# Calculations of product benchmarks for each component for Product Report

Adjusted number of units for the ith component
AdjUi = Ci * BU
###### Note

If complexity is not used, AdjUi = ObsUi

Adjusted number of defects for the ith component
###### Note

If complexity is not used, AdjDi = ObsDi

Adjusted total number of opportunities for the ith component
###### Note

If complexity is not used, AdjTOi = ObsUiOi

DPOi
Number of defects per total opportunity for the ith component
When 0 < defects < total opportunities
When defects = 0, based on a 100% upper bound for DPOi
When defects = total opportunities, based on a 100% lower bound for DPOi
DPUi
Number of defects per unit for the ith component
DPMOi
Defects per million opportunities for the ith component
DPMOi = DPOi * 106
Z STi
Benchmark Z (short-term) for the ith component
Z STi = Φ-1(1 – DPOi) + Shifti
YTPi
Throughput yield for the  ith component
YTPi = (1 – DPOi)Oi
YRTi
Rolled throughput yield for the ith component
YRTi = (YTPi)Ci
###### Note

If complexity is not used, YRTi = YTPi

TD
TDPO
Adjusted total defects per opportunity
TDPMO
Total defects per million opportunity
TDPMO = TDPO * 106
TShift
Combined shift factor
Z.Bench
Combined benchmark Z (short-term)
Z.Bench = Φ-1(1 – TDPO) + TShift

## Notation

TermDescription
ObsUi Observed number of units for the ith component
OiNumber of opportunities per unit for the ith component
ObsDiObserved number of defects for the ith component
ShiftiShift factor for the ith component
BU Number of base units
CiComplexity for the ith component