on. But under the circumstances of the great series of the system, problems such as heavy computing load and difficult to acquire the best answer of the whole are raised. Aiming at these problems, based on the reliability apportion model of the system under some restricted conditions, the GA algorithms is constructed. By putting this algorithms into the practice of the given example through computer simulation, a better result of the problem is acquired, then finally the best answer of the whole is reached.