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Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation A then operation B are performed on the same machine). Assume the company will be operating five days per week 8 hours per day. The following information is known: Operation Standard Time Efficiency Reliability Defect Rate A 3 min 95% 95% 2% B 5 min 95% 90% 5% a. In order to produce 1000 units of X in a week  units X is scheduled weekly for Operation B (due to 5% scrap ratio)  units X is scheduled weekly for Operation A (due to 2% scrap ratio) b. Based on your answer in part a, find the number of machines required to produce 1000 units of X per week.  The total time required to perform Operation B = minutes per week  The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine  machines are required c. The machine requires maintenance in each working day. Each maintenance takes 20 minutes. Find the number of machines required to produce 1000 parts per week with this additional information by stating your assumptions clearly.

Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation A then operation B are performed on the same machine). Assume the company will be operating five days per week 8 hours per day. The following information is known: Operation Standard Time Efficiency Reliability Defect Rate A 3 min 95% 95% 2% B 5 min 95% 90% 5% a. In order to produce 1000 units of X in a week  units X is scheduled weekly for Operation B (due to 5% scrap ratio)  units X is scheduled weekly for Operation A (due to 2% scrap ratio) b. Based on your answer in part a, find the number of machines required to produce 1000 units of X per week.  The total time required to perform Operation B = minutes per week  The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine  machines are required c. The machine requires maintenance in each working day. Each maintenance takes 20 minutes. Find the number of machines required to produce 1000 parts per week with this additional information by stating your assumptions clearly.

Practical Management Science
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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Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation A then
operation B are performed on the same machine). Assume the company will be operating five days per
week 8 hours per day. The following information is known:
Operation Standard Time Efficiency Reliability Defect Rate
A 3 min 95% 95% 2%
B 5 min 95% 90% 5%
a. In order to produce 1000 units of X in a week
 units X is scheduled weekly for Operation B (due to 5% scrap ratio)
 units X is scheduled weekly for Operation A (due to 2% scrap ratio)

b. Based on your answer in part a, find the number of machines required to produce 1000
units of X per week.
 The total time required to perform Operation B = minutes per week
 The total time required to perform Operation A = minutes per week
H= Available Time in a week = minutes /week
Thus
FA = .
FB = .
Since both of the operations A and B are performed on the same machine
 machines are required
c. The machine requires maintenance in each working day. Each maintenance takes 20
minutes. Find the number of machines required to produce 1000 parts per week with this additional
information by stating your assumptions clearly.

Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation A then operation B are performed on the same machine). Assume the company will be operating five days per week 8 hours per day. The following information is known: Operation Efficiency Reliability Defect Rate Standard Time А 3 min 95% 95% 2% B 5 min 95% 90% 5% lA OA = l8 Og = 1000 parts/week Operation A Operation B PA=2% P3=5%
Transcribed Image Text:Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation A then operation B are performed on the same machine). Assume the company will be operating five days per week 8 hours per day. The following information is known: Operation Efficiency Reliability Defect Rate Standard Time А 3 min 95% 95% 2% B 5 min 95% 90% 5% lA OA = l8 Og = 1000 parts/week Operation A Operation B PA=2% P3=5%
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