Consider the following four-workstation production line. Station Number of Machi
ID: 442489 • Letter: C
Question
Consider the following four-workstation production line.
Station
Number of Machines
Processing Rate (jobs/hour) per Machine
1
1
20
2
6
4
3
3
5
4
2
6
1) Assume that the current inventory level in this production line is 42 parts. What is the flow rate under the practical worst case? If the actual flow rate of this line is 10 jobs per hour, is the line running efficiently or not?
2) If we add an identical machine to Station 4 and keep the same number of inventory as in (b), i.e., 42, what is the flow rate under the practical worst case? If after adding this identical machine, the actual flow rate of the line increases to 14 jobs per hour, is the line running efficiently now?
3) Again, assume that the current inventory level in this production line is 42 parts. If we speed up both machines in Station 4 from each processing 6 jobs per hour to each processing 8 jobs per hour and keep the same number of inventory, what is the flow time under the practical worst case? If the actual flow time that we observed from the production line is 4 hours, is the line running efficiently now?
Station
Number of Machines
Processing Rate (jobs/hour) per Machine
1
1
20
2
6
4
3
3
5
4
2
6
Explanation / Answer
1)
Station 1= 1 machines * 4 hours and 20 minutes *10 parts per hour
to complete 42 parts
Station2 = 6 machines * 4hours and 20 minutes * 10 parts per hour
=252 parts
Station 3 = 3 machines* 4hours and 20 minutes * 10 parts per hour
=126 parts
Station 4 = 2 * 4 hours and 20 minutes *10 parts per hour
= 84 parts
Station 4 having low productivity better than station 2 and station 3
station 2 and station 3 having high efficiency
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2)
Station 4 = 14 parts per hour, it takes 3 hours * 2 machines
=84 parts
Yes, one hour decreased but same parts has produced as previously
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3)8 part per hour * 4 hour *2 machines
=64 parts
No , hour increased but output it is decreased
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