Anyone responsible for a local network should always have a series of tools for their work, and without doubt one of the most important is a good Trace Route. It lets you diagnose all packets sent via the LAN get to their destination from their origin. Just such a tool is this Roadkil´s Trace Route.
Roadkil´s Trace Route doesn`t just detect and verify which packets are sent correctly, but also tells you of the access speed, the RTT statistics, the information on each machine name, etc.
Also, with Roadkil´s Trace Route you can control all the traffic that moves about the LAN, and calculate how many pings are necessary to access one machine from another. Roadkil´s Trace Route is totally free.