Consider a bank with five tellers and one queue. Bank hours are 9am-5pm but stays open until all customers in the bank at 5pm have been served. The table below shows typical output statistics from 10 independent simulation replications for the bank. a. Obtain a point estimate and approximate 90 percent confidence interval for the expected average delay of a customer over a day. b. Obtain a point estimate and approximate 90 percent confidence interval for the expected proportion of customers with a delay less than 5 minutes over a day, which is given
Consider a bank with five tellers and one queue. Bank hours are 9am-5pm but stays open until all customers in the bank at 5pm have been served. The table below shows typical output statistics from 10 independent simulation replications for the bank. a. Obtain a point estimate and approximate 90 percent confidence interval for the expected average delay of a customer over a day. b. Obtain a point estimate and approximate 90 percent confidence interval for the expected proportion of customers with a delay less than 5 minutes over a day, which is given
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider a bank with five tellers and one queue. Bank hours are 9am-5pm but stays open until all customers in the bank at 5pm have been served. The table below shows typical output statistics from 10 independent simulation replications for the bank.
a. Obtain a point estimate and approximate 90 percent confidence interval for the expected average delay of a customer over a day.
b. Obtain a point estimate and approximate 90 percent confidence interval for the expected proportion of customers with a delay less than 5 minutes over a day, which is given by
Transcribed Image Text:E!,(0,5)
E(X)= E
N
if D<5
1,
1,(0,5) =
0,
otherwise
For i =1,2, ., N.
Results for 10 independent replications of the bank model
Average delay
in queue
Proportion of
Average queue customers delayed
<5 minutes
Number
Finished Time
Replication
served
(hours)
(minutes)
length
1
484
8.12
1.53
1.52
0.917
475
8.14
1.66
1.62
0.916
3
484
8.19
1.24
1.23
0.952
4
483
8.03
2.34
2.34
0.822
5
455
8.03
2.00
1.89
0.840
461
8.32
1.69
1.56
0.866
7
451
8.09
2.69
2.50
0.783
8
486
8.19
2.86
2.83
0.782
9
502
8.15
1.70
1.74
0.873
10
475
8.24
2.60
2.50
0.779
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