hat is the implied utilization of the receptionist?

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 26P
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what is the implied utilization of the receptionist?

The local Department of Motor Vehicles issues new licenses and renews licenses. (See the diagram below.) The
office receives 110 customers per hour. All customers see a receptionist first. The receptionist directs them in one
of three directions: 75% go directly to issue license (staffed by 9 workers) where a new photo and license are
done, 15% are required to take an eye test (staffed by one worker), and 10% must first take a multiple-choice
electronic written test (on one of three computers). Only 85% of people pass the eye test and the remaining 15%
exit. The customers who pass the eye test proceed to the written test where 10% of the people fail it, while 90%
pass the test and proceed to issue license.
Reception
75%
Reception
Eye Test
10%
Written Test
Issue License
15%
Eye Test
85%
Written
Test
Workers
1
1
3
9
15%
10%
Exit
Data on each station are provided in the following table
90%
Exit
Issue
License
Activity time per worker
(in min)
0.4
5.0
15.0
6.0
Exit
Transcribed Image Text:The local Department of Motor Vehicles issues new licenses and renews licenses. (See the diagram below.) The office receives 110 customers per hour. All customers see a receptionist first. The receptionist directs them in one of three directions: 75% go directly to issue license (staffed by 9 workers) where a new photo and license are done, 15% are required to take an eye test (staffed by one worker), and 10% must first take a multiple-choice electronic written test (on one of three computers). Only 85% of people pass the eye test and the remaining 15% exit. The customers who pass the eye test proceed to the written test where 10% of the people fail it, while 90% pass the test and proceed to issue license. Reception 75% Reception Eye Test 10% Written Test Issue License 15% Eye Test 85% Written Test Workers 1 1 3 9 15% 10% Exit Data on each station are provided in the following table 90% Exit Issue License Activity time per worker (in min) 0.4 5.0 15.0 6.0 Exit
Expert Solution
Step 1

Implied Utilization = (Actual Output / Maximum Possible Output) x 100%

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