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: TaskDuration(minutes)ImmediatePredecessora0.2-b0.6ac0.4bd0.7-e1.6df1.8cg2e, f d. Use the calculated cycle time. Assign tasks to workstations on the basis of most following tasks. Use shortest processing time as atiebreaker. If ties still exist, assume indifference in choice.Work stationsFollowing TasksIIIIIVe. Compute the percent idle time and percent efficiency for the assignment in part d. Note: if the calculated cycle time and the actualbottleneck 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 decimalpoint. For example, round 1.83 up to 1.9.)Minimum cycle timeminutes per unitMaximum cycle timeminutes per unitCalculated cycle timeminutes per unitc. Determine the minimum number of stations needed. (Use your rounded cycle time from Part b. Round up your answer to a wholenumber. Note that rounding up to one decimal point may reduce output to slightly less than 230 and this is fine.)Minimum number of stations

Answered: d. Use the calculated cycle time.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

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
%

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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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: