You manage a hotel with one reception desk. On a typical day, you receive on average 8 customers per hour. It takes on average 6 minutes to check-in the customer. For the sake of this problem, we assume that checking-in ONLY happens daily between 2:00-5:00pm.
Assume that the inter-arrival times between customers are exponentially distributed, and that the time to check-in is also exponentially distributed.
a) What are the demand rate and service rate at the reception? What is the utilization of the reception desk during checking times?
b) What is the average time that a customer has to wait before actually being
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