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Calculation of Indicators
Updated over 7 months ago

Fundamental Concepts

For the calculation of automatic indicators available on the platform, the following definitions are considered:

Failure: Work Order assigned to the Corrective category or any other specific category defined by the administrator beforehand, which should be included in the calculation of indicators.



Report Period: The period defined by the client at the top of the Reports tab.


Total Period: It is the total operational period of the asset within the Report Period (considering each day as 24 hours of operation). In most cases, the Total Period will be the same as the Report Period, varying only if the asset was created after the start of the Report Period. For example, if the asset was created on February 15th, and the Report Period is from February 1st to February 30th, for calculation purposes, only the interval between February 15th and February 30th (equivalent to 15 days) will be considered as the Total Period. On the other hand, if the asset was created in January, for instance, the Total Period would be the same as the Report Period, i.e., from February 1st to February 30th.

Downtime: It is the period that a corrective work order was in either "*In Progress**" or "**On Hold**" status. For the calculation of indicators, we always filter to consider only the events that occurred during the Total Period. For example, if the user filtered from day 10 to day 15, and there is a work order that was created on day 11 and remained in progress until day 20, we consider the Downtime as 4 days(i.e., from day 11 to day 15).

MTBF (Mean Time Between Failures)

The MTBF – Mean Time Between Failures - represents the average time a repairable equipment functioned normally between reported failures. This indicator is defined by the following calculation:

MTBF = Total Time / Number of Failures

The Uptime – or operating time – is calculated as:

Uptime = Total Time - Downtime

In case the asset has no failures during the selected period, the MTBF is indeterminate and will not be calculated.
For the calculation of Downtime, we consider only the work orders resulting from the filters applied by the user (e.g., Total Period, categories, assets, ...).

MTTR (Mean Time To Repair)

The MTTR – Mean Time To Repair - represents the average time it takes to repair equipment. This indicator is defined as:

MTTR = Downtime / Number of Failures

In case the asset has no failures during the selected period, the MTTR is indeterminate and will not be calculated.
For the calculation of Downtime, we consider only the work orders resulting from the filters applied by the user (e.g., Total Period, categories, assets, ...).

MTTA (Mean Time To Action)

The MTTA – Mean Time To Action - is the average time it takes from when an alert is triggered until work on the asset begins. This indicator is defined as:

MTTA = Time to Action / Number of Failures

The Time to Action is calculated in two ways:

1- For Work Orders originating from a Request: The interval between the creation of the Request and its Approval. If the Request creation date is earlier than the start date of the Report Period, we use the interval between the start date of the Report Period and the approval of the Request.

2- For Work Orders created manually: The interval between the creation of the Work Order and its start (when it is moved to the "In Progress" state). If the Work Order creation date is earlier than the start date of the Report Period, we use the interval between the start date of the Report Period and the start of the Work Order. It is important to emphasize that when a Work Order is created and moved directly to the "Completed" state, without going through the "In Progress" state, the Time to Action will be considered as the time between creation and completion of the Work Order. Therefore, it is essential for technicians to mark the Work Order as "In Progress" as soon as they begin working on the correction.

Here's an example calculation for an asset with one manual Work Order and one created by a request:

Manual Work Order:
Creation: 10/01/2023
In Progress: 12/01/2023
Time to Action of the Work Order: 2 days

Work Order (created by Request):
Request creation: 10/01/2023
Request approval: 14/01/2023
Time to Action of the Work Order: 4 days

The MTTA will be 3 days, representing (2 days + 4 days) / 2 failures.

In case the asset has no failures during the selected period, the MTTA is indeterminate and will not be calculated.
For the calculation of Time to Action, we consider only the work orders resulting from the filters applied by the user (e.g., Total Period, categories, assets, ...).

Reliability

The Reliability represents the chance of your asset not failing within a Reliability Period specified by the user. Its calculation is as follows:

1 - We calculate its MTBF as described above.
2 - If the asset has no MTBF, i.e., no failures during the period, the Reliability cannot be calculated.
3 - From the MTBF, the Reliability is defined as:

Reliability = euler ^ ( - Reliability Period / MTBF )

The Reliability Period should not be confused with the Report Period. It represents the number of days we want the equipment to remain operational. For example, if the Reliability Period is 100 days and the Reliability is 20%, we should read this result as "There is a 20% probability that this asset will go the next 100 days without any Failures."

If the Report Period is short, such as the last 30 days, many of your assets probably have not failed during this period and, therefore, will not have an MTBF or Reliability. Hence, we recommend that you use a long Report Period when analyzing Reliability.

Additionally, we do not recommend averaging the indicators for the entire plant; instead, analyze the results for each asset.

For the calculation of Reliability, we consider only the work orders resulting from the filters applied by the user (e.g., Total Period, categories, assets, ...).

Availability

The Availability is the indicator that measures, as a percentage, the time a particular equipment was operational. It is calculated as follows:

Availability = Uptime / Total Period

The Uptime – or operating time – is calculated as:

Uptime = Total Period - Downtime

For assets without any failures during the selected period, we consider an Availability of 100%.

For the calculation of Downtime, we consider the filters applied by the user (e.g., categories, assets). However, unlike what we do in MTTR and MTBF, we do not limit ourselves to selecting only Work Orders from the Total Period. This is necessary because, for example, if the user filters only for March, and there is a Work Order from a previous month (e.g., January, February) still in the "In Progress" or "On Hold" status, it should impact the Availability for March.

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