dropping internet connection, ethernet and wireless, linksys router

Since this is a B/G Router with DSL gateway if you obtained the device from your internet provider, have you contacted them. It may be possible that a firmware update is available.

Some other things that can affect performance are: Any new wireless devices (like cordless phone, microwave, plasma TV) in the general area of the router. (I had this problem with a past dlink router, the wireless handset would be out of the cradle and kick off the router signal)

Also, if you have only Wireless G devices set the router to only communicate in wireless G. You can also try changing the wireless channel.

More details on what can cause problems with ADSL Gateways are on the linksys website. Here

The last thing you could do is check to see if another firmware would work in your router (like tomato firmware)

Hope this helps.