Abstract
We consider the number of overlapping customers in several single- and multiserver queues, i.e., the number of customers whose visit to a service system at some point in time has an overlap with that of a tagged customer. Restricting ourself to the FCFS policy, we obtain the probability generating function and moments of the number of overlaps in the M/G/1, M/G/1/N, M/M/c and G/M/c queue and (as an approximation) the M/G/c queue.
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