Six sigma part1: Process capability
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Transcript of Six sigma part1: Process capability
Navneet DwivediPGDM-Operations and Supply Chain
Process Capability
Part1: Process Capability (Cp) Part2: Process Capability Index (Cpk) Part3: Six Sigma Derivation Part4: Implementation of Six Sigma Project
Agenda
What is Process Capability (Cp)??
◦ It is the ability of process to produce output as per the given specification.
◦ It can also be defined as the ratio of voice of customer(VOC) to voice of process(VOP)
where,VOC represents the specifications given by customerVOP represents the actual process parameters
mathematically Cp = (
or Cp = where “ is the standard deviation of the process.
This can be clarified in better way in pictorial representation as follows.
LCL UCLVOC
VOP
−2𝜎 −𝜎−3𝜎 +1𝜎 +2𝜎 +3𝜎
𝜎
How can we say a process as 2/3/6 When to do Process Capability Study ?? Lets consider few example and calculate their Cp value
48
𝜎
Case 1:
UCL: 48 mmLCL: 42 mmSD: 1.2 mm
4246.2 47.4 48.641.4 42.6 43.8
𝐶𝑝=48−426∗1.2
Undesirable
48
𝜎
4246.0 47.0 48.0
Case 2:
UCL: 48 mmLCL: 42 mmSD: 1.0 mm
𝐶𝑝=48−426∗1.0
1
Acceptable
43.0 44.042.0
UCL
𝜎
LCL46.0 47.0 48.0
Case 2:
UCL: 48 mmLCL: 42 mmSD: 0.5 mm
𝐶𝑝=48−426∗0.5
2
HighlyAcceptable
43.0 44.042.0
Quick Overview
UCLLCL
6𝜎2𝜎
Cp =
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