Well, I did more testing. I unplugged the UPS and both computer and modem continued to function properly. So, I tried a bunch of quick unplug/plugs of the UPS. Everything continued to work. At this point, I'm tending to blame the ISP. Here's why. Verizon used to be the provider ... now, it's Frontier. I know, in Verizon days, last year, that a power outage would kill the telephone service. I get service from a remote vault about 2 miles down the road. During a long power/phone outage, I went down to the remote and talked to the telephone guy that was dispatched to the remote site. He said that the batteries were junk and Verizon didn't want to spend the money to replace them because they knew the Frontier sale was just around the corner. Funny thing, during that long power outage, DSL still worked. It apparently comes from the same remote site, but probably uses different batteries or gets its power differently. Now, I just have to monitor the outages in the future and possibly report the problems to Frontier. I've heard both good and bad about Frontier's response to problems.