Stop listening on service port if all pool members are offline

are you using http profile?

 

 

sol8082: Overview of TCP connection set-up for BIG-IP LTM virtual server types

 

http://support.f5.com/kb/en-us/solutions/public/8000/000/sol8082.html

 

 

if http is required, can you try to enable verified accept in tcp profile?

 

 

hope this helps.