1 / 22

# Capacity of a Single Runway - PowerPoint PPT Presentation

Capacity of a Single Runway. Kimberly Afcha and Danielle Hettmann . Maximum Throughput Capacity (MCT). Measure of capacity of the runway Based on the following assumptions: Continuous supply of arrivals and/or departures Air Traffic Control rule – no simultaneous Runway Occupancy (SRO)

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Capacity of a Single Runway' - liesel

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Capacity of a Single Runway

Kimberly Afcha and Danielle Hettmann

• Measure of capacity of the runway

• Based on the following assumptions:

• Continuous supply of arrivals and/or departures

• Air Traffic Control rule – no simultaneous Runway Occupancy (SRO)

• Air Traffic Control rule – safe Wake Vortex Separation Distances between two flights

• Static fleet mix

• Approach procedure does not change

Five considerations:

• 1. ATC Safety Rule: no Simultaneous Runway Occupancy (SRO)

• 2. ATC Safety Rule: Maintain Wake Vortex Separation Distance between lead and follow aircraft

• 3. ATC Controller/Pilot Separation Control Accuracy: ATC/Pilots insert a buffer distance to avoid violating separation rules

• 4. Fleet Mix: determines the type of aircraft in the lead-follow pairs. The type of aircraft determines the separation distance used. Small aircraft following large aircraft require longer distances than large aircraft following large aircraft.

• 5. Final Approach Path Distance: the length of time lead-follow aircraft fly the approach in pairs and separation

### Maximum Throughput Capacity for a Homogeneous Fleet Mix

• Simultaneous Runway Occupancy (SRO):

• MCT = 3600 seconds/ROT

• Wake Vortex Separation Distance

• Determined by separation distance

• Wake vortices generated off wing-tips of aircraft

• Strength of the vortex is governed by the weight, speed, and shape of the wing of the generating aircraft

• MCT = 3600 / (s/v) where t = s/v

• t = inter-arrival time

• s = distance between aircraft at runway threshold

• v = groundspeed of aircraft

• Example: Heavy following Heavy, t=96 seconds

• MCT = 36000 / 96 = 37.5 flights/hour

• Separation distance is determined through coordination of ATC and pilot

• Separation Buffer:

• MCT = 3600 / ((s/v)+b)

• t = inter-arrival time

• s = distance between aircraft at runway threshold

• v = groundspeed of aircraft

• b = buffer

• Example: Heavy following Heavy, t=96 seconds

• MCT = 36000 / (96 + 10)= 34 flights/hour

• MCT = Min(MCTSRO, MCTWVSD, MCTWVSDB)

• SRO = Single Runway Occupancy

• WVSD = Wake Vortex Separation Distance

• WVSDB = Wake Vortex Separation Distance and Buffer (ATC/Controller Buffer)

• Simplified to:

• MCT = Min(MCTSRO, MCTWVSDB)

### Maximum Throughput Capacity for a Non-Homogeneous Fleet Mix

MTC = Min ( MTCSRO, MTCWVSDB)

• Runway Occupancy Time (ROT)

• Probability of lead-follow

E[ROT] = Σi(pi * ROTi)

E[ROT] = (.3*80) + (.2*65) + (.25*50) + (.25* 45)

= 60.75

MTCSRO= 3600/ E[ROT]

MTCSRO= 3600/60.75

= 59.26

• The separation distance between the lead and the follow (sij)

• The groundspeed of the aircraft (vj)

• The probability of a lead-follow pair (pij)

• Inter-arrival time (tij)

• Inter-arrvial time matrix T

E[Tij] = ΣiΣj (pij *( Tij))

Tij = sij/vj for compression case

Tij = ((r + sij)/vj ) – (r/ vi ) for separation case

• Lead slower than Follow

• Compression distance- additional distance used by Follow as it catches up to Lead

• Compression Time = r/(Vj – Vi)

• Cases: H-H, H-L, H-M, H-S, L-L, L-M, L-S, M-M, M-S, S-S

• Lead faster than Follow

• Separation Distance- additional distance at the runway threshold caused by Lead faster than Follow

• Separation Time= ((r + sij)/vj ) – (r/ vi )

• Cases: S-M, S-L, SH, M-L, M-H, H-L.

MTC = 3600 seconds/E[tij]

E[tij]= (.09*120)+(.06*188)+…+(.06*120)

=141.9

MCT = 3600 seconds/141.9

= 25.368

MTC = 3600/E[tij]

Where tij = Tij + b

E[tij]= 146.9 seconds

MTC= 3600/ 146.9

= 24.505 arrivals per hour

Recall

MTC = Min ( MTCSRO, MTCWVSDB)

MTC = Min (59.26, 24.505)

= 24.505 arrivals per hour