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In the field of Evolutionary Computation, a common myth that “An Evolutionary Algorithm (EA) will outperform a local search algorithm, given enough runtime and a large-enough population” exists. We believe that this is not necessarily true and challenge the statement with several simple considerations. We then investigate the population size parameter of EAs, as this is the element in the above claim...
The Traveling Salesman Problem (TSP) is one of the most well-studied combinatorial optimization problems. Best heuristics for solving the TSP known today are Lin-Kernighan (LK) local search methods. Recently, Multi-Neighborhood Search (MNS) has been proposed and was demonstrated to outperform Variable Neighborhood Search based methods on the TSP. While LK performs a variable k-opt based search operation,...
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