Asanovelevolutionarytechnique,particleswarmoptimization(PSO)hasreceivedincreasingattentionandwideapplicationsinavarietyoffields.ToourknowledgethispaperinvestigatesthefirstapplicationofPSOalgorithmtotackletheparallelmachinesschedulingproblem.Proposingequationsanalogoustothoseoftheclassic