Internet Service Keeps dropping

I had an old SB5101 and was having to reboot it every few days to re-establish the internet connection.  I searched on these forums and found out about the new DOCSIS 3.0 modems and how they were solving some of the connection drop off issues for some other customers.

I bought a cisco DPC3010 modem to replace the old one and at first everything was great after I set it up.  I did a speed test and both my download and upload speeds improved significantly over the older modem. 

• Then, after two days my computers were reporting they didn't have any internet connections and the new DPC3010 had a blinking online light.  I cycled power on the modem and everything was restored once it came back up.
• Now, the modem is loosing connection a couple times a day and requires
• I have checked the connections to the modem and everything looks good.
• I logged into the modem when it had a connection and the status looked good with all 8 X  4 connections

This is so frustrating.  I got the new modem because I thought the drop off issues were caused from the outdated technology in that SB5101.  I am now thinking there is something wrong with my account or connection.

I am hoping someone has some advice as to how I can correct these issues so my internet service doesn't drop several times a day.

thanks in advance for you help,

John