The　vehicle　types　in　the　mixed　traffic　flow　with　connected　and　automated　vehicles　(CAV)　and　the　headways　under　the　car-following　mode　were　analyzed,　and　the　probability　expressions　of　each　headway　mode　were　theoretically　deduced　according　to　the　features　of　general　mixed　traffic　flows,　so　as　to　mathematically　describe　the　mixed　traffic　flow.　In　order　to　maximize　the　overall　passing　rate　of　mixed　traffic　flows,　the　setting　conditions　of　a　CAV　dedicated　lane　in　multi-lane　mixed　traffic　flows　and　the　optimal　traffic　flow　distribution　ratios　of　CAV　traffic　flows　on　the　dedicated　lane　and　the　mixed　lane　after　setting　the　dedicated　lane　were　calculated.　By　extending　the　case　of　one　CAV　dedicated　lane　to　the　general　case　of　dynamic　management　and　control　of　multiple　CAV　dedicated　lanes,　an　analysis　method　for　dynamic　management　and　control　of　dedicated　lanes　for　the　mixed　traffic　flows　was　constructed.　Case　analysis　was　used　to　demonstrate　the　effectiveness　of　the　proposed　management　and　control　method　of　CAV　dedicated　lanes.　Research　results　show　that　when　traffic　demand　is　2　000　veh　·　h-1,　there　is　no　need　to　set　up　CAV　dedicated　lanes　in　each　CAV　permeability　stage.　When　the　traffic　demand　is　3　000　veh　·　h-1,　CAV　dedicated　lanes　should　be　set　up　at　the　CAV　permeability　stage　of　0.　2-0.　4.　When　the　traffic　demand　is　5　000　veh　·　h-1,　it　is　necessary　to　consider　setting　up　CAV　dedicated　lanes　in　each　CAV　permeability　stage.　The　optimal　numbers　of　CAV　dedicated　lanes　and　the　optimal　distribution　ratios　of　CAV　traffic　flows　at　different　CAV　permeability　stages　can　be　quantitatively　calculated　by　the　proposed　CAV　dedicated　lane　management　and　control　method　according　to　the　conditions　of　traffic　demand　and　the　total　number　of　lanes,　and　the　critical　CAV　permeability　range　reflecting　the　setting　conditions　of　CAV　dedicated　lanes　can　be　affected　by　the　traffic　demand.　The　increase　in　the　optimal　number　of　dedicated　lanes　from　the　traffic　demand　attribute　and　the　road　space　attribute　can　be　promoted　by　the　traffic　demand　and　the　total　number　of　lanes,　respectively,　which　is　in　line　with　the　characteristics　of　dedicated　lane　management　and　control　in　multi-lane　scenarios　for　mixed　traffic　flows.　©　2023　Chang＇an　University.　All　rights　reserved.