On the correlation of sojourn times in open networks of exponential multiserver queues
We consider the joint distribution of successive sojourn times of customers traversing a path in Jackson network. It is shown in a general setting that sojourn times exhibit positive dependence. This especially applies to paths which admit overtaking due to the network topology as well as due to the internal node structure.
exponential multiserver joint sojourn time vector association positive upper orthant-dependence