A Rule Based Evolutionary Optimization Approach for the Traveling Salesman Problem

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DOI: 10.4236/iim.2017.94006    1,345 Downloads   2,749 Views  Citations

ABSTRACT

The traveling salesman problem has long been regarded as a challenging application for existing optimization methods as well as a benchmark application for the development of new optimization methods. As with many existing algorithms, a traditional genetic algorithm will have limited success with this problem class, particularly as the problem size increases. A rule based genetic algorithm is proposed and demonstrated on sets of traveling salesman problems of increasing size. The solution character as well as the solution efficiency is compared against a simulated annealing technique as well as a standard genetic algorithm. The rule based genetic algorithm is shown to provide superior performance for all problem sizes considered. Furthermore, a post optimal analysis provides insight into which rules were successfully applied during the solution process which allows for rule modification to further enhance performance.

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Alobaidi, W. , Webb, D. and Sandgren, E. (2017) A Rule Based Evolutionary Optimization Approach for the Traveling Salesman Problem. Intelligent Information Management, 9, 115-132. doi: 10.4236/iim.2017.94006.

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