Process Stability Process A process is a set of sequential activities that convert the input to the desired output. Stability
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A process is a set of sequential activities that convert the input to the desired output.
Process stability is the ability of the process to perform within a predictable limit. We can also state stability of a process refers to its predictability.
Processes tend to become unstable over time due to variations. The variations occur either because of the inherent nature of the process or some external or forced changes, called disturbances.
When the process is operating at a stable state, we can expect the process to produce comparable results over a period. Thus, even though the process has variations, it would repeat similar variations in the future under a stable state.
And that is how, the process behaves predictably.
When a process exhibits an assignable cause, meaning some disturbance, it becomes unpredictable. Because the disturbances are unpredictable or non-repeatable to some extent.
Though the concept sounds simple, it is not always possible to differentiate the special cause variations and common cause variations under general observations.
Dr Shewhart of Bell Laboratories introduced a simple statistical tool to help differentiate the special cause variations from the common cause variations.
Based on statistics, all the data (99.73%) would fall between the boundaries of
Mean ± 3 Standard Deviation

He drew a chart with
We can consider any data point falling beyond this boundary as significantly different from the rest of the data points.
We call these significantly different data points as Special Causes.
We categorise A process without any Special Causes as a Stable Process and processes with one or more special cause as an unstable process.
Usually, continuous processes consist of zones of common and special causes. The zones without any special cause are Stable Zones. Unstable zones are the period of the process exhibiting a special cause.

If you are the process owner, you can start plotting the observations on a control chart. If the control limits are comfortably within the specification limits, then the special cause indicates the need for adjustment in the process.
What to do, If you are considering the process for any improvement and sample data shows a special cause? It may indicate that the sample data is not the true representative of process behaviour.