# Traffic Complexity Score Dataset

## Data description

The PRU, in close collaboration with ANSPs, has defined a set of complexity indicators that can be applied in ANSP benchmarking. The complexity indicators are computed on a systematic basis for each day of the year. The complexity indicators are based on the concept of “interactions” arising when there are two aircraft in the same “place” at the same time. Hence, the Complexity Score is a measure of the potential number of interactions between aircraft defined as the total duration of all interactions (in minutes) per flight-hour controlled in a given volume of airspace. The Complexity Score is the product of two components: Traffic density and Structural index.

The traffic density is expressed in Adjusted density which measures the (uneven) distribution of traffic throughout the airspace (i.e. taking into account the relative concentration). The measure relies on dividing the airspace volume into a discrete grid of 20 nautical mile cells. An interaction is defined as the simultaneous presence of two aircraft in a cell of 20x20 nautical miles and 3,000 feet in height.

The structural index originates from horizontal, vertical, and speed interactions and is computed as the sum of the three indicators.

Horizontal interactions index: A measure of the complexity of the flow structure based on the potential interactions between aircraft on different headings. The indicator is defined as the ratio of the duration of horizontal interactions to the total duration of all interactions.

Vertical interactions index: A measure of the complexity arising from aircraft in vertical evolution based on the potential interactions between climbing, cruising and descending aircraft. The indicator is defined as the ratio of the duration of vertical interactions to the total duration of all interactions.

Speed interactions indicator: A measure of the complexity arising from the aircraft mix based on the potential interactions between aircraft of different speeds. The indicator is defined as the ratio of the duration of speed interactions to the total duration of all interactions.

More information on the methodology used for the computation of the complexity score see (ACE Working Group on Complexity 2006).

## Column naming and types

Column nameData sourceLabelDescriptionExample
YEARNetwork ManagerYEARReference year2014
MONTH_NUMNetwork ManagerMONTHMonth (numeric)1
MONTH_MONNetwork ManagerMONTH_MONMonth (3-letter code)JAN
FLT_DATENetwork ManagerDATE_FLTDate of flight12-01-2014
ENTITY_NAMEPRUENTITY_NAMEEntity nameSlovenia Control
ENTITY_TYPEPRUENTITY_TYPEType of the entity to which the data relates (ANSP, FAB, AREA)ANSP (AUA)
CPLX_FLIGHT_HRSNM/PRUCPLX_FLIGHT_HRSComplexity flight hours89.4
CPLX_INTERNM/PRUCPLX_INTERComplexity interactions (hours of interactions)9.4
VERTICAL_INTER_HRSNM/PRUVERTICAL_INTER_HRSHours of vertical interactions1.0
HORIZ_INTER_HRSNM/PRUHORIZ_INTER_HRSHours of horizontal interactions5.8
SPEED_INTER_HRSNM/PRUSPEED_INTER_HRSHours of speed interactions1.5

### Calculated Field(s)

\begin{align*} \text{Adjusted Density} & = \frac{\text{CPLX_INTER}}{\text{CPLX_FLIGHT_HRS}} 60 \\ \text{Vertical interactions} & = \frac{\text{VERTICAL_INTER_HRS}}{\text{CPLX_FLIGHT_HRS}} 60 \\ \text{Horizontal interactions} & = \frac{\text{HORIZ_INTER_HRS}}{\text{CPLX_FLIGHT_HRS}} 60 \\ \text{Speed interactions} & = \frac{\text{SPEED_INTER_HRS}}{\text{CPLX_FLIGHT_HRS}} 60 \\ \text{Vertical Score} & = \frac{\text{VERTICAL_INTER_HRS}}{\text{CPLX_INTER}} \\ \text{Horizontal Score} & = \frac{\text{HORIZ_INTER_HRS}}{\text{CPLX_INTER}} \\ \text{Speed Score} & = \frac{\text{SPEED_INTER_HRS}}{\text{CPLX_INTER}} \\ \text{Structural Index} & = \frac{\text{VERTICAL_INTER_HRS} + \text{HORIZ_INTER_HRS} + \text{SPEED_INTER_HRS}}{\text{CPLX_INTER}} \\ \text{Complexity Score} & = \frac{\text{VERTICAL_INTER_HRS} + \text{HORIZ_INTER_HRS} + \text{SPEED_INTER_HRS}}{\text{CPLX_FLIGHT_HRS}} 60 \end{align*}

## References

ACE Working Group on Complexity. 2006. “Report on Complexity Metrics for Ansp Benchmarking Analysis.” http://www.eurocontrol.int/sites/default/files/publication/files/complexity-report.pdf.