Now, implementation may defer depending on how and when product should be displayed. Whether it has to be user specific usage frequency or application specific (overall). But, in both case, I would suggest to have a history
table, which later you can use for other analysis.
You could design you history
table with atleast below columns:
Id | ProductId | LastUsed (timestamp) | UserId
And, now you can create a view, which will query this table for specific time range (something like product frequency of last week, last month or last year) and will give you highest sold product for specific time range.
Same can be used for User's specific frequency by adding additional condition to filter by Userid.
I'm thinking about adding a new field recency which would be increased
by 1 every time the product was used, and decreased by 1/(count of all
products), when an other product is used. Then use this recency field
for ordering, but it doesn't seem to me the best solution.
Yes, it is not a good practice to add a column for this and update every time. Imagine, this product is most awaiting product and people love to buy it. Now, at a time, 1000 people or may be more requested for this product and for every request you are going to update same row, since to maintain the concurrency database has to lock that specific row and update for each request, which is definitely going to hit your database and application performance instead you can simply insert a new row.
The other possible solution is, you could use your existing invoice table as it will definitely have all product and user specific information and create a view to get frequently used product as I mentioned above.
Please note that, this is an another option to achieve what you are expecting. But, I would personally recommend to have history
table instead.