Ajuste de desempenho do Oracle

Se entendi corretamente, você usa a subconsulta de correlação para encontrar linhas com mais de um exceptn_criteria_rtrn_val distinto valor. Se eu estiver certo será melhor usar a função analítica:

select vw.registration_id as REGISTRATION_ID, vw.batch_id as BATCH_ID
from
 (select ss.registration_id as REGISTRATION_ID, ss.batch_id as BATCH_ID
        ,count(distinct sub_query.exceptn_criteria_rtrn_val) over(partition by ss.registration_id, ss.batch_id) as cnt
    from submtd_srvc PARTITION(SUBMTD_SRVC_821370) ss,
         (select a.exceptn_criteria_val, a.exceptn_criteria_rtrn_val
            from EXCEPTN_CRITERIA a, EXCEPTN_EXPRESSION b
           where a.EXCEPTN_EXPRESSION_ID = b.EXCEPTN_EXPRESSION_ID
             and b.EXCEPTN_EXPRESSION_NAME = 'NC_CUSTOM_REV_CAT'
             and b.IS_CURRENT_INDCTR = 1
             and a.IS_CURRENT_INDCTR = 1) sub_query
   where ss.REVENUE_CD = sub_query.exceptn_criteria_val
     and ss.batch_id = 821370) vw
where cnt > 1
Order By vw.Registration_Id, vw.batch_id;