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You are modeling the uncertain time associated with processing time at a station. You know that...

You are modeling the uncertain time associated with processing time at a station. You know that the mean processing time is 5 minutes. You have observed data suggesting that the minimum process time is 4.5 minutes and the maximum process time is 5.5 minutes.

a. If you use the uniform distribution to model the process time, what is the CV of the process time?

b. If you use the normal distribution to model the process time, what is the CV of the process time?

c. If you use the exponential distribution to model the process time, what is the CV of the process time? (Hint: Ignore the upper bound.)

d. If you use the triangular distribution to model the process time, what is the CV of the process time?

e. You have two options for improving station performance. You can reduce the mean of the process time to 4.8 without changing the lower and upper bounds, or you can change the lower and upper bounds to 4.75 and 5.25 respectively without changing the mean. Which gives a lower CV using the triangular distribution?

CV = coefficient of variation

math   Advanced-Math   
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Answer #1

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