Abstract
Electromagnetism-like mechanism (EM) is an emerging and potential metaheuristic based on the attraction and repulsion forces in electromagnetic theory. EMs have been successfully applied to scheduling problems. However, few studies have been conducted regarding the application of EMs in parallel machine scheduling problems. We developed a new EM to solve identical parallel machine scheduling problems under the consideration of family setup times. The objective was to minimize the total weighted flow time. The new EM comprises a matrix representation, a discrete distance measurement, and a proposed attraction-repulsion operator to effectively search for a near-optimal solution. The experiment results indicated that the new EM renewed nearly all best-known solutions in the benchmark problems, and was superior to a genetic algorithm.
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