lax operational assessment...16 nextor 9-factor representation of lax daily weather factor...
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NEXTOR
Normalization of Airport and Terminal Area Normalization of Airport and Terminal Area Operational Performance: A Case Study of Operational Performance: A Case Study of
Los Angeles International AirportLos Angeles International Airport
Mark Hansen and Tanja BolicNational Center of Excellence for Aviation Research
University of California at Berkeley
Fourth International Air Traffic Management R&D SeminarDecember 2001
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NEXTOROutlineOutline
Background and MotivationMethodsResultsApplicationConclusions
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NEXTORNormalizationNormalization
Analyze trends in aviation infrastructure performanceDetermine effects of deployments of new technology or infrastructureQuantify effects within and outside FAA control
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NEXTORNEXTOR Normalization WorkNEXTOR Normalization Work
Sponsored by FAA Free Flight OfficeFocus on Delays and Time-in-System MetricsAnalysis at Daily Level
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NEXTORNormalization and the Normalization and the
Modeling CycleModeling Cycle
Models
R&D and Deployment Decisions Introduction
of New Systems
Benefits and Impacts of New Systems
Normalization
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NEXTORConceptual FrameworkConceptual Framework
Demand
Weather
Conditionsat otherAirports
Time at Origin
AirborneTime
Taxi-In Time
Total Flight Time
System Performance
•En Route
•Terminal Area
•ATM
•Aircraft
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NEXTORDaily Flight Time Index (DFTI)Daily Flight Time Index (DFTI)
Daily weighted average of flight times to a given airport from a set of originsAnalogous to a Consumer Price IndexOrigins in “market basket” have at least one completed flight in each day of sampleWeights reflect origin share of flights to study airport over study period
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NEXTORFlight Time and Its Flight Time and Its
ComponentsComponents
Origin Gate
Origin RWT
Dest. GateDest. RWT
Scheduled Departure Time
Actual Departure Time
Actual Arrival Time
Wheels-Off Time
Wheels-On Time
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NEXTORDFTI Time Series for LAXDFTI Time Series for LAX
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J-95 J-96 J-97 J-98 J-99 J-00 J-01
Date
DFT
I (m
inut
es)
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NEXTOR3030--Day Moving AverageDay Moving Average
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Jan-95 Jan-96 Jan-97 Jan-98 Jan-99 Jan-00 Jan-01
Date
DFT
I(min
utes
)
WinterSpringSummerFall
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NEXTOR77--Day Moving Average with ComponentsDay Moving Average with Components
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Jan-95 Jul-95 Jan-96 Jul-96 Jan-97 Jul-97 Jan-98 Jul-98 Jan-99 Jul-99 Jan-00
Date
Ave
rage
Tim
e pe
r Flig
ht
(min
utes
)
Taxi-InAirborneAt Origin
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NEXTORVariance DecompositionVariance Decomposition
)],(),(),([2
)()()()(
INTAXIORIGINCOVINTAXIAIRBORNECOVAIRBORNEORIGINCOV
INTAXIVARAIRBORNEVARORIGINVARDFTIVARINTAXIAIRBORNEORIGINDFTI
−+−+⋅
+−++=−++=
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NEXTORVariance DecompositionVariance Decomposition
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1995 1996 1997 1998 1999 2000
Year
Varia
nce
Com
pone
nt (m
in2 )
COV(Airborne,Taxi-In)COV(At Origin,Taxi-In)COV(At Origin,Airborne)VAR(Taxi-In)VAR(Airborne)VAR(At Origin)
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NEXTORWeather NormalizationWeather Normalization
Based on CODAS hourly weather observations for LAXFactor analysis of weather data
Create small number of factors that capture variation in large number of variablesFactors are linear combinations of original variablesFactors correspond to principal axes of N-dimensional data elipse
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NEXTORFactor Analysis with Two Factor Analysis with Two
VariablesVariables
X1
X2
First Factor
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NEXTOR99--Factor Representation of Factor Representation of
LAX Daily WeatherLAX Daily WeatherFactor Interpretation
1 Warm temperatures throughout day. 2 VFR operations and absence of low cloud ceiling in the
morning. 3 VFR operations and absence of low cloud ceiling in the
afternoon. 4 High visibility throughout day. 5 Medium cloud ceiling throughout day. 6 High winds throughout day. 7 High ceiling cloud ceiling throughout day; evening
precipitation. 8 Precipitation in late morning and afternoon. 9 Precipitation in early morning.
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NEXTORDemand NormalizationDemand Normalization
Deterministic Queuing AnalysisArrival Curve from Official Airline GuideDeparture Curves and Average Delays Calculated Assuming Range of Hypothetical CapacitiesFactor Analysis Applied to Obtain Reduced Set of Demand Factors
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NEXTOR
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0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00 3:00 6:00 9:00 12:00Time of Day
Cum
ulat
ive
Num
ber
ScheduledCompleted, Capacity=40Completed, Capacity=60Completed, Capacity=80
Queuing DiagramsQueuing Diagrams
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NEXTORTrends in Values of HDD Parameters Trends in Values of HDD Parameters
and Scheduled Arrivals since 1997and Scheduled Arrivals since 1997
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0.5
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1.5
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2.5
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1/1/97 7/3/97 1/2/98 7/4/98 1/3/99 7/5/99 1/4/00
Date
HDD
(min
)
OAG Flights
HDD50
HDD70
HDD90
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NEXTOR
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0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00Time of Day
Cum
ula
tive
Nu
mbe
r
6/24/971/17/996/29/99
DAY HDD50 HDD60 HDD70 HDD80 HDD90 HDD100 HDD110 HDD1206/24/97 124.55 44.62 6.86 2.64 1.07 0.40 0.16 0.091/17/99 52.88 6.96 0.87 0.06 0.00 0.00 0.00 0.006/29/99 111.90 28.71 3.11 0.85 0.29 0.11 0.04 0.00
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NEXTORFactor Analysis of HDD VariablesFactor Analysis of HDD Variables
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NEXTORNormalization for Conditions Normalization for Conditions
at other Airportsat other AirportsConsider airports included in DFTI averageFor each compute daily average departure delay for flights notbound to LAX regionAverage airport departure delays using DFTI weights
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NEXTOROrigin Airport Delay Time SeriesOrigin Airport Delay Time Series
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Date
Ori
gin
Airp
ort D
elay
(min
)
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NEXTORPerformance ModelsPerformance Models
ttttt ODELDMDWXfY ε+= ),,(Where:Yt is DFTI or DFTI component for day t;WXt is vector of weather factors for day t;DMDt is vector of demand factors for day t;ODELt is average origin departure delay for day t;εt is stochastic error term.
