Q5. Basic Tools of Process Design Consider the following six tasks that must be assigned to 4 workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. Time to complete task Task 1: Task 2: Task 3: Task 4: Task 5: Task 6: 30 seconds 25 seconds 35 seconds 40 seconds 15 seconds 30 seconds The current conveyor-paced assembly line configuration assigns the workers in the following way: Worker 1: Task 1 Worker 2: Task 2 Task 3, 4 Task 5, 6 a) What is the capacity of the current line? Worker 3: Worker 4: b) Now reallocate these tasks to the same four workers to increase the capacity of the whole line, subject to the conditions that (1) a worker can only perform two adjacent operations and (2) all tasks need to be done in their numerical order. What is the capacity of this line now?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Q5. Basic Tools of Process Design
Consider the following six tasks that must be assigned to 4 workers on a conveyor-paced
assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task.
Time to complete task
Task 1:
Task 2:
Task 3:
Task 4:
Task 5:
Task 6:
30 seconds
25 seconds
35 seconds
40 seconds
15 seconds
30 seconds
The current conveyor-paced assembly line configuration assigns the workers in the following way:
Worker 1:
Task 1
Worker 2:
Task 2
Worker 3:
Worker 4:
Task 3, 4
Task 5, 6
a) What is the capacity of the current line?
b) Now reallocate these tasks to the same four workers to increase the capacity of the whole
line, subject to the conditions that (1) a worker can only perform two adjacent operations and
(2) all tasks need to be done in their numerical order. What is the capacity of this line now?
Transcribed Image Text:Q5. Basic Tools of Process Design Consider the following six tasks that must be assigned to 4 workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. Time to complete task Task 1: Task 2: Task 3: Task 4: Task 5: Task 6: 30 seconds 25 seconds 35 seconds 40 seconds 15 seconds 30 seconds The current conveyor-paced assembly line configuration assigns the workers in the following way: Worker 1: Task 1 Worker 2: Task 2 Worker 3: Worker 4: Task 3, 4 Task 5, 6 a) What is the capacity of the current line? b) Now reallocate these tasks to the same four workers to increase the capacity of the whole line, subject to the conditions that (1) a worker can only perform two adjacent operations and (2) all tasks need to be done in their numerical order. What is the capacity of this line now?
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