Question: Consider a single-server model with Poisson input and an average customer arrival rate of 30/h. Currently, service is provided by a mechanism that takes exactly

Consider a single-server model with Poisson input and an average customer arrival rate of 30/h. Currently, service is provided by a mechanism that takes exactly 1.5 min. Suppose the system can be served instead by a mechanism that has an exponential service-time distribution. What must be the mean service time for this mechanism to ensure

(a) the same average time a customer spends in the system, or

(b) the same average number of customers in the system?

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