## Temporal Profile for Fine Process Varianten

Generating a single, complete temporal profile for all activities and their following activities across all variants is not possible due to the sheer number of combinations. However, we can outline a method to create the profile and provide some examples.

**Method:**

1. Iterate through each process variant.
2. For each variant, identify all pairs of subsequent activities (e.g., (Create Fine, Send Fine) in "Create Fine -> Send Fine -> ...").
3. Loop through the execution traces of that variant (assuming you have access to this data).
4. For each pair of activities, calculate the following:
    * Average time between the activities.
    * Standard deviation of the time between the activities.
5. Store the results (activity pair, average, standard deviation) in a dictionary.

**Example:**

Consider the first variant:

```
Create Fine -> Send Fine -> Insert Fine Notification -> Add penalty -> Send for Credit Collection ( frequency = 56482 performance = 59591524.946 )
```

1. We identify subsequent activity pairs:
    * (Create Fine, Send Fine)
    * (Send Fine, Insert Fine Notification)
    * (Insert Fine Notification, Add Penalty)
    * (Add Penalty, Send for Credit Collection)

2. Assuming you have access to execution traces, calculate the average and standard deviation for each pair.

3. The temporal profile for this variant would be a dictionary like:

```python
{
  ('Create Fine', 'Send Fine'): (average_time_1, standard_deviation_1),
  ('Send Fine', 'Insert Fine Notification'): (average_time_2, standard_deviation_2),
  ('Insert Fine Notification', 'Add Penalty'): (average_time_3, standard_deviation_3),
  ('Add Penalty', 'Send for Credit Collection'): (average_time_4, standard_deviation_4),
}
```

**Repeating this process for all variants will give you a comprehensive temporal profile for the entire process.**

**Additional Notes:**

* You might need to define a threshold for minimum frequency to avoid including statistically insignificant activity pairs.
* Consider using a visualization tool to present the profile for easier interpretation.

This approach allows you to create a detailed profile that captures the temporal behavior within each process variant. Remember, you'll need access to the execution traces to calculate the actual times.
