I would suggest you to have a look at these links :

http://blogs.msdn.com/b/jneave/archive/2011/04/15/tcp-provider-error-semaphore-timeout-from-an-ssis-package.aspx

http://blogs.msdn.com/b/oldnewthing/archive/2014/07/17/10543082.aspx

(Remark :according this last link , it seems that this problem was usual on Windows Server 2003 , Server 2005 and their old TCP/IP )

http://blogs.msdn.com/b/prethishkumar/archive/2012/02/04/high-performing-biztalk-server-2009-biztalk-server-2010-server-setup.aspx

Maybe , I have read your question too quickly but I don't think to have seen any information about the full version ( year + last installed SP ) of your SQL Server and about the version/edition of the OS of the machine where the SQL Server is installed. If you could provided this information , it would be useful to find the cause of your problem.

Have a nice day.