midtermSol

# midtermSol - IEOR 4404 Simulation Prof Mariana...

This preview shows pages 1–2. Sign up to view the full content.

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:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

midtermSol - IEOR 4404 Simulation Prof Mariana...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online