ex_9 - Spring 2009 OR3510/5510 Problem Set 9; due April 20...

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Spring 2009 OR3510/5510 Problem Set 9; due April 20 as usual. Reading: We are transitioning out of Chapter 7 and will spend a bit of time in Chapter 8. x/y=page x, problem y in Ross. (1) The data set service.txt in “course documents/data” represents 1000 service times reported by Company X. Would you be comfortable modeling this data with the exponential distri- bution? Why or why not? (2) 480/7 (3) 480/9 (4) 485/27 (5) The nuclear reactor supplying power to Harry’s restaurant has a certain component with lifetime distribution F 1 ( x ). If the component is operative, the system is in state 1. Upon failure, there is probability p that this component is instantaneously replaced by an attentive maintenance man (0 < p < 1). If not, the system passes into state 2. After a random amount of time with distribution F 2 ( x ), a fail safe mechanism shuts down the reactor. The system is shut down (state 3) for a random amount of time with distribution F 3 ( x ). Then it passes back into state 1 and the reactor operation proceeds as before. Let
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This note was uploaded on 09/22/2009 for the course ORIE 3510 taught by Professor Resnik during the Summer '09 term at Cornell University (Engineering School).

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