PostgreSQL 9.3 – Get Top-K Minimum Per Range

You can use a window function for this:

select a,b,c
from (
  select a,b,c,
         dense_rank() over (order by a,b) as rnk
  from dbTable
) t
where rnk = 1;

For the "first" rows, it doesn't matter if you use rank() or dense_rank(). When you e.g. want the "second" ones, the rank() and dense_rank() would return different results in case of ties. Because rank() will have "gaps" in the numbers, but dense_rank() will not.

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A possible speedup might be achieved by doing this in two steps and of course having an index on (a,b)

with ranked as (
  select *
  from (
    select a,b,
           dense_rank() over (order by a,b) as rnk
    from dbTable
  ) t
  where r.rnk = 1  -- (or <= for "top-k")
)
select t.a, t.b, t.c
from dbTable t
   join ranked r on r.a = t.a and r.b = t.b;

The idea is to give Postgres the chance to do an index-only scan for the ranking part and then join only the result of that to the base table to get the remaining column(s). The filtering on the rank is done inside the CTE as Postgres doesn't push down conditions from the outer query into the CTE itself (that's why I have the derived table inside the CTE)

I'm not sure if this really improves the performance, but I guess it would be worth trying and have a look a the execution plan with the real tables (and data).

Let's start with the basic scenario.

If I want to get some number of rows out of a table, I have two main options: ranking functions; or TOP.

First, let's consider the whole set from Production.TransactionHistory for a particular ProductID:

SELECT h.TransactionID, h.ProductID, h.TransactionDate
FROM Production.TransactionHistory h
WHERE h.ProductID = 800;

This returns 418 rows, and the plan shows that it checks every row in the table looking for this - an unrestricted Clustered Index Scan, with a Predicate to provide the filter. 797 reads here, which is ugly.

So let's be fair to it, and create an index that would be more useful. Our conditions call for an equality match on ProductID, followed by a search for the most recent by TransactionDate. We need the TransactionID returned too, so let's go with: CREATE INDEX ix_FindingMostRecent ON Production.TransactionHistory (ProductID, TransactionDate) INCLUDE (TransactionID);.

Having done this, our plan changes significantly, and drops the reads down to just 3. So we're already improving things by over 250x or so...

Now that we've levelled the playing field, let's look at the top options - ranking functions and TOP.

WITH Numbered AS
(
SELECT h.TransactionID, h.ProductID, h.TransactionDate, ROW_NUMBER() OVER (ORDER BY TransactionDate DESC) AS RowNum
FROM Production.TransactionHistory h
WHERE h.ProductID = 800
)
SELECT TransactionID, ProductID, TransactionDate
FROM Numbered
WHERE RowNum <= 5;

SELECT TOP (5) h.TransactionID, h.ProductID, h.TransactionDate
FROM Production.TransactionHistory h
WHERE h.ProductID = 800
ORDER BY TransactionDate DESC;

You will notice that the second (TOP) query is much simpler than the first, both in query and in plan. But very significantly, they both use TOP to limit the number of rows actually being pulled out of the index. The costs are only estimates and worth ignoring, but you can see a lot of similarity in the two plans, with the ROW_NUMBER() version doing a tiny amount of extra work to assign numbers and filter accordingly, and both queries end up doing just 2 reads to do their work. The Query Optimizer certainly recognises the idea of filtering on a ROW_NUMBER() field, realising that it can use a Top operator to ignore rows that aren't going to be needed. Both these queries are good enough - TOP isn't so much better that it's worth changing code, but it is simpler and probably clearer for beginners.

So this work across a single product. But we need to consider what happens if we need to do this across multiple products.

The iterative programmer is going to consider the idea of looping through the products of interest, and calling this query multiple times, and we can actually get away with writing a query in this form - not using cursors, but using APPLY. I'm using OUTER APPLY, figuring that we might want to return the Product with NULL, if there are no Transactions for it.

SELECT p.Name, p.ProductID, t.TransactionID, t.TransactionDate
FROM 
Production.Product p
OUTER APPLY (
    SELECT TOP (5) h.TransactionID, h.ProductID, h.TransactionDate
    FROM Production.TransactionHistory h
    WHERE h.ProductID = p.ProductID
    ORDER BY TransactionDate DESC
) t
WHERE p.Name >= 'M' AND p.Name < 'S';

The plan for this is the iterative programmers' method - Nested Loop, doing a Top operation and Seek (those 2 reads we had before) for each Product. This gives 4 reads against Product, and 360 against TransactionHistory.

Using ROW_NUMBER(), the method is to use PARTITION BY in the OVER clause, so that we restart the numbering for each Product. This can then be filtered like before. The plan ends up being quite different. The logical reads are about 15% lower on TransactionHistory, with a full Index Scan going on to get the rows out.

WITH Numbered AS
(
SELECT p.Name, p.ProductID, h.TransactionID, h.TransactionDate, ROW_NUMBER() OVER (PARTITION BY h.ProductID ORDER BY h.TransactionDate DESC) AS RowNum
FROM Production.Product p
LEFT JOIN Production.TransactionHistory h ON h.ProductID = p.ProductID
WHERE p.Name >= 'M' AND p.Name < 'S'
)
SELECT Name, ProductID, TransactionID, TransactionDate
FROM Numbered n
WHERE RowNum <= 5;

Significantly, though, this plan has an expensive Sort operator. The Merge Join doesn't seem to maintain the order of rows in TransactionHistory, the data must be resorted to be able to find the rownumbers. It's fewer reads, but this blocking Sort could feel painful. Using APPLY, the Nested Loop will return the first rows very quickly, after just a few reads, but with a Sort, ROW_NUMBER() will only return rows after a most of the work has been finished.

Interestingly, if the ROW_NUMBER() query uses INNER JOIN instead of LEFT JOIN, then a different plan comes up.

This plan uses a Nested Loop, just like with APPLY. But there's no Top operator, so it pulls all the transactions for each product, and uses a lot more reads than before - 492 reads against TransactionHistory. There isn't a good reason for it not to choose the Merge Join option here, so I guess the plan was considered 'Good Enough'. Still - it doesn't block, which is nice - just not as nice as APPLY.

The PARTITION BY column that I used for ROW_NUMBER() was h.ProductID in both cases, because I had wanted to give the QO the option of producing the RowNum value before joining to the Product table. If I use p.ProductID, we see the same shape plan as with the INNER JOIN variation.

WITH Numbered AS
(
SELECT p.Name, p.ProductID, h.TransactionID, h.TransactionDate, ROW_NUMBER() OVER (PARTITION BY p.ProductID ORDER BY h.TransactionDate DESC) AS RowNum
FROM Production.Product p
LEFT JOIN Production.TransactionHistory h ON h.ProductID = p.ProductID
WHERE p.Name >= 'M' AND p.Name < 'S'
)
SELECT Name, ProductID, TransactionID, TransactionDate
FROM Numbered n
WHERE RowNum <= 5;

But the Join operator says 'Left Outer Join' instead of 'Inner Join'. The number of reads is still just under 500 reads against the TransactionHistory table.

Anyway - back to the question at hand...

We've answered question 1, with two options that you could pick and choose from. Personally, I like the APPLY option.

To extend this to use a variable number (question 2), the 5 just needs to be changed accordingly. Oh, and I added another index, so that there was an index on Production.Product.Name that included the DaysToManufacture column.

WITH Numbered AS
(
SELECT p.Name, p.ProductID, p.DaysToManufacture, h.TransactionID, h.TransactionDate, ROW_NUMBER() OVER (PARTITION BY h.ProductID ORDER BY h.TransactionDate DESC) AS RowNum
FROM Production.Product p
LEFT JOIN Production.TransactionHistory h ON h.ProductID = p.ProductID
WHERE p.Name >= 'M' AND p.Name < 'S'
)
SELECT Name, ProductID, TransactionID, TransactionDate
FROM Numbered n
WHERE RowNum <= 5 * DaysToManufacture;

SELECT p.Name, p.ProductID, t.TransactionID, t.TransactionDate
FROM 
Production.Product p
OUTER APPLY (
    SELECT TOP (5 * p.DaysToManufacture) h.TransactionID, h.ProductID, h.TransactionDate
    FROM Production.TransactionHistory h
    WHERE h.ProductID = p.ProductID
    ORDER BY TransactionDate DESC
) t
WHERE p.Name >= 'M' AND p.Name < 'S';

And both plans are almost identical to what they were before!

Again, ignore the estimated costs - but I still like the TOP scenario, as it is so much more simple, and the plan has no blocking operator. The reads are less on TransactionHistory because of the high number of zeroes in DaysToManufacture, but in real life, I doubt we'd be picking that column. ;)

One way to avoid the block is to come up with a plan that handles the ROW_NUMBER() bit to the right (in the plan) of the join. We can persuade this to happen by doing the join outside the CTE.

WITH Numbered AS
(
SELECT h.TransactionID, h.ProductID, h.TransactionDate, ROW_NUMBER() OVER (PARTITION BY ProductID ORDER BY TransactionDate DESC) AS RowNum
FROM Production.TransactionHistory h
)
SELECT p.Name, p.ProductID, t.TransactionID, t.TransactionDate
FROM Production.Product p
LEFT JOIN Numbered t ON t.ProductID = p.ProductID
    AND t.RowNum <= 5 * p.DaysToManufacture
WHERE p.Name >= 'M' AND p.Name < 'S';

The plan here looks simpler - it's not blocking, but there's a hidden danger.

Notice the Compute Scalar that's pulling data from the Product table. This is working out the 5 * p.DaysToManufacture value. This value isn't being passed into the branch that's pulling data from the TransactionHistory table, it's being used in the Merge Join. As a Residual.

So the Merge Join is consuming ALL the rows, not just the first however-many-are-needed, but all of them and then doing a residual check. This is dangerous as the number of transactions increases. I'm not a fan of this scenario - residual predicates in Merge Joins can quickly escalate. Another reason why I prefer the APPLY/TOP scenario.

In the special case where it's exactly one row, for question 3, we can obviously use the same queries, but with 1 instead of 5. But then we have an extra option, which is to use regular aggregates.

SELECT ProductID, MAX(TransactionDate)
FROM Production.TransactionHistory
GROUP BY ProductID;

A query like this would be a useful start, and we could easily modify it to pull out the TransactionID as well for tie-break purposes (using a concatenation which would then be broken down), but we either look at the whole index, or we dive in product by product, and we don't really get a big improvement on what we had before in this scenario.

But I should point out that we're looking at a particular scenario here. With real data, and with an indexing strategy that may not be ideal, mileage may vary considerably. Despite the fact that we've seen that APPLY is strong here, it can be slower in some situations. It rarely blocks though, as it has a tendency to use Nested Loops, which many people (myself included) find very appealing.

I haven't tried to explore parallelism here, or dived very hard into question 3, which I see as a special case that people rarely want based on the complication of concatenating and splitting. The main thing to consider here is that these two options are both very strong.

I prefer APPLY. It's clear, it uses the Top operator well, and it rarely causes blocking.