A collaborative neurodynamic optimization algorithm to traveling salesman problem
Jing Zhong, Yuelei Feng, Shuyu Tang, Jiang Xiong, Xiangguang Dai, Nian Zhang · Complex & Intelligent Systems · 2022
Abstract This paper proposed a collaborative neurodynamic optimization (CNO) method to solve traveling salesman problem (TSP). First, we construct a Hopfield neural network (HNN) with $$n \times n$$ n×n neurons for thencities. Second, to ensure the convergence of continuous HNN (CHNN), we reformulate TSP to satisfy the convergence condition of CHNN and solve TSP by CHNN. Finally, a population of CHNNs is used to search for local optimal solutions of TSP and the globally optimal solution is obtained using particle swarm optimization. Experimental results show the effectiveness of the CNO approach for solving TSP.