Improved TPX based IAGA for solving hybrid flow-shop scheduling problem with identical parallel machine

Zhu Chang-jian, Zheng Kun, Lian Zhi-Wei, Xu Hui, Feng Xue-Qing, Gu Xin-Yan
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Abstract

The hormone regulation adaptive genetic algorithm based on improved two-point crossover (ITPX) is investigated and applied to a hybrid flow shop scheduling problem with identical parallel machines. Firstly, the hormone regulation mechanism is used to improve the parameter settings of different operators in the genetic algorithm to make it have adaptive regulation capability. Secondly, according to the problems of high redundancy and low efficiency of the traditional two-point crossover (TPX) operation, an exact point taking method is proposed to improve the exploration performance of the TPX operator, while multiple perturbation operations are designed to maintain the diversity characteristics of the variants. Finally, the improved algorithm is tested on the hybrid flow-shop scheduling problem with identical parallel machine. The test results show that the improved algorithm has an average percent deviation of 0.86% in solving the simple problem and 2.79 % in solving the complex problem, both of which are better than the comparable algorithms, verifying the effectiveness of the proposed algorithm.
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基于改进TPX的IAGA求解相同并联机器的混合流水车间调度问题
研究了基于改进两点交叉(ITPX)的激素调节自适应遗传算法,并将其应用于具有相同并行机器的混合流水车间调度问题。首先,利用激素调节机制对遗传算法中不同算子的参数设置进行改进,使其具有自适应调节能力;其次,针对传统两点交叉(two-point crossover, TPX)算法存在冗余度高、效率低的问题,提出了一种精确取点方法来提高TPX算子的搜索性能,同时设计了多重摄动操作来保持变量的多样性特征;最后,对具有相同并行机的混合流车间调度问题进行了验证。实验结果表明,改进算法在解决简单问题时的平均百分比偏差为0.86%,在解决复杂问题时的平均百分比偏差为2.79%,均优于同类算法,验证了本文算法的有效性。
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