Question: Consider Example 9.2 in Section 9.5 on determining the optimal sequence to land the planes. Suppose that the landing times are random variables with standard

Consider Example 9.2 in Section 9.5 on determining the optimal sequence to land the planes. Suppose that the landing times are random variables with standard deviation equal to one-third of the mean in each case.

a. In what sequence should the planes be landed in order to minimize the expected average weighted flow time, if the weights to be used are the reciprocals of the number of passengers on each plane?

b. For the sequence you found in part (a), what is the probability that all planes are landed within 100 minutes? Assume that the landing times are independent normally distributed random variables. Will your answer change if the planes are landed in a different sequence?

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