Reconsider the queueing system described in Prob. 17.4-6. Suppose now that type 1 customers are more important than type 2 customers. If the queue discipline were changed from first-come-first-served to a priority system with type 1 customers being given nonpreemptive priority over type 2 customers, would this increase, decrease, or keep unchanged the expected total number of customers in the system?
(a) Determine the answer without any calculations, and then present the reasoning that led to your conclusion.
(b) Verify your conclusion in part (a) by finding the expected total number of customers in the system under each of these two queue disciplines.