What power supply are you using and how old it is?? I had an issue when I first got my GTX780Ti after upgrading from a GTX660 where it would crash most games after 5-10 minutes.. I returned the first 780Ti to the store and got a replacement, but the next one did the same thing. I figured it has to be another problem at that point. Went through tons of troubleshooting, reinstalling Windows, even replaced my hard drive, did a full memory test with memtest86. Anyway I put back in my GTX660 and the crashing problems stopped completely. So at that point the only things I hadn't touched were Motherboard, CPU & Power Supply. As I wasn't having crashing with anything else it really pointed toward my PSU having problems with the new card.
Nvidia recommends a 600W for 780Ti... Anyway at the time I had some Generic 650W power supply I bought at on sale for like $15. At the time I didn't really think it mattered as long as the rated power was enough.
Well apparently some cheap power supplies can struggle to even supply half their rated power, see this for example:
http://www.hardwaresecrets.com/how-much-power-can-a-generic-500-w-power-supply-really-deliver/
They tested a 500W power supply and it could just barely supply 250W power, completely failed when they hit ~275W.
So basically it was more like I had a ~325-375W power supply... a GTX 780Ti can draw almost 260-270W just for the card. So when the card would hit peak power draw it the power supply would really struggle to supply enough power and would crash the game or driver. I think I remember having my PC just flat out turn off once too. Anyway I went out and purchased a Corsair 750W power supply.. problems went away completely! It worked great for many years and is actually still in service in my Mom's PC now. LOL
I hadn't seen your power supply mentioned at all and as you have an older system might not have enough juice to supply for a GTX1080 card.