Abstract
Velocity threshold vmax is an important parameter of particle swarm optimisation. Different from other parameters, it affects the algorithm performance by restricting the moving size and direction of each particle. However, the current results are all with small dimensions no larger than 30. Because of the scientific development, many optimisation tasks are complex, high dimensional multi-modal functions. Therefore, in this paper, the authors investigate the selection principle of vmax with high dimension on numerical optimisation problems. To make a deep insight, the test suit consists of three different type benchmarks: unimodel, multi-modal functions with a few local optima and multi-modal functions with many local optima. Simulation results show the 10% of the upper bound of the domain may generally obtain the satisfied solution within the allowed iterations.
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