Hello everyone! First post, but I joined to chime in on this, as I am currently going through this myself at my duplex, RT-N66R with a Charter Surfboard modem. I've flashed and set up from scratch Merlin's latest.
I do have an IP in the DMZ.
I have set the WAN - DHCP to Normal.
During the day, it happens constantly, of course when I'm not at home. I get the "ISP's DHCP did not function properly" message in the system log, so I go through the process of waiting 10 minutes with everything unplugged from power, powering back up, and waiting...eventually I get the WAN back online.
I am going to try the MAC Cloning suggestion, as there was a MAC listed there. I am also going to try the forwarding of ports 67 and 68 to the router's IP based off of a suggestion on this site as well, due to having one IP in the DMZ possibly messing with things. I was trying to think back if this happened when I first turned on DMZ, but I do not recall.
Charter is sending me a new modem, as ever since they upgraded our modem so that we could receive their new Internet speeds, we've been having this issue, both with a Netgear router, and now this Asus. Hopefully, doing these steps + replacement modem = Internet at home that can stay up for more than 24 hours.
The tech did note that there were connection errors that the modem logged, so something on their end (modem, connection at the box, cabling, etc) could be an issue, so if this continues, a tech will have to stop out and troubleshoot.
I'll report back with my findings over the next few days here.