Explore momentum in the optimization trial solution calculation. Observing the trial solution change with iteration number, we actually “see” it change in our observation time. It appears to be an object moving in the 2-D space, speeding up, curving, or slowing down as the optimizer rules direct the next trial solution. Momentum is a concept from the motion of objects. It would keep an object moving along the linearized path, unless some force causes velocity to change. Often people write the particle swarm equations in the velocity mode, using momentum, with the forces proportional to the deviations from particle local and swarm best. However, I wrote the PS equations in the position mode, with no momentum and with the jumps in position proportional to deviation from the local and swarm best. Determine whether momentum is helpful or not. Your evaluation should be somewhat comprehensive (tested on a selection of functions that exemplify a range of OF features and based on a diversity of measures of goodness).
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