Internet stops working for ~30 seconds multiple times a day

Hey my internet stops working for ~30 seconds multiple times a day. I am using Time Warner Cable with a Motorla SBG6580 modem and Asus RTN56U router and a wired connection. When it drops the internet access icon in the bottom right doesn't change (no yellow exclamation point) and sometimes when I run the troubleshoot internet connections it will come back with "the DNS server isn't responding. The other computers in my house don't seem to have the problem. My computer uses a wired connection and am running Windows 7. Any ideas? Thanks

Microsoft Windows [Version 6.1.7601]
Copyright (c) 2009 Microsoft Corporation. All rights reserved.

C:\Users\Alex>ipconfig/all

Windows IP Configuration

Host Name . . . . . . . . . . . . : Alex-PC
Primary Dns Suffix . . . . . . . :
Node Type . . . . . . . . . . . . : Hybrid
IP Routing Enabled. . . . . . . . : No
WINS Proxy Enabled. . . . . . . . : No

Ethernet adapter Local Area Connection:

Connection-specific DNS Suffix . :
Description . . . . . . . . . . . : Realtek PCIe GBE Family Controller
Physical Address. . . . . . . . . : BC-5F-F4-10-75-D8
DHCP Enabled. . . . . . . . . . . : Yes
Autoconfiguration Enabled . . . . : Yes
Link-local IPv6 Address . . . . . : fe80::a01f:8646:f48d:31f3%11(Preferred)
IPv4 Address. . . . . . . . . . . : 192.168.1.41(Preferred)
Subnet Mask . . . . . . . . . . . : 255.255.255.0
Lease Obtained. . . . . . . . . . : Thursday, June 28, 2012 4:21:15 PM
Lease Expires . . . . . . . . . . : Friday, June 29, 2012 5:35:23 PM
Default Gateway . . . . . . . . . : 192.168.1.1
DHCP Server . . . . . . . . . . . : 192.168.1.1
DHCPv6 IAID . . . . . . . . . . . : 247226356
DHCPv6 Client DUID. . . . . . . . : 00-01-00-01-16-D9-09-85-BC-5F-F4-10-75-D8

DNS Servers . . . . . . . . . . . : 192.168.1.1
NetBIOS over Tcpip. . . . . . . . : Enabled

Tunnel adapter isatap.{AA0A4378-9A18-4BCF-BE75-414A34B12CF7}:

Media State . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix . :
Description . . . . . . . . . . . : Microsoft ISATAP Adapter
Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
DHCP Enabled. . . . . . . . . . . : No
Autoconfiguration Enabled . . . . : Yes

Tunnel adapter Teredo Tunneling Pseudo-Interface:

Connection-specific DNS Suffix . :
Description . . . . . . . . . . . : Teredo Tunneling Pseudo-Interface
Physical Address. . . . . . . . . : 00-00-00-00-00-00-00-E0
DHCP Enabled. . . . . . . . . . . : No
Autoconfiguration Enabled . . . . : Yes
IPv6 Address. . . . . . . . . . . : 2001:0:4137:9e76:24b1:29fb:3f57:fed6(Pref
erred)
Link-local IPv6 Address . . . . . : fe80::24b1:29fb:3f57:fed6%12(Preferred)
Default Gateway . . . . . . . . . : ::
NetBIOS over Tcpip. . . . . . . . : Disabled

C:\Users\Alex>