We have a server application which is facing TCP exhaustion problems at around 4000 connections. This will occur every 3 or 4 weeks (approximately). The vendor, which has created this server application tells us after examining the output of netstat -b that some connections are remaining open even if the clients have dropped.
I've been given the task of investigating why a particular client application is not closing the TCP connection properly. I'm of the belief that if a client computer is shut down, that it can not POSSIBLY report from the server that a TCP connection is still established with that client. Unfortunately, I can not find any information to validate my view. I don't want to waste any more time investigating a potential problem that I don't think can even be a problem.
tldr;
Can a server report an established connection to a computer that is turned off?