I too am having the exact same issue and have been suffering with predictable socket closed errors in game all the time. I have spoken with EVE support and they had me run all sorts of tests which all showed the problem is being caused by the connections timing out. I will copy the trace route info here in case it sheds some light for us.
Microsoft Windows [Version 6.1.7601]
Copyright (c) 2009 Microsoft Corporation. All rights reserved.
C:\Users\####>tracert 87.237.34.200
Tracing route to srv200-c.ccp.cc [87.237.34.200]
over a maximum of 30 hops:
1 35 ms 2 ms 1 ms routerlogin.net [192.168.0.1]
2 * * * Request timed out.
3 13 ms 19 ms 19 ms bagu-core-2a-xe-723-0.network.virginmedia.net [6
2.252.244.113]
4 * * * Request timed out.
5 20 ms 22 ms 20 ms 86.85-254-62.static.virginmediabusiness.co.uk [6
2.254.85.86]
6 23 ms 23 ms 19 ms ldn-b1-link.telia.net [213.248.84.25]
7 28 ms 29 ms 20 ms ldn-bb3-link.telia.net [62.115.114.234]
8 38 ms 28 ms 29 ms adm-bb3-link.telia.net [213.155.136.99]
9 37 ms 30 ms 38 ms adm-b2-link.telia.net [62.115.112.125]
10 26 ms 29 ms 27 ms verisign-ic-324757-adm-b2.c.telia.net [62.115.15
2.107]
11 34 ms 29 ms 27 ms 64.6.77.223
12 * * * Request timed out.
13 * * * Request timed out.
14 * * * Request timed out.
15 * * * Request timed out.
16 * * * Request timed out.
17 * * * Request timed out.
18 * * * Request timed out.
19 * * * Request timed out.
20 * * * Request timed out.
21 * * * Request timed out.
22 * * * Request timed out.
23 * * * Request timed out.
24 * * * Request timed out.
25 * * * Request timed out.
26 * * * Request timed out.
27 * * * Request timed out.
28 * * * Request timed out.
29 * * * Request timed out.
30 * * * Request timed out.
Trace complete.
C:\Users\####>ping www.google.com -n 30
Pinging www.google.com [209.85.202.104] with 32 bytes of data:
Reply from 209.85.202.104: bytes=32 time=30ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=28ms TTL=44
Reply from 209.85.202.104: bytes=32 time=36ms TTL=44
Reply from 209.85.202.104: bytes=32 time=34ms TTL=44
Reply from 209.85.202.104: bytes=32 time=33ms TTL=44
Reply from 209.85.202.104: bytes=32 time=32ms TTL=44
Reply from 209.85.202.104: bytes=32 time=31ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=28ms TTL=44
Reply from 209.85.202.104: bytes=32 time=27ms TTL=44
Reply from 209.85.202.104: bytes=32 time=36ms TTL=44
Reply from 209.85.202.104: bytes=32 time=27ms TTL=44
Reply from 209.85.202.104: bytes=32 time=33ms TTL=44
Reply from 209.85.202.104: bytes=32 time=28ms TTL=44
Reply from 209.85.202.104: bytes=32 time=30ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=28ms TTL=44
Reply from 209.85.202.104: bytes=32 time=37ms TTL=44
Reply from 209.85.202.104: bytes=32 time=32ms TTL=44
Reply from 209.85.202.104: bytes=32 time=27ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=33ms TTL=44
Reply from 209.85.202.104: bytes=32 time=32ms TTL=44
Reply from 209.85.202.104: bytes=32 time=31ms TTL=44
Reply from 209.85.202.104: bytes=32 time=30ms TTL=44
Reply from 209.85.202.104: bytes=32 time=29ms TTL=44
Reply from 209.85.202.104: bytes=32 time=28ms TTL=44
Reply from 209.85.202.104: bytes=32 time=27ms TTL=44
Ping statistics for 209.85.202.104:
Packets: Sent = 30, Received = 30, Lost = 0 (0% loss),
Approximate round trip times in milli-seconds:
Minimum = 27ms, Maximum = 37ms, Average = 30ms
C:\Users\####>ping www.google.de -n 30
Pinging www.google.de [209.85.202.94] with 32 bytes of data:
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=28ms TTL=46
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=29ms TTL=46
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=30ms TTL=46
Reply from 209.85.202.94: bytes=32 time=32ms TTL=46
Reply from 209.85.202.94: bytes=32 time=31ms TTL=46
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=29ms TTL=46
Reply from 209.85.202.94: bytes=32 time=28ms TTL=46
Reply from 209.85.202.94: bytes=32 time=30ms TTL=46
Reply from 209.85.202.94: bytes=32 time=33ms TTL=46
Reply from 209.85.202.94: bytes=32 time=34ms TTL=46
Reply from 209.85.202.94: bytes=32 time=32ms TTL=46
Reply from 209.85.202.94: bytes=32 time=31ms TTL=46
Reply from 209.85.202.94: bytes=32 time=29ms TTL=46
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=35ms TTL=46
Reply from 209.85.202.94: bytes=32 time=29ms TTL=46
Reply from 209.85.202.94: bytes=32 time=33ms TTL=46
Reply from 209.85.202.94: bytes=32 time=36ms TTL=46
Reply from 209.85.202.94: bytes=32 time=33ms TTL=46
Reply from 209.85.202.94: bytes=32 time=32ms TTL=46
Reply from 209.85.202.94: bytes=32 time=30ms TTL=46
Reply from 209.85.202.94: bytes=32 time=39ms TTL=46
Reply from 209.85.202.94: bytes=32 time=38ms TTL=46
Reply from 209.85.202.94: bytes=32 time=37ms TTL=46
Reply from 209.85.202.94: bytes=32 time=30ms TTL=46
Reply from 209.85.202.94: bytes=32 time=34ms TTL=46
Ping statistics for 209.85.202.94:
Packets: Sent = 30, Received = 30, Lost = 0 (0% loss),
Approximate round trip times in milli-seconds:
Minimum = 28ms, Maximum = 39ms, Average = 32ms
C:\Users\####>ping 87.237.34.200 -n 30
Pinging 87.237.34.200 with 32 bytes of data:
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Request timed out.
Ping statistics for 87.237.34.200:
Packets: Sent = 30, Received = 0, Lost = 30 (100% loss),
C:\Users\####>