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The Traveling Salesman and the Quadratic Assignment Problems: Integration, Modeling and Genetic Algorithm

机译:旅行推销员和二次分配问题:集成,建模和遗传算法

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The traveling salesman problem and the quadratic assignment problem are the two of the most commonly studied optimization problems in Operations Research because of their wide applicability. Due to their NP-hard nature, the individual problems are already complex and difficult to solve. In this paper, the two hard problems are integrated together first, that is called the integrated problem of which the complexity is absolutely much higher than that of the individual ones. Not only a complete mathematical model which integrates both the traveling salesman and the quadratic assignment problems together is built, but also a genetic algorithm hybridized with several improved heuristics is developed to tackle the problem.
机译:旅行推销员问题和二次分配问题是由于其广泛适用性,运营研究中最常见的优化问题中的两种。由于他们的NP - 艰难的性质,个人问题已经复杂且难以解决。在本文中,两个难题首先集成在一起,即被称为综合问题,其中复杂性绝对远高于各自的问题。不仅建立了一个完整的数学模型,可以建立与旅行推销员和二次分配问题相结合,而且还开发了一种杂交的遗传算法,以解决问题而杂交以解决问题。

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