Part X requires operation A and operation B on the SAME MACHINE in sequence (First Operation operation B are performed on the same machine). Assume the company will be operating five da 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% O, = l8 Og = 1000 parts/week Operation A Operation B PA=2% Pg=5%

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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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)

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

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%
В
5 min
95%
90%
5%
lA
OA = I8
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 Standard Time Efficiency Reliability Defect Rate A 3 min 95% 95% 2% В 5 min 95% 90% 5% lA OA = I8 Og = 1000 parts/week Operation A Operation B PA=2% P3=5%
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