There are other stackoverflow discussions on this same topic (links at bottom). As noted in the comments above it might have something to do with indexes and the optimizer getting confused and using the wrong one.
My first thought is that you are doing a select top serviceid from (select *....) and the optimizer may have difficulty pushing the query down to the inner queries and making using of the index.
Consider rewriting it as
select top 10 ServiceRequestID
from big_table_1
inner join big_table_2 cap2
on cap1.servicerequestid = cap2.customerreferencenumber
and big_table_1.statusid = 2
In your query, the database is probably trying to merge the results and return them and THEN limit it to the top 10 in the outer query. In the above query the database will only have to gather the first 10 results as results are being merged, saving loads of time. And if servicerequestID is indexed, it will be sure to use it. In your example, the query is looking for the servicerequestid column in a result set that has already been returned in a virtual, unindexed format.
Hope that makes sense. While hypothetically the optimizer is supposed to take whatever format we put SQL in and figure out the best way to return values every time, the truth is that the way we put our SQL together can really impact the order in which certain steps are done on the DB.
SELECT TOP is slow, regardless of ORDER BY
Why is doing a top(1) on an indexed column in SQL Server slow?
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