改进进化规划算法及其在订货计划优化中的应用研究

Yong WANG , Gang ZHANG , Pei-chann CHANG
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引用次数: 8

摘要

具有高斯变异算子的进化规划具有早熟收敛性。主要原因是高斯突变算子产生的突变值很小,个体和个体本身的每个变量都可能不发生突变。本文从变异算子、个体对手值计算和搜索空间三个方面对EP算法进行了改进。首先,用改进的离散余弦变换算子代替高斯突变算子,该算子能产生较大的突变值;应用动态比例突变公式可以动态调整个体内各分量的值,多个体竞争策略大大增加了解空间内的搜索次数。其次,提出了复杂订货业务模型。最后,利用改进的EP算法、带高斯变异算子的EP算法和Matlab中的随机变异算子对排序方案进行优化。仿真实验结果表明,改进算法的求解精度优于其他算法。结果表明,改进算法有效地解决了算法过早收敛的问题。
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Improved Evolutionary Programming Algorithm and Its Application Research on the Optimization of Ordering Plan

Evolutionary programming (EP) with Gauss mutation operator has premature convergence. The main reason is that mutation value produced by Gauss mutation operator is so small that every variable in individual and individual itself may not be mutation. This research improved EP algorithm in three aspects of mutation operator, computation of individual opponent value, and search space. First, Gauss mutation operator is replaced with the improved discrete cosine-transformation operator which can produce a large value of mutation. Application of the formula of dynamic and proportional mutation can adjust every component value dynamically in individual, and the strategy of multiindividual competition enlarges the number of searches greatly within the solution space. Second, a model of complicate ordering business is proposed. Finally, the ordering plan is optimized by using the improved EP algorithm, EP with Gauss mutation operator and random mutation operator in Matlab. The result of simulated experiment shows that precision of the solution using the improved algorithm is demonstrated better than other algorithms. As a result, the improved algorithm has effectively solved the problem of premature convergence.

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