As a typical representative of the NP-complete problem, the traveling salesman problem(TSP) is widely utilized in computer networks, logistics distribution, and other fields. In this paper, a discrete lion swarm optim...As a typical representative of the NP-complete problem, the traveling salesman problem(TSP) is widely utilized in computer networks, logistics distribution, and other fields. In this paper, a discrete lion swarm optimization(DLSO) algorithm is proposed to solve the TSP. Firstly, we introduce discrete coding and order crossover operators in DLSO. Secondly, we use the complete 2-opt(C2-opt) algorithm to enhance the local search ability.Then in order to enhance the efficiency of the algorithm, a parallel discrete lion swarm optimization(PDLSO) algorithm is proposed.The PDLSO has multiple populations, and each sub-population independently runs the DLSO algorithm in parallel. We use the ring topology to transfer information between sub-populations. Experiments on some benchmarks TSP problems show that the DLSO algorithm has a better accuracy than other algorithms, and the PDLSO algorithm can effectively shorten the running time.展开更多
旅行商问题(Traveling Salesman Problem TSP)是一个典型的组合优化问题,但应用基本遗传算法求解TSP问题时存在许多不足.结合TSP问题的特点,提出一种改进的遗传算法:应用贪心策略初始化种群,用2-opt对其进行优化,使得在初始个体中就包...旅行商问题(Traveling Salesman Problem TSP)是一个典型的组合优化问题,但应用基本遗传算法求解TSP问题时存在许多不足.结合TSP问题的特点,提出一种改进的遗传算法:应用贪心策略初始化种群,用2-opt对其进行优化,使得在初始个体中就包含较优子路径,在一定程度上加快算法收敛性,防止早熟和近亲繁殖.对交叉算子和变异算子进行改进后,既能维持种群的多样性,也保留了父代个体大部分优良性能.应用改进的算法对20个城市的TSP问题进行求解,结果表明该算法求解速度快而且求解的质量较好.展开更多
基金supported by the National Natural Science Foundation of China(61771293)the Key Project of Shangdong Province(2019JZZY010111)。
文摘As a typical representative of the NP-complete problem, the traveling salesman problem(TSP) is widely utilized in computer networks, logistics distribution, and other fields. In this paper, a discrete lion swarm optimization(DLSO) algorithm is proposed to solve the TSP. Firstly, we introduce discrete coding and order crossover operators in DLSO. Secondly, we use the complete 2-opt(C2-opt) algorithm to enhance the local search ability.Then in order to enhance the efficiency of the algorithm, a parallel discrete lion swarm optimization(PDLSO) algorithm is proposed.The PDLSO has multiple populations, and each sub-population independently runs the DLSO algorithm in parallel. We use the ring topology to transfer information between sub-populations. Experiments on some benchmarks TSP problems show that the DLSO algorithm has a better accuracy than other algorithms, and the PDLSO algorithm can effectively shorten the running time.
文摘旅行商问题(Traveling Salesman Problem TSP)是一个典型的组合优化问题,但应用基本遗传算法求解TSP问题时存在许多不足.结合TSP问题的特点,提出一种改进的遗传算法:应用贪心策略初始化种群,用2-opt对其进行优化,使得在初始个体中就包含较优子路径,在一定程度上加快算法收敛性,防止早熟和近亲繁殖.对交叉算子和变异算子进行改进后,既能维持种群的多样性,也保留了父代个体大部分优良性能.应用改进的算法对20个城市的TSP问题进行求解,结果表明该算法求解速度快而且求解的质量较好.
