For smaller institutions, how do you make sure that you are receiving all your print issues?

We only have about 60 print subscriptions.  When new issues arrive, my students stamp and write the volume and issue on the cover, then shelve them.  Our catalog holdings for current subscriptions always say, for example, "Vol. 4 No. 5 (1998) - Present."  We just have a generic "To Present" for all current subscriptions.  We don't update the holdings for each issue, but I'm wondering if we should.

Do you keep check of which issues you receive?  Do you check them into a system?  Do you write them down in a word document?  Or do you trust that they arrive?

It seems like we get all our issues, with maybe a few missing on rare occasions.  Every year, we reduce our print collection so I'm not sure how important it is to dedicate time to this. 

Thank you,