d. Use the calculated cycle time. Assign tasks to workstations on the basis of most following tasks. Use shortest processing time as a tiebreaker. If ties still exist, assume indifference in choice. Work stations Following Tasks II II IV e. Compute the percent idle time and percent efficiency for the assignment in part d. Note: if the calculated cycle time and the actual bottleneck station time are different, use the actual bottleneck time in your calculations. (Round your answers to 2 decimal places) Idle percentage Efficiency %

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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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 230 units per 8-hour day. Task times and precedence relationships are as follows:

 

Task Duration
(minutes)
Immediate
Predecessor
a 0.2 -
b 0.6 a
c 0.4 b
d 0.7 -
e 1.6 d
f 1.8 c
g 2 e, f
 
d. Use the calculated cycle time. Assign tasks to workstations on the basis of most following tasks. Use shortest processing time as a
tiebreaker. If ties still exist, assume indifference in choice.
Work stations
Following Tasks
II
II
IV
e. Compute the percent idle time and percent efficiency for the assignment in part d. Note: if the calculated cycle time and the actual
bottleneck station time are different, use the actual bottleneck time in your calculations. (Round your answers to 2 decimal places)
Idle percentage
%
Efficiency
%
Transcribed Image Text:d. Use the calculated cycle time. Assign tasks to workstations on the basis of most following tasks. Use shortest processing time as a tiebreaker. If ties still exist, assume indifference in choice. Work stations Following Tasks II II IV e. Compute the percent idle time and percent efficiency for the assignment in part d. Note: if the calculated cycle time and the actual bottleneck station time are different, use the actual bottleneck time in your calculations. (Round your answers to 2 decimal places) Idle percentage % Efficiency %
b. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round all answers up to one decimal
point. For example, round 1.83 up to 1.9.)
Minimum cycle time
minutes per unit
Maximum cycle time
minutes per unit
Calculated cycle time
minutes per unit
c. Determine the minimum number of stations needed. (Use your rounded cycle time from Part b. Round up your answer to a whole
number. Note that rounding up to one decimal point may reduce output to slightly less than 230 and this is fine.)
Minimum number of stations
Transcribed Image Text:b. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round all answers up to one decimal point. For example, round 1.83 up to 1.9.) Minimum cycle time minutes per unit Maximum cycle time minutes per unit Calculated cycle time minutes per unit c. Determine the minimum number of stations needed. (Use your rounded cycle time from Part b. Round up your answer to a whole number. Note that rounding up to one decimal point may reduce output to slightly less than 230 and this is fine.) Minimum number of stations
Expert Solution
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Since you have posted a question with multiple sub-parts, we will solve the first three subparts for you. To get the remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Assigning each task to a workstation within an assembly line to fulfill the necessary production rate and to achieve a minimum amount of idle time is known as assembly line balance. Line balancing is the process by which tasks are delegated to work stations along the assembly line such that each has roughly the same amount of work.
The advantages of assembly line balancing are:

  • improved effectiveness
  • A rise in productivity
  • Potentially higher earnings and lower costs
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