The problem is that Server A connection establish faster than B by client application.
We have checked this thorough different client application including dbaccess, which is running on client machine.
These are two different A and B db servers on LAN with same spec.
There are client applications that are connecting them remotely on LAN.
Client application could be even dbaccess, it is not necessary that only server are communicate each other there are some client machine on which Win98/XP/2000 installed.