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Air Transportation Network Load Balancing using Auction-Based Slot Allocation for Demand Management George L. Donohue George L. Donohue Loan Le and C-H. Chen Loan Le and C-H. Chen Air Transportation Systems Engineering Laboratory Dept. of Systems Engineering & Operations Research George Mason University Fairfax, VA Harvard University Harvard University 18 March, 2004 18 March, 2004

Air Transportation Network Load Balancing using Auction-Based Slot Allocation for Demand Management George L. Donohue Loan Le and C-H. Chen Air Transportation

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  • Air Transportation Network Load Balancing using Auction-Based Slot Allocation for Demand ManagementGeorge L. DonohueLoan Le and C-H. ChenAir Transportation Systems Engineering LaboratoryDept. of Systems Engineering & Operations ResearchGeorge Mason UniversityFairfax, VAHarvard University18 March, 2004

  • Outline

    Necessity of Demand ManagementHistory of US Demand ManagementAuction model for airport arrival slotsauctioneer optimization modelairline optimization modelAtlanta airport case studysimulated scenariosresults and interpretationObservations

  • Why Demand Management?Over-scheduling causes delay and potentially compromises safetyAtlanta Airport - FAA Airport Capacity Benchmark 2001

    Chart1

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    Schedule

    Facility Est.

    Model Est.

    Number of Operations

    TOTAL SCHEDULED OPERATIONS AND CURRENT OPTIMUM RATE BOUNDARIES

    air-delays-qtr

    Analysis By Airport By Qtr.Hour Report

    Good day for ATL

    From 9/13/2000 To 9/13/2000 : ATL

    Periods Before 07:00 and After 22:00 at bottom10092.510092.5Dep.Dep.Arr.Arr.

    Arr.DeptDelayDelayDelayDelay200185

    AirportLocalQtrSch.Sch.ASPMASPMCan.Can.% O.T.% O.T.Gate*Taxi Out**Arbrn*Taxi-Block*Arrival*Est.Est.Est.Est.Sch-Min.Min.Min.Min.TotalEstEst.

    HourDep.Arr.Dep.Arr.Dep.Arri.Dep.Arr.In*FacilityModelFac.Model.Opt.ExcessGateT.O.Arbn.Arr.Ops.Fac.Model

