An elevator in a manufacturing plant carries exactly 400 kilograms of material. There are three kinds of
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Question:
An elevator in a manufacturing plant carries exactly 400 kilograms of material. There are three kinds of material packaged in boxes that arrive for a ride on the elevator. These materials and their distributions of time between arrivals are as follows:
Material | Weight (kg) | Interarrival Time (minutes) |
A | 200 | 5 +- 2 (uniform) |
B | 100 | 6 (constant) |
C | 50 | P(2) = 0.33, P(3) = 0.67 |
It takes the elevator 1 minute to go up to the second floor, 2 minutes to unload, and 1 minute to return to the first floor. The elevator does not leave the first floor unless it has a full load. Simulate 1 hour of operation of the system.
- What is the average transit time for a box of material A (time from its arrival until it is unloaded)?
- What is the average waiting time for a box of material B?
- How many boxes of material C made the trip in 1 hour?
Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
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