Have same problem on model DCC-1200. Found a solution and it has worked 100% since. Use the Auto Off function. Turn knob to Auto Off. I set it to 3 hours. Then turn knob back to Brew. So far it hasn’t shut off once. Who knows how long this will last. Obviously there is some malfunction cause it worked OK for several years.
Like the appliance when it works. Don’t want to buy another one based on reviews saying new ones have multiple problems. Sad they can’t select quality components and make one that lasts.