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NEXTORFunctional Forms ConsideredFunctional Forms Considered
ParametricLinear (with 3, 6, 9, and 12 weather factors)Quadratic response surfaceNon-linear
Non-parametric9 clusters based on 3 weather factors12 clusters based on 9 weather factors
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NEXTORLinear Model Estimation Results Linear Model Estimation Results
Variable Description Estimate T - statistic P - value
INTERCEPT Intercept 138.055 567.065 0.0001OAC Origin airport congestion 1.128 44.351 0.0001WX1 Warm daily temperatures -1.357 -12.101 0.0001WX2 VFR ops, no low cloud ceiling in the morning -0.988 -7.116 0.0001WX3 VFR ops, no low cloud ceiling in the afternoon -1.123 -7.583 0.0001WX4 High visibility throughout day -0.449 -3.575 0.0004WX5 Medium cloud ceiling throughout day 1.440 10.555 0.0001WX6 High winds throughout the day 0.512 4.531 0.0001WX7 High cloud ceiling throughout day 0.911 4.172 0.0001WX8 Precipitation in late morning and afternoon 1.871 8.324 0.0001WX9 Precipitation in early morning -0.379 -2.614 0.0091DMD1 Peak demand 0.075 0.725 0.4685DMD2 Base demand 0.440 4.574 0.0001ADJUSTED R2 0.743
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NEXTORPredictedPredicted vsvs Actual ValuesActual Values
130.00140.00150.00160.00170.00180.00190.00200.00210.00
130.00 140.00 150.00 160.00 170.00 180.00 190.00 200.00
Observed Values (min)
Pre
dict
ed V
alu
es (m
in)
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NEXTOROutliersOutliers
Used TMU logs to investigate days for which predictions have large errorsReasons for higher than predicted DFTI
East flowRadar outagesAir Force OneOver-stringent ground delay program
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NEXTORModels for DFTI ComponentsModels for DFTI Components
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NEXTORResponse Surface ModelResponse Surface Model
High demand increases the importance of visibilityEffects of precipitation and winds re-enforcingDiminishing marginal impact of winds
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NEXTORImpacts of a Decision Support Impacts of a Decision Support
Tool at LAXTool at LAXFFP1 BackgroundThe ToolDeployment ExperienceImpacts
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NEXTORFree Flight Phase IFree Flight Phase I
Deploy terminal area/en route decision support tools (CTAS, SMA, and URET) at selected sitesNormalization useful for assessing operational impacts and benefits
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NEXTORFinal Approach Spacing ToolFinal Approach Spacing Tool
Decision support tool for TRACON P(assive)FAST advises on runway assignment and landing sequenceActive FAST provides speed and turn advisoriesAdvisories incorporated into ARTS displayPrior PFAST implementation at DFW
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NEXTORFAST at LAXFAST at LAX
“Passive Passive FAST” (P2FAST) or “T-TMA”No advisoriesSeparate displays depict traffic up to 300 nm out using combination of HOST and ARTS dataA situation-awareness tool instead of a decision automation tool
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NEXTORWhy TTMA for LAX?Why TTMA for LAX?
Significant “internal” operationsDepartures from within SOCAL TRACON and ZLA CenterNo acceptable “work-arounds”
Initial deployment until DS software can be adapted
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Date
DFTI
(in
min
utes
)
DFTI Before and After DFTI Before and After ImplementationImplementation
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NEXTOR Variable Parameter Estimates DFTI At Origin Airborne Taxi-in intercept 139.29 15.23 115.9 8.11TTMA -1.99 -1.71 -0.19 -0.07OAC 1.39 1.29 0.03 0.06Peak Demand -0.35 -0.1 -0.24 -0.01Base Demand 0.97 0.74 0.04 0.19Weather Factor1 -3.37 -0.89 -2.63 0.14Weather Factor2 -2.66 -1.8 -0.75 -0.12Weather Factor3 -1.88 -1.36 -0.48 -0.04Weather Factor4 0.19 -0.24 0.49 -0.07Weather Factor5 1.48 0.73 0.79 -0.03Weather Factor6 0.46 0.12 0.31 0.02Weather Factor7 0.64 0.27 0.29 0.81 Adjusted R-Square 0.79 0.83 0.55 0.39
Significant at 5% level Significant at 10% level
TTMA Normalization ResultsTTMA Normalization Results
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NEXTORCollaborating Evidence Collaborating Evidence
Evidence of increased throughput rates when system is under stressControllers love it
Anticipate overloads and slow planes down to avoid holdingBetter runway balancing
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NEXTORConclusionsConclusions
70-80% DFTI variation “explained” statistically (in case of LAX)
Up-line delay is largest driverVariety of weather impactsModest gain from more complicated models
Normalization shows benefit from TTMA Implementation