The weakest link in the system can usually be identified by observing queue behaviour over a number of rounds. You would expect to see a build-up of people before the weakest link and, perhaps a dearth of people directly after it, as illustrated in the image below.
When making the observations it is important to remember that different stations have different average capacities. This means that it is not necessarily the absolute number of people before a station that is important as that particular station may have the capacity to service the number waiting. Rather, the observation should note whether there is a tendency for the number to increase, i.e. does it have the capacity to cope with what it is receiving from previous stations?