can anyone tell me if the vacume pump associated with the supercharger /air cleaner housing should be running when the motor is running. and what its purpose is.
You do not need to use the vacume pump at all. I have removed the plastic connections that go into the body of the supercharger and pluged the holes (two at each end of the body). I do not know of anyone who is using the vacume pump on a Triple-M car.