Research on Ant Colony Optimization With Tabu Search Ability

Li Xu
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Abstract

TSP (traveling salesman problem) is a classical problem in combinatorial optimization. It's not totally solved; the route number and the number of cities has increased exponentially, so we couldn't find the best solution easily. This paper does a lot research of tabu search (TS) besides AA and proposes a new algorithm. Making use of TS's advantages, the new proposed algorithm's performance is meliorated. Firstly, aiming at solving AA's slow convergence, the authors increase the pheromone of the best route, decrease the pheromone of the worst route, to increase the conductive ability of the pheromone to the algorithm. Secondly, aiming at solving AA's being premature, this paper introduces TS into AS's every iteration. The TS can help the algorithm find a better solution. So, the new algorithm's convergence speed is quickened, and its performance is improved. At last, this paper applied the algorithm to the traveling salesman problem to test its performances. The simulation results show that the new algorithm could find optimum solutions more effectively in time and quantity.
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具有禁忌搜索能力的蚁群优化算法研究
旅行商问题(TSP)是组合优化中的一个经典问题。这还没有完全解决;线路数量和城市数量呈指数级增长,因此我们不容易找到最佳解决方案。本文在对禁忌搜索进行深入研究的基础上,提出了一种新的禁忌搜索算法。利用TS的优点,改进了算法的性能。首先,针对AA算法收敛缓慢的问题,增加最佳路径的信息素,降低最差路径的信息素,增加信息素对算法的传导能力。其次,针对AA的不成熟,在AS的每次迭代中引入TS。TS可以帮助算法找到更好的解。从而加快了算法的收敛速度,提高了算法的性能。最后,将该算法应用于旅行商问题,验证了算法的性能。仿真结果表明,新算法能在时间和数量上更有效地找到最优解。
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