The rotary car dumper dumps 200,000 ore cars per year. There were two derailments in the first week of operation due to partially dumped ore cars (PDOC). a) Use an event tree to determine the probability of a partially dumped ore car. The OCD company quickly realised that they would not be able to sustain the costs of two derailments per week. They hired Steve. Steve's job is to monitor a video feed of the post-dumped ore cars and to re-dump any that he considers to be partially dumped. Steve's probationary period was 3 months. At Steve's performance review, it was reported that he had performed 30 re-dumps, but still had 2 derailments occur. b) Add Steve to your event tree determined in (a) and identify Steve's performance in a. Correctly identifying a partially dumped ore car; and b. Correctly identifying a fully dumped ore car.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
O T O
The rotary car dumper dumps 200,000 ore cars per year.
There were two derailments in the first week of operation due to partially dumped ore cars (PDOC).
a) Use an event tree to determine the probability of a partially dumped ore car.
The OCD company quickly realised that they would not be able to sustain the costs of two derailments
per week. They hired Steve. Steve's job is to monitor a video feed of the post-dumped ore cars and
to re-dump any that he considers to be partially dumped.
Steve's probationary period was 3 months. At Steve's performance review, it was reported that he
had performed 30 re-dumps, but still had 2 derailments occur.
b) Add Steve to your event tree determined in (a) and identify Steve's performance in
a. Correctly identifying a partially dumped ore car; and
b. Correctly identifying a fully dumped ore car.
The OCD company knows that Steve is doing the best job he can, but the risk of continued derailments
is not tolerable. Their tolerable rate of derailments is once per decade. They have also set a target of
one unnecessary re-dump per day.
A low-demand control function is required that reduces the derailment rate and spurious dumping
rate to a tolerable level.
c) Add a layer of protection (the control function) to the event tree that acts in a loo2
arrangement with Steve. Identify the integrity requirements to meet the:
a. Derailment target.
b. Unnecessary re-dumping target (spurious trip rate).
d) What is the Safety Integrity Level (SIL) of the required safety function?
Low-demand Safety System
SIL
PFD.vE
2 10 to < 10*
2 104 to < 10
2 10 to < 10
2 10 to < 101
4
2
1
e) What proof test interval would you choose for testing the control function?
Filters
Add a caption.
> My group
Transcribed Image Text:O T O The rotary car dumper dumps 200,000 ore cars per year. There were two derailments in the first week of operation due to partially dumped ore cars (PDOC). a) Use an event tree to determine the probability of a partially dumped ore car. The OCD company quickly realised that they would not be able to sustain the costs of two derailments per week. They hired Steve. Steve's job is to monitor a video feed of the post-dumped ore cars and to re-dump any that he considers to be partially dumped. Steve's probationary period was 3 months. At Steve's performance review, it was reported that he had performed 30 re-dumps, but still had 2 derailments occur. b) Add Steve to your event tree determined in (a) and identify Steve's performance in a. Correctly identifying a partially dumped ore car; and b. Correctly identifying a fully dumped ore car. The OCD company knows that Steve is doing the best job he can, but the risk of continued derailments is not tolerable. Their tolerable rate of derailments is once per decade. They have also set a target of one unnecessary re-dump per day. A low-demand control function is required that reduces the derailment rate and spurious dumping rate to a tolerable level. c) Add a layer of protection (the control function) to the event tree that acts in a loo2 arrangement with Steve. Identify the integrity requirements to meet the: a. Derailment target. b. Unnecessary re-dumping target (spurious trip rate). d) What is the Safety Integrity Level (SIL) of the required safety function? Low-demand Safety System SIL PFD.vE 2 10 to < 10* 2 104 to < 10 2 10 to < 10 2 10 to < 101 4 2 1 e) What proof test interval would you choose for testing the control function? Filters Add a caption. > My group
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman