Question 1
A warehouse manager needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product suggests the following probability distribution. Convert this distribution into random number intervals.
Demand during lead time | Probability |
100 | .02 |
120 | .15 |
140 | .25 |
160 | .15 |
180 | .13 |
200 | .30 |
Question 2
A distribution of service times at a waiting line shows that service takes 6 minutes 40% of the time, 7 minutes 30% of the time, 8 minutes 20% of the time, and 9 minutes 10% of the time. Prepare the probability distribution, the cumulative probability distribution, and the random number intervals for this problem. The first five random numbers are 37, 69, 53, 80, and 60. What is the average service time of this simulation run?