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Problem 1.Historical data is collected from an assembly process that consists of 5 operations. Determine the Rolled-Throughput...

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Mechanical Engineering

Problem 1.Historical data is collectedfrom an assembly process that consists of 5 operations. Determinethe Rolled-Throughput Yield, Normalized Yield, Normalized Defectsper Unit, and Total Defects per Unit (TDPU), given the followinghistorical 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

Answer & Explanation Solved by verified expert
4.2 Ratings (518 Votes)

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
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