    ATL71112212230075958.752.632.860.930.471.952523.122523.1-140105326645335046

    ATL272262201509521.337.932.221.150.774.682523.122523.1-1801284849103295046

    ATL39231021017010011.93.952.420.170.090.142523.122523.1-16011940513325046

    ATL412211300901002.459.10.3300.330.332523.122523.1-1302710011145046

    ATL8121319420847510.059.7520.52.2572523.122523.1-40191185828245046

    ATL23917371510941002.410.81.60.720.40.132523.122523.1141489400242565046

    ATL3352134201170909.6711.515.451.140.92.62523.122523.1102432939110952565046

    ATL4142914260185887.719.517.152.783.574.032523.122523.1-1113108133186105435046

    ATL917376350083857.834.889.941.893.374.942523.122523.1-1804729348173445046

    ATL252452400100912.22.5812.870.891.413.162523.122523.1-200111330976295046

    ATL31911181000881005.385.1311.30.640.20.22523.122523.1-6097921132305046

    ATL4257236009110036.682.331.03002523.122523.10069154140325046

    ATL10132528420961002.428.610.250.7002523.122523.1776824110375046

    ATL2271227110192903.79.851.634.50.932523.122523.1291002661833395046

    ATL3262223242086918.8210.371.872.470.794.542523.122523.111020323945109485046

    ATL4102592202100953.557.472.133.150.272.132523.122523.1-15032674747355046

    ATL111527325111009606.262.082.240.241.82523.122523.1-2000195245325046

    ATL2716716007110094.772.681.330.51.812523.122523.1-18063334329235046

    ATL31651261091665.163.1600.560.1611.162523.122523.1-906238067215046

    ATL4271622142086854.776.682.710.821.144.282523.122523.1221051473860435046

    ATL121281628121396833.577.822.51.7113.912523.122523.1351002193047445046

    ATL2212421220085955.957.563.771.310.593.632523.122523.1-411251598380455046

    ATL31825142301789516.574.884.431.371.562.862523.122523.1-702326810266435046

    ATL48256240066959.332.844.541.50.52.332523.122523.1-170561710956335046

    ATL131141412140091713.584.535.711.210.7811.922523.122523.1-110435480167285046

    ATL2115940088756.443.7300.440.2510.752523.122523.1-1405834043165046

    ATL341540510801007.95.3540.080.41.22523.122523.11616316214206465046

    ATL4311930151080937.963.762.42.42.464.862523.122523.16222391133673505046

    ATL141122110191090893.63.962.940.891.315.682523.122523.1-139364056108335046

    ATL272372002100952.422.752.60.580.32.52523.122523.1-18017195250305046

    ATL353242911100863.752.353.581.060.685.272523.122523.1-200159104153375046

    ATL4425424011001003.251.855.160.750.081.332523.122523.1-21013712432295046

    ATL1511518151501809312.25.775.260.103.332523.122523.1-100183877950335046

    ATL2177126001001002.913.9830.190.662.332523.122523.1-8035481814245046

    ATL337103090086887.736.23.770.310.223.442523.122523.112122321863431475046

    ATL42731262511808410.428.034.041.870.65.62523.122523.1214271209101140585046

    ATL161272123150391933.958.225.862.441.333.062523.122523.1216911898846485046

    ATL2122812250191927.9110.715.562.040.7210.482523.122523.1-13395129139262405046

    ATL313279220288907.226.727.812.720.093.52523.122523.1-120656017277405046

    ATL4723623101009108.384.691.103.342523.122523.1-18005010877305046

    ATL171141311130090922.728.351.460.5302.152523.122523.1-11030921928275046

    ATL226623500911003.568.190.4000.42523.122523.1118218822325046

    ATL338103480291757.9113.252.870.22116.52523.122523.1131426945123132485046

    ATL43516261401761008.4216.3810.6500.642523.122523.11024219426149515046

    ATL181262024161087874.2517.334.251.972.564.432523.122523.11251024166871465046

    ATL242532310339145.3310.66.951.381.913.652523.122523.1-2141363216084295046

    ATL362462510100761.833.28.62.111.412.882523.122523.1-1901119215322305046

    ATL432332002668521.334.238.31.431.13.152523.122523.1-220641316663265046

    ATL191530531001008321.766.030.341.7712.352523.122523.1-200109187383355046

    ATL21691481085624.784.853.370.371.525.622523.122523.1-90676827205255046

    ATL3331231120083837.935.53.751.152.0810.082523.122523.18824617145121455046

    ATL4291025100084809.0811.455.30.741.782523.122523.14122272865380395046

    ATL201372231180077839.0611.482.275.163.835.662523.122523.1122428135641102595046

    ATL2292325240096874.6414.183.663.911.3711.22523.122523.142811635588269525046

    ATL352752502608427.611.413.883.860.24.562523.122523.1-2081385797114325046

    ATL41211210010095146.64.332.890.144.042523.122523.1-2401479185225046

    ATL2112183140110010004.764.852.10.070.072523.122523.1-230014681205046

    ATL21312911101001002.557.360.90.2900.632523.122523.1-1202366107255046

    ATL3261225111092818.727.330.541.34.4592523.122523.111218183699385046

    ATL423922811100871.3610.411.53.350.753.372523.122523.1-20302291227325046

    10801087970999263351835381

    * - Actual Compared to Flight Plan (Average Minutes Difference)

