midtermSol - IEOR 4404 Simulation Prof. Mariana...

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Midterm Solutions Simulation 25th October 2006 Prof. Mariana Olvera-Cravioto Page 1 of ?? Midterm Solutions 1. (a) The relevant computations for part (a) are summarized in the following table: Customer Arrival Joins line Entry to service Departure time 1 1 1 1 7 2 5 2 5 10 3 8 1 8 13 4 9 1 13 20 5 11 2 11 15 6 14 2 15 21 7 16 2 21 26 i. Customer 4 goes to line 1. ii. No customers are turned away by time T = 15. (b) i. There is a temporal effect here: the number of customers that show up on consecutive days of the week may be independent but are not likely to be identically distributed. So, the assumption is not fully accurate. ii. X = 1 n n i =1 X i 3 . 71 iii. S 2 ( n ) = 1 n - 1 n i =1 ( X i - X ) 2 2 . 07 iv. The 95 percent confidence interval is given by: X ± z 1 - α/ 2 × r S 2 ( n ) n where z 1 - α/ 2 = 1 . 96. That is, 3 . 71 ± 0 . 75 v. Solve: 0 . 5 / 2 = 1 . 96 × 1 n × 1 . 4 where s is the sample standard deviation. Get:
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midtermSol - IEOR 4404 Simulation Prof. Mariana...

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