Data on each station are provided in the following table: + Workers Reception Eye Test Written Test Issue License 1 1 3 9 a) What is the bottleneck? b) What is the implied utilization of each resource? Activity time per worker (in min) 0.4 5.0 15.0 6.0

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
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Data on each station are provided in the following table:
+
Workers
Reception
Eye Test
Written Test
Issue License
1
1
3
9
a) What is the bottleneck?
b) What is the implied utilization of each resource?
Activity time per worker
(in min)
0.4
5.0
15.0
6.0
Transcribed Image Text:Data on each station are provided in the following table: + Workers Reception Eye Test Written Test Issue License 1 1 3 9 a) What is the bottleneck? b) What is the implied utilization of each resource? Activity time per worker (in min) 0.4 5.0 15.0 6.0
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.
75%
Reception
10%
15%
Eye Test
85%
Written
Te st
15%
Exit
10%
90%
→ Exit
Issue
License
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. 75% Reception 10% 15% Eye Test 85% Written Te st 15% Exit 10% 90% → Exit Issue License Exit
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