Inthispaper,wedevelopageneralizedmulti-statedegradedsystemreliabilitymodelsubjecttomultiplecompetingfailureprocesses,includingtwodegradationprocesses,andrandomshocks.Theoperatingconditionofthemulti-statesystemsischaracterizedbyafinitenumberofstates.Wealsopresentamethodologytogeneratethe