目前关于旅行商问题的启发式算法主要分为两类:环路构造算法和环路改进算法。通过对两类近似算法的深入研究,提出了一种新的方法——简化模型法来求解旅行商问题。该方法通过排序和选择操作得到原网络图的简化模型,对简化模型中的路径进行重构得到旅行商问题的解。通过测试TSPLIB中的实例,表明用简化模型法求解旅行商问题解的质量高、收敛快,时耗小,该算法是实用的。
The main heuristic algorithm for TSP falls into two classes:tour construction algorithms and tour improvement algorithms.Through research on the two kinds of approximate algorithms of TSP and in order to solve TSP,we propose a new algorithm called simplified model--the new SModel,which is formed by sorting and selecting the initial network.The new algorithm generates a global tour by reconstructing all paths in SModel.By testing the instances of TSPLIB,the paper demonstrates that the proposed algorithm is feasible,time-saving and practical.