Abstract:

Random number sequences are frequently used for stochastic structures of metaheuristic optimization algorithms. The distributions of randomly generated sequences of numbers are quite effective in the convergence of heuristic optimization algorithms to the global optimum. By gathering randomly generated numbers in a certain area or by generating the same values, the risk of the algorithm to be localized may be increased. Therefore, the numbers produced are not the same, the spread spectrum has the effect of the performance of heuristic algorithms. Chaotic maps are discrete-time systems, and the numbers produced by chaotic maps have a broad spectrum and are not periodic. Therefore, it is possible to avoid the optimum points by using the chaotic map in heuristic algorithms or to reduce the risk of local optimization. In this study, the effect of chaotic maps on the Golden Sine Algorithm, which is one of the new optimization methods, has been investigated.

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