Run a same script in parallel with diffs parameters

i have script say some_script.ksh that takes an argument

I need to run some_script.ksh in background parallely at the sametime with different arguments.

Once all the background jobs complete, i need to run this script again in parallel with another 5 set of arguments.

Would really appreciate if someone can help me on this.
The real world scenario is that I have a generic script that unloads table from the database taking the table_name and database server as arguments..

You can use "nohup" to run a script in background. Check that.
e.g
nohup test.sh arg1 &
nohup test.sh arg2 &
..
..

Is that what you are looking for ?