It appears that both your old modem and the new one are experiencing reboots. This suggests that the issue may be related to the signal distribution from your internet service provider, as it's unlikely that two different modems would have the same problem unless the source is upstream.
Could you please confirm your subscribed internet speed plan?
We recommend checking the cable signal levels within the cable modem. If the signal levels are out of the acceptable range, they can lead to the kind of connectivity issues you're experiencing.
When the signal levels are within the recommended range, your modem can maintain a stable, high-quality connection to the internet
Please refer to the link below for instructions on how to check your cable signal levels:
http://arris.force.com/consumers/articles/knowledge/SB8200-Cable-Signal-Levels
If you find that the signal levels are not within the recommended range, we suggest contacting your Internet Service Provider (ISP) to have them reviewed and adjusted as needed.