ThedirectedmotionofaBrownianparticleinaflashingpotentialwithvarioustransitionprobabilitiesandwaitingtimesinoneoftwostatesisstudied.AnexpressionfortheaveragecycleperiodisproposedandthesteadycurrentJoftheparticleiscalculatedviaLangevinsimulation.Theresultsshowthattheoptimalcycleperiodrm,whichtakesthemaximumofJ,isshiftedtoasmallvaluewhenthetransitionprobabilityλfromthepotentialontothepotentialoffdecreases,themaximalcurrentappearsinthecaseoftheaveragewaitingtimeinthepotentialonbeinglongerthaninthepotentialoff,andthedirectionofcurrentdependsontheratiooftheaveragetimeswaitingintwostates.