    ** - Actual Compared to Unimpeded (Average Minutes Difference)

    ATL011324010100435.11.50.51.253

    ATL0200240000244.600037.5

    ATL03033400100753.334.60.250028.75

    ATL040012000100155.60000

    ATL1100340066757.334.9300.10.514.25

    ATL1200200000365.60000

    ATL130162001001008.165.60015

    ATL1400220050100415.60000

    ATL2100120010050105.600.5038

    ATL22000100000000018

    ATL2300100000195.60000

    ATL24001100100005.601017

    ATL3100000000000000

    ATL320013001003305.600.665.3327

    ATL330002000500001014.5

    ATL340102000500000013

    ATL41021500080501.600.208.6

    ATL42012100010033.51.60100

    ATL43001200100100300000

    ATL4421140010050900.50025.25

    ATL5109111001006301.60.720.523.4510.36

    ATL520435006680151.610.1644.4

    ATL530214001007501.600.250.2512.75

    ATL540101000100000050

    ATL61404110100004.3501122

    ATL621521640093753.562.600.8505.5

    ATL63101151006010010.62.570225

    ATL645107801718717.141.421.870.9702

    ATL221362232210184957.6213.11.142.812

    ATL22119172100761007.649.9124.131.191.33

    ATL332342400759110.755.472.291.761.453.41

    ATL41182170010010018.13.641.610.821.41

    ATL231334300256631.753.1900.56017

    ATL21241350092606.533.650.40.441423.4

    ATL32752460179669.296.051.160.131.6616.16

    ATL4104104011001001.55.810.25000

    Total1230122611531180273885887.157.943.961.591.15.24

    air-delays-qtr

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    Departures

    Facility Est.

    Model Est.

    Number of Departures

    SCHEDULED DEPARTURES AND CURRENT DEPARTURE RATE BOUNDARIES, OPTIMUM RATE CONDITIONS

    00

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    Taxi Out

    Gate Delay

    Average Delay (Min.) per Departure

    TAXI-OUT AND GATE DELAY PER DEPARTURE, VISUAL METEOROLOGICAL CONDITIONS

    0

    0

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    0

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    0

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    0

    0

    0

    0

    0

    0

    0

    0

    Excess departures

    Number of Flights

    CUMULATIVE DEPARTURES OVER OPTIMUM RATE, VISUAL METEOROLOGICAL CONDITIONS

    00

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    Gate Delay

    Taxi-Out Delay

    Minutes of Delay

    DEPARTURE GATE AND TAXI-OUT DELAYS, VISUAL METEOROLOGICAL CONDITIONS

    000

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    Arrivals

    Facility Est.

    Model Est.

    Number of Arrivals

    SCHEDULED ARRIVALS AND CURRENT ARRIVAL RATE BOUNDARIES, OPTIMUM RATE CONDITIONS

    00

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    Airborne Delay

    Arrival Delay

    Minutes of Delay

    AIRBORNE AND ARRIVAL DELAYS, VISUAL METEOROLOGICAL CONDITIONS

    000

    000

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    Schedule

    Facility Est.

    Model Est.

    Number of Operations

    TOTAL SCHEDULED OPERATIONS AND CURRENT OPTIMUM RATE BOUNDARIES

  • Data Indicates Loss of Separation Increases at High Capacity FractionOver-scheduling causes accident pre-cursor events and potentially compromises safetyStatistics at ATL, BWI, DCA and LGA airports (Haynie)

    _1135023276.doc

    Hazard Reports 1988-2001

    0

    20

    40

    60

    80

    100

    120

    35

    40

    45

    50

    55

    60

    65

    70

    Percentage Capacity Used

    #reports

    Near Midair Collision

    Runway Incursion

    Lost of Legal Separation

    _1135023786.doc

    Hazard Reports 1988-2001

    0

    20

    40

    60

    80

    100

    120

    35

    40

    45

    50

    55

    60

    65

    70

    Percentage Capacity Used

    #reports

    Near Midair Collision

    Runway Incursion

    Lost of Legal Separation

    _1135022763.doc

    Hazard Reports 1988-2001

    0

    20

    40

    60

    80

    100

    120

    35

    40

    45

    50

    55

    60

    65

    70

    Percentage Capacity Used

    Number Reports Filed

    Near Midair Collision

    Runway Incursion

    Lost of Legal Separation

  • Observed WV Separation Violations vs. Capacity RatioHaynie, GMU 2002

  • Flight Banking at Fortress Hubs Creates Inefficient Runway UtilizationOver-scheduling causes accident pre-cursor events and potentially compromises safetyAtlanta Airport - FAA Airport Capacity Benchmark 2001Under-scheduling wastes runway capacity

    Chart1

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    295046.25

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    515046.25

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    525046.25

    325046.25

    225046.25

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    385046.25

    325046.25

    Schedule

    Facility Est.

