THE JOINT DISTRIBUTION OF SOJOURN TIMES FOR A CUSTOMER TRAVERSING AN OVERTAKE-FREE SERIES OF QUEUES - THE DISCRETE-TIME CASE

We investigate a cycle of Bernoulli servers in discrete time. We show that the joint distribution of a customer's sojourn times at the nodes during a round trip is of product form and can explicitly be written down. The results are used to prove independence of sojourn times in a n open series of Bemoulli servers.