基于遗传算法的多旅行商问题结构研究

Y. Zhu, Lin Wu
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引用次数: 4

摘要

在多旅行推销员问题中,每个推销员必须穿越一定数量的城市。本文将这些城市的集合视为一个单元。针对典型多旅行推销员模型单元结构研究的不足,提出了一种改进的二次划分模型,该模型可用于复杂拓扑结构的优化。在这些复杂的优化问题中,以热电模块的结构布置为例。将终端电压和内阻之间的平衡作为局部优化准则,并采用遗传算法求解。最后通过对热电模块的高能量转换,证明了改进模型具有良好的适用性。
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Structure Study of Multiple Traveling Salesman Problem using Genetic Algorithm
In the multi-traveling-salesman problem, each salesman must traverse a certain number of cities. The set of these cities is viewed as a unit in this paper. Owing to the shortcomings of the unit structure research in the typical multi-traveling-salesman model, this paper proposes an improved model with quadratic partitioning, which can be applied for the optimization of complex topology structure. Among these complex optimization problems, the structure arrangement of thermoelectric modules is taken as an example. In detail, the equilibrium between terminal voltage and internal resistance is evaluated as the local optimization criterion, and the genetic algorithm is used to solve the problem. The result finally proves that the improved model has excellent applicability by obtaining the high energy conversion of thermoelectric modules.
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