Restore from SQL Server 2014 Enterprise to BI Is it possible to restore a SQL Server 2014 Enterprise database with table partitioning (Production) to a SQL Server 2014 BI Version (Test/Development) ?

Of course I don't expect to use the table partitioning Feature on BI version, but I do expect a runnable version ...
You can restore it if you're not using any Enterprise Edition features.

In this case, you are using table partitioning so that restore path is not supported.

You can run:

SELECT * 
FROM sys.dm_db_persisted_sku_features;


...to check for other features that can block your cross-edition restore.

Consider using Developer Edition as your test/development platform. It is very cheap and has all of the features of Enterprise Edition.