Cpk Formula:
From: | To: |
The Cpk (Process Capability Index) measures how well a process can meet specification limits. It considers both the process centering and variability relative to the specification limits, providing a quantitative measure of process capability.
The calculator uses the Cpk formula:
Where:
Explanation: The formula calculates how many standard deviations the process mean is from each specification limit and takes the minimum value to represent the worst-case scenario.
Details: Cpk is crucial for quality control and process improvement. It helps manufacturers determine if their process is capable of producing within specification limits and identifies opportunities for process optimization.
Tips: Enter the upper and lower specification limits, the process mean, and the standard deviation. All values must be valid (standard deviation > 0). The calculator will compute the Cpk index.
Q1: What is a good Cpk value?
A: Generally, a Cpk value of 1.33 or higher is considered acceptable, with values of 1.67 or higher indicating excellent process capability.
Q2: How is Cpk different from Cp?
A: Cp measures process potential without considering centering, while Cpk considers both variability and centering relative to specification limits.
Q3: Can Cpk be negative?
A: Yes, a negative Cpk indicates the process mean is outside the specification limits.
Q4: What if my process has only one specification limit?
A: For processes with only one specification limit (upper or lower), use the appropriate one-sided calculation instead of Cpk.
Q5: How often should Cpk be calculated?
A: Cpk should be monitored regularly as part of ongoing quality control, with frequency depending on process stability and criticality.