Johnson Cogs wants to set up a line to serve 80 customers per hour. The work elements and their precedence relationships are shown in the following table: Work Element ABCDEFGHI с J Total Time (sec) Immediate Predecessor(s) 27 25 34 28 6 20 10 14 12 26 202 a. What is the theoretical minimum number of workstations? number.) None 4400000 으로 D, E F, G D H, I stations. (Enter your response rounded up to the next whole b. How many stations are required using the longest work element decision rule? stations. (Enter your response as an integer.) c. Suppose that a solution requiring five stations is obtained. What is its efficiency?%. (Enter your response as a real number rounded to two decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 16P
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Johnson Cogs wants to set up a line to serve 80 customers per hour. The work elements and their precedence relationships
are shown in the following table:
Work Element
A
B
C
E
F
LL C
G
H
I
Total
Time (sec) Immediate Predecessor(s)
27
25
34
28
6
20
10
14
12
26
202
a. What is the theoretical minimum number of workstations?
number.)
None
A
A
B
B
C
C
D, E
F, G
H, I
stations. (Enter your response rounded up to the next whole
b. How many stations are required using the longest work element decision rule?
an integer.)
c. Suppose that a solution requiring five stations is obtained. What is its efficiency?
number rounded to two decimal places.)
stations. (Enter your response as
%. (Enter your response as a real
Transcribed Image Text:Johnson Cogs wants to set up a line to serve 80 customers per hour. The work elements and their precedence relationships are shown in the following table: Work Element A B C E F LL C G H I Total Time (sec) Immediate Predecessor(s) 27 25 34 28 6 20 10 14 12 26 202 a. What is the theoretical minimum number of workstations? number.) None A A B B C C D, E F, G H, I stations. (Enter your response rounded up to the next whole b. How many stations are required using the longest work element decision rule? an integer.) c. Suppose that a solution requiring five stations is obtained. What is its efficiency? number rounded to two decimal places.) stations. (Enter your response as %. (Enter your response as a real
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