what kind of probability distribution would you use to model network queues

Ben1220

As an example, say 10 computers are connected to the network through 1 cable, (and so only 1 can be connected at any one time) and each computer needs to be on the network for 12 minutes an hour on average, then what kind of pmf would you use to model the number of computers that simultaneously need the line? It looks like a discrete random variable, but none of the ones I know seem to fit this situation exactly.

zli034

queuing theory?