I do not keep a folder on my computer with the hundreds of PDFs of the scientific papers I read, but rather whenever I need a paper I just go and download it from the publisher's website. Of course I access via my institution so there is no charge.
There are papers I access multiple times, and recently this got me thinking: is the university paying a flat fee for the journal (or conference proceedings), or is it billed directly when I access the paper? And in the latter case, if I access it multiple times, will the university be billed again?
I honestly have no idea how these deals work and could not find information, but if the latter case is true, I feel there should be better communication by the institutions so we can adopt better caching strategies.