Practice Questions - Managing Uncertainty

Practice Questions - Managing Uncertainty - Practice...

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Practice Questions: Managing Uncertainty 1. To support national health week, the American Heart Association plans to install a free blood pressure testing booth in South Coast Plaza for a week. Previous experience indicates that, on the average, 10 persons per hour request a test. Assume the inter-arrival times are exponentially distributed. The blood measurements take a constant time of 4.8 minutes. a. What is the utilization of the blood pressure machine? b. What is the average number of people in the system (sum of those waiting and those getting their blood pressure checked)? c. How long, on average, do people spend in the system (waiting + service time)? d. What is the average waiting time (before you see a nurse)? e. What is the average number of people waiting in line? 2. At the California border inspection station, vehicles arrive at the rate of 10 per minute. The inter-arrival times are exponentially distributed. For simplicity assume that there is only one lane and one inspector, who can inspect at the rate of 12 per minute in an exponentially distributed fashion. a. What is the average number of cars waiting to be inspected?
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