CTSP问题稳态小生境算法的研究及仿真实现

提出了一种求解中国旅行商问题(CTSP)的稳态小生境遗传算法SNGA。SNGA算法在稳态遗传算法的基础上采用物种保存小生境替换策略,在改善算法的在线性能、离线性能和计算量的同时,有效的维持了群体的多样性,从而可避免群体出现早熟现象,增强群体在进化后期产生优良模式的能力。在具体实现中,SNGA算法采用链表染色体编码,这样就可以对染色体进行快速的基本遗传算子以及倒位算子的遗传操作,进一步提高算法的实现性能。此外采用C 语言和基于COM的MapObjects组件技术实现了基于上述算法的仿真软件GISCTSP,并对国家基础地理信息系统(NFGIS)1400万中国行政中心数据文件res1_4m进行了仿真分析。     

最优化问题的蚁群混合差分进化算法研究

 在最优化问题求解中,针对采用混合差分进化算法中突变运算的不同选择产生结果存在较大差异,同时提高算法收敛速度与避免早熟,提出在混合差分进化法中,使用蚁群算法进行选择适当的突变运算,加速搜寻全局解,并通过中国旅行商问题的求解表明其有效性。     

Two-Level Genetic Algorithm for Clustered Traveling Salesman Problem with Application in Large-Scale TSPs

Let G = (V, E) be a complete undirected graph with vertex set V, edge set E, and edge weights l(e) satisfying the triangle inequality. The vertex set V is partitioned into clusters V1, V2, …, Vk. The clustered traveling salesman problem (CTSP) seeks to compute the shortest Hamiltonian tour that visits all the verti- ces, in which the vertices of each cluster are visited consecutively. A two-level genetic algorithm (TLGA) was developed for the problem, which favors neither intra-cluster paths nor inter-cluster paths, thus realized inte- grated evolutionary optimization for both levels of the CTSP. Results show that the algorithm is more effec- tive than known algorithms. A large-scale traveling salesman problem (TSP) can be converted into a CTSP by clustering so that it can then be solved by the algorithm. Test results demonstrate that the clustering TLGA for large TSPs is more effective and efficient than the classical genetic algorithm.