The　increase　of　data　scale　and　the　acceleration　of　data　update　frequency　bring　challenges　for　efficiency　evaluation.　Free　Disposal　Hull　(FDH)　is　a　classical　efficiency　evaluation　method　under　non-convex　technology.　Compared　with　data　envelope　analysis　under　convex　technology,　the　efficiency　solving　process　of　FDH　is　more　complicated,　and　it　is　difficult　to　ensure　the　timeliness　of　the　evaluation　results　under　the　situation　of　rapid　data　updating.　To　address　the　above　problems,　firstly,　the　fast　enumeration　algorithm　(FEA)　based　on　the　dominance　and　reference　relationship　between　decision-making　units　is　proposed　on　the　basis　of　the　existing　enumeration　algorithms,　which　is　used　to　calculate　the　FDH　efficiency　of　large-scale　samples.　Furthermore,　based　on　the　transitivity　of　the　dominance　and　the　reference　relationship,　the　dynamic　fast　enumeration　algorithm　(DFEA)　is　proposed　to　update　the　efficiency　results.　Finally,　the　effectiveness　of　the　algorithm　is　verified　through　numerical　simulations　and　the　application　of　the　evaluation　of　doctors　in　the　Haodaifu　platform.　The　experimental　results　show　that,　compared　with　the　enumeration　algorithm,　the　time　for　FEA　to　complete　the　evaluation　of　the　FDH　efficiency　of　large-scale　samples　is　significantly　reduced,　and　the　DFEA　is　capable　of　updating　the　FDH　efficiency　of　large-scale　samples　in　real　time.　©　2025　Systems　Engineering　Society　of　China.　All　rights　reserved.