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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).
 Summer '09
 RESNIK

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