In Analysis Services tabular, the database administrator can make modifications to the model schema and can query all data in the model designer, reporting client, and SQL Server Management Studio. But cannot add or delete databases on the server, or grant administrator rights to other databases on the same server. That privilege belongs to server administrators alone. So if you want to open a model.bim file in SSDT and deploy it onto SSAS server, you need to be server admin.
Most of us might get this error message when we start to work on SSAS tabular model in client sides.
The solution is very straight forward but this can’t be solved by same login which is getting this error message. Contact the SQL Server administrator or use "sa" login and add your username under Sever administrators list in SSAS as shown below.