Solving the Traveling Salesman Problem Using Hydrological Cycle Algorithm

• 作者: Ahmad Wedyan Ajit Narayanan Jacqueline Whalley
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 数学
• 关键词: WATER-BASED OPTIMIZATION ALGORITHMS Nature-Inspired COMPUTING Discrete OPTIMIZATION PROBLEMS NP-HARD PROBLEMS
• 年，卷（期）: 2018,（3）
• 页码范围: 133-166
• 页数: 34页
• 分类号: O1

摘要

In this paper, a recently developed nature-inspired optimization algorithm called the hydrological cycle algorithm (HCA) is evaluated on the traveling salesman problem (TSP). The HCA is based on the continuous movement of water drops in the natural hydrological cycle. The HCA performance is tested on various geometric structures and standard benchmarks instances. The HCA has successfully solved TSPs and obtained the optimal solution for 20 of 24 benchmarked instances, and near-optimal for the rest. The obtained results illustrate the efficiency of using HCA for solving discrete domain optimization problems. The solution quality and number of iterations were compared with those of other metaheuristic algorithms. The comparisons demonstrate the effectiveness of the HCA.