The National State Bank is trying to make sure that they have enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. They are only concerned with the last hour of the day from 4:00 to 5:00 P.M. It takes 5 minutes per customer to be processed by the tellers. The average customer arrivals are shown in the table below. TIME 4:00-4:05 4:05-4:10 4:10-4:15 4:15-4:20 4:20-4:25 4:25-4:30 4:30-4:35 4:35-4:40 4:40-4:45 4:45-4:50 4:50-4:55 4:55-5:00 5:00-5:05 Total CUSTOMERS ARRIVING 1 8 7 11 16 17 8 10 3 5 2 0 92 The bank currently has 8 teller stations, and all are staffed during the Friday afternoon rush hour. a. What is the current maximum output at the bank during rush hour? customers per hour Current maximum output b. Can the bank process all the customers by 5:00 P.M.? (Click to select), the bank (Click to select) process all the customers by 5:00 P.M. c. What is the maximum waiting time for customers, and what time period does it occur in? (Round your answer to 2 decimal places.) The maximum waiting time is minutes and it occurs from (Click to select)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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The National State Bank is trying to make sure that they have enough tellers to handle the Friday
afternoon rush of workers wanting to cash their paychecks. They are only concerned with the last hour of
the day from 4:00 to 5:00 P.M. It takes 5 minutes per customer to be processed by the tellers. The
average customer arrivals are shown in the table below.
TIME
4:00-4:05
4:05-4:10
4:10-4:15
4:15-4:20
4:20-4:25
4:25-4:30
4:30-4:35
4:35-4:40
4:40-4:45
4:45-4:50
4:50-4:55
4:55-5:00
5:00-5:05
Total
CUSTOMERS
ARRIVING
1
4
487
11
16
17
8
10
3520
0
92
The bank currently has 8 teller stations, and all are staffed during the Friday afternoon rush hour.
a. What is the current maximum output at the bank during rush hour?
Current maximum output
customers per hour
b. Can the bank process all the customers by 5:00 P.M.?
(Click to select), the bank (Click to select) process all the customers by 5:00 P.M.
c. What is the maximum waiting time for customers, and what time period does it occur in? (Round your
answer to 2 decimal places.)
The maximum waiting time is
minutes and it occurs from (Click to select)
Transcribed Image Text:The National State Bank is trying to make sure that they have enough tellers to handle the Friday afternoon rush of workers wanting to cash their paychecks. They are only concerned with the last hour of the day from 4:00 to 5:00 P.M. It takes 5 minutes per customer to be processed by the tellers. The average customer arrivals are shown in the table below. TIME 4:00-4:05 4:05-4:10 4:10-4:15 4:15-4:20 4:20-4:25 4:25-4:30 4:30-4:35 4:35-4:40 4:40-4:45 4:45-4:50 4:50-4:55 4:55-5:00 5:00-5:05 Total CUSTOMERS ARRIVING 1 4 487 11 16 17 8 10 3520 0 92 The bank currently has 8 teller stations, and all are staffed during the Friday afternoon rush hour. a. What is the current maximum output at the bank during rush hour? Current maximum output customers per hour b. Can the bank process all the customers by 5:00 P.M.? (Click to select), the bank (Click to select) process all the customers by 5:00 P.M. c. What is the maximum waiting time for customers, and what time period does it occur in? (Round your answer to 2 decimal places.) The maximum waiting time is minutes and it occurs from (Click to select)
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