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A real adjacency matrix-coded evolution algorithm for highly linkage-based routing problems

Wei, Hang; Huang, Han*; Hao, Zhi-Feng; Chen, Qin-Qun; Pedrycz, Witold; Li, Gang
Science Citation Index Expanded
佛山科学技术学院; 广州中医药大学; 6

摘要

In routing problems, the contribution of a variable to fitness often depends on the states of other variables. This phenomenon is referred to as linkage. High linkage level typically makes a routing problem more challenging for an evolutionary algorithm (EA). An entire linkage measure, named entire linkage index (ELI), has been proposed in this paper for such routing problems. Aiming at solving high linkage-based routing problems, we presented a real adjacency matrix-coded evolution algorithm (RAMEA) that is capable of learning and evolving correlation matrix of decision variables. The efficiency of RAMEA was tested on two familiar routing problems: travelling salesman problem (TSP) and generalised travelling salesman problem (GTSP). The experimental results show that the RAMEA is promising for those highly linkage-based routing problems, especially for those of large-scale.

关键词

linkage routing problems evolutionary optimisation real adjacency matrix-coding mechanism