In: Operations Management
When is Cpk = Cpu = Cpl = Cp?
Cpk = Cpu = Cpl = Cp when the mean
is centered between Upper Specification Limit USL and Lower
Specification limit LSL
Cp =
When Mean is centered between USL and LSL, USL -
=
- LSL
Cpu =
USL = 3
* Cpu +
Cpl =
LSL =
- 3
* Cpl
Cpk = min (,
)
As seen from above, when USL -
=
- LSL, Cpu = Cpl = Cpk
Similarly, Cp =
=
=
However, Cpu = Cpl, Cp =
= Cpu
Hence, Cp = Cpu
Thus, Cpk = Cpu = Cpl = Cp
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