Problem 1.Historical data is collected from an assembly process that consists of
ID: 2088454 • Letter: P
Question
Problem 1.Historical data is collected from an assembly process that consists of 5 operations. Determine the Rolled-Throughput Yield, Normalized Yield, Normalized Defects per Unit, and Total Defects per Unit (TDPU), given the following historical production data:
Operation
Opportunities per Unit
Units Produced
Defects Recorded
Build Rotating Group and Inspect
10
851
75
Install Rotating Group in Housing and Install Fittings
7
1202
72
Perform Functional Test
5
943
82
Clean and Paint with Final Inspection
3
894
70
Install Pulley and Labels
4
1200
88
Operation
Opportunities per Unit
Units Produced
Defects Recorded
Build Rotating Group and Inspect
10
851
75
Install Rotating Group in Housing and Install Fittings
7
1202
72
Perform Functional Test
5
943
82
Clean and Paint with Final Inspection
3
894
70
Install Pulley and Labels
4
1200
88
Explanation / Answer
Solution:
Rolled Throughtput Yield the probability that a manufacturing service complete all the required steps without any failures.
RTY = (R1)(R2)....................(Rn)
DPU = Total no of defects found in sample/Sample size
(1) Calculation for RTY
R1 =1- 75/850 = .91
R2 = 1-72/1202 = .94
R3 = 1-83/943 = .80
R4 = 1-70/894 = .92
R5 = 1-88/1200 =.926
RTY = (R1)(R2)......(R5)
RTY = (.91)(.94)(.80)(.92)(.926)
RTY = .582
(2) DPU Calculation
DPU1 = 75/850 = 0.088
DPU2 = 72/1202 = 0.059
DPU3 = 83/943 = 0.088
DPU4 = 70/894 = 0.078
DPU5 = 88/1200 = 0.073
TDPU = 0.088+0.059+0.088+0.078+0.073
TDPU = 0.386
Thank you
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.