Wifi and ethernet issues on Macbook Pro after Mavericks update

Just upgraded my 2012 Macbook Pro to Mavericks. But since the update, the internet connection has been very flaky. The wireless indicator shows it is connected with good strength, but when I try to open a webpage, it doesn't load. When I try to use the ethernet connection, it works for a few minutes, but then it drops the connection as well.

I have reset my modem and router multiple times. My other computer, a 2010 Macbook Air, that I upgraded to Mavericks does not have any network issues.

Anybody have any tips/suggestions?