Really weird Internet connection

We have been through this from last Monday. Really frustrated. My internet is always out in the morning around 6:30am. Sometimes, reboot modem makes it back on. Most of time, the modem reboot works (all lights up) but no internet. In afternoon around 2:30pm, my internet back on. I don't need to do anything. I called cox almost each day. They sent tech in next day. The problem seems fixed when they come. Then, next morning, the same problem. Right now, it is confirmed that the problem is not due to anything from street to my house. I have to wait them to figure out what is going on. 

Anyone have been in the same situation? That will be really helpful to know the reason and how to solve this. Thanks.