Problem: Consider a single machine that has access to unlimited supply of raw material. The machine works continuously to process raw material one unit at a time at a rate of 30 units per hour. Assume now that there is room for at most three units to queue at machine 2. Once the queue size at machine 2 reaches 3, units are diverted away to a different facility. What is the probability that an arriving unit is diverted? What is the throughput of the system (i.e., out of machine 2)?