Abstract

One of the important issues in the electromagnetic field is determining the location and volume of two correcting coils in the Loney’s solenoid design problem. Meta-heuristic algorithms have the ability to solve this problem efficiently. However, these algorithms suffer from getting trapped in local optima, finding global optima, and complex implementation process. The performance of meta-heuristic algorithms has been improved by introducing specific parameters and employing various strategies in the implementation process. In this paper, we improved the performance of the modified stem cells algorithm by some changes in distributing cells and introducing the formulation of food sources. Hence, self-renewal and similar processes with the average rate are used simultaneously. We employed the proposed algorithm, MSC-FS algorithm, to solve multiple standard benchmark problems to show its efficiency in the field of mathematics. The results show the excellent performance of MSC-FS algorithm in comparison with the other employed methods.

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