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系统可靠性冗余优化设计涉及到非线性约束的非线性整数规划问题的求解,对算法的高效性、准确性有很高要求。针对GAG1启发式算法和现有粒子群算法在求取最优解时的局限性,结合二者的特点,提出了二者联合算法。文中最后对一并串联系统建立优化模型,根据3种算法分别编写Matlab程序并进行计算,算例结果表明了联合算法的有效性、准确性。
The system reliability redundancy optimization design involves the solution of non-linear constrained nonlinear integer programming problem, which has high requirements on the efficiency and accuracy of the algorithm. Aiming at the limitation of GAG1 heuristic algorithm and the existing particle swarm optimization in obtaining the optimal solution, combined with the characteristics of the two, a joint algorithm is proposed. In the last part of this paper, an optimization model is set up for the parallel system. The Matlab program is compiled and calculated according to the three algorithms respectively. The results show the effectiveness and accuracy of the joint algorithm.