Managing Uncertainty Answers

Managing Uncertainty Answers - Practice Questions Managing...

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Unformatted text preview: Practice Questions: Managing Uncertainty 1. To support national health week, the heart association plans to install a free blood pressure testing booth in a shopping mall 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 can be made in a constant time of 4.8 minutes. a. What is the utilization of the blood pressure machine? 8 . 6 8 . 4 = = ρ b. What is the average number in system (those waiting and those getting their blood pressure checked)? customers C C N s a s l 6 . 1 5 . * 2 . 8 . 2 1 2 . 8 . 2 1 2 4 2 2 ) 1 ( 2 = = + = +- = + ρ ρ customers N N l s 4 . 2 8 . 6 . 1 = + = + = ρ c. What is the average time in the system (waiting + service time)? From Little’s rule we know 4 . 14 24 . * 60 24 . 10 4 . 2 = = = = hours t s d. What is the average waiting time? min 6 . 9 16 . * 60 16 . 10 6 . 1 = = = = hours t s e. What is the average number in line? 1.6 customers 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 the 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? 6 5 12 10 = = ρ customers C C N s a s l 17 . 4 6 25 2 1 1 ) 6 / 1 ( ) 6 / 5 ( 2 1 4 2 2 ) 1 ( 2 = = + = +- = + ρ ρ b. What is the average number in the system – either waiting or being...
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This test prep was uploaded on 02/24/2008 for the course BUAD 311T taught by Professor Vaitsos during the Fall '07 term at USC.

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Managing Uncertainty Answers - Practice Questions Managing...

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