IE 305/404
Spring 2008
Chapter 10 Review Questions for Exam 1
Question 1
We are interested in comparing two different systems via simulation.
Two output measures are
collected from the simulation, average time in system (measured in minutes), and fraction of customers
completing service in more than 25 minutes.
Two alternative systems are being considered.
Each system is simulated for ten replicates.
First, 10
replicates of system 1 are made.
Next, 10 independent replicates of system 2 are made.
Finally, 10
replicates of system 2 are made using the method of common random numbers so that random numbers are
synchronized with those used to simulate system 1. Results from all simulations appear in the table below.
System 1
System 2
System 2
Differences
Independent
Common Random
System 1  System 2
Replicates
Number Replicates
Using Common RN
Average time Fraction over Average time Fraction over Average time Fraction over Average time Fraction over
Replicate
in System
25 minutes
in System
25 minutes
in System
25 minutes
in System
25 minutes
1
15.19
0.02
15.65
0.03
16.29
0.04
1.1
0.02
2
12.13
0.01
14.22
0.02
12.58
0.01
0.45
0
3
17.13
0.06
16.17
0.04
19.35
0.13
2.22
0.07
4
17.5
0.07
13.43
0.01
18.4
0.09
0.9
0.02
5
16.88
0.05
15.52
0.03
18.38
0.09
1.5
0.04
6
11.97
0
16.16
0.04
12.84
0.01
0.87
0.01
7
16.83
0.05
12.67
0.01
18
0.08
1.17
0.03
8
18.44
0.09
16.97
0.05
19.18
0.12
0.74
0.03
9
14.9
0.02
11.83
0
16.03
0.04
1.13
0.02
10
15.15
0.02
10.35
0
16.03
0.04
0.88
0.02
Average
15.612
0.039
14.297
0.023
16.708
0.065
1.096
0.026
Std Dev
2.192
0.029
2.174
0.018
2.438
0.043
0.485
0.019
a)
Compare
mean time in system for the
two
systems using the independent replicates.
Use
α
=0.05
and the appropriate confidence interval.
State and justify any necessary assumptions.
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.
 Spring '08
 Storer
 Normal Distribution, Standard Deviation, Variance, Interval finite element, common random numbers

Click to edit the document details