As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:   Task Duration (minutes) Immediate Predecessor a 0.2 - b 0.4 a c 0.2 b d 0.4 - e 1.2 d f 1.2 c g 1.0 e, f     Click here for the Excel Data File   Do each of the following:   a. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round your answers to 1 decimal place.)         b. Determine the minimum number of stations needed. (Round your answer to the next whole number.)         c. Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.          d. Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. (Round your answer to 2 decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:
 

Task Duration
(minutes)
Immediate
Predecessor
a 0.2 -
b 0.4 a
c 0.2 b
d 0.4 -
e 1.2 d
f 1.2 c
g 1.0 e, f
 

 

Click here for the Excel Data File

 

Do each of the following:
 
a. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round your answers to 1 decimal place.)
  

 

  


b. Determine the minimum number of stations needed. (Round your answer to the next whole number.)
 
 

 


 
c. Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.
   

 

  


d. Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. (Round your answer to 2 decimal places.)
  
 

 
 
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ISBN:
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