    Model Est.

    Number of Operations

    TOTAL SCHEDULED OPERATIONS AND CURRENT OPTIMUM RATE BOUNDARIES

    air-delays-qtr

    Analysis By Airport By Qtr.Hour Report

    Good day for ATL

    From 9/13/2000 To 9/13/2000 : ATL

    Periods Before 07:00 and After 22:00 at bottom10092.510092.5Dep.Dep.Arr.Arr.

    Arr.DeptDelayDelayDelayDelay200185

    AirportLocalQtrSch.Sch.ASPMASPMCan.Can.% O.T.% O.T.Gate*Taxi Out**Arbrn*Taxi-Block*Arrival*Est.Est.Est.Est.Sch-Min.Min.Min.Min.TotalEstEst.

    HourDep.Arr.Dep.Arr.Dep.Arri.Dep.Arr.In*FacilityModelFac.Model.Opt.ExcessGateT.O.Arbn.Arr.Ops.Fac.Model

    ATL71112212230075958.752.632.860.930.471.952523.122523.1-140105326645335046

    ATL272262201509521.337.932.221.150.774.682523.122523.1-1801284849103295046

    ATL39231021017010011.93.952.420.170.090.142523.122523.1-16011940513325046

    ATL412211300901002.459.10.3300.330.332523.122523.1-1302710011145046

    ATL8121319420847510.059.7520.52.2572523.122523.1-40191185828245046

    ATL23917371510941002.410.81.60.720.40.132523.122523.1141489400242565046

    ATL3352134201170909.6711.515.451.140.92.62523.122523.1102432939110952565046

    ATL4142914260185887.719.517.152.783.574.032523.122523.1-1113108133186105435046

    ATL917376350083857.834.889.941.893.374.942523.122523.1-1804729348173445046

    ATL252452400100912.22.5812.870.891.413.162523.122523.1-200111330976295046

    ATL31911181000881005.385.1311.30.640.20.22523.122523.1-6097921132305046

    ATL4257236009110036.682.331.03002523.122523.10069154140325046

    ATL10132528420961002.428.610.250.7002523.122523.1776824110375046

    ATL2271227110192903.79.851.634.50.932523.122523.1291002661833395046

    ATL3262223242086918.8210.371.872.470.794.542523.122523.111020323945109485046

    ATL4102592202100953.557.472.133.150.272.132523.122523.1-15032674747355046

    ATL111527325111009606.262.082.240.241.82523.122523.1-2000195245325046

    ATL2716716007110094.772.681.330.51.812523.122523.1-18063334329235046

    ATL31651261091665.163.1600.560.1611.162523.122523.1-906238067215046

    ATL4271622142086854.776.682.710.821.144.282523.122523.1221051473860435046

    ATL121281628121396833.577.822.51.7113.912523.122523.1351002193047445046

    ATL2212421220085955.957.563.771.310.593.632523.122523.1-411251598380455046

    ATL31825142301789516.574.884.431.371.562.862523.122523.1-702326810266435046

    ATL48256240066959.332.844.541.50.52.332523.122523.1-170561710956335046

    ATL131141412140091713.584.535.711.210.7811.922523.122523.1-110435480167285046

    ATL2115940088756.443.7300.440.2510.752523.122523.1-1405834043165046

    ATL341540510801007.95.3540.080.41.22523.122523.11616316214206465046

    ATL4311930151080937.963.762.42.42.464.862523.122523.16222391133673505046

    ATL141122110191090893.63.962.940.891.315.682523.122523.1-139364056108335046

    ATL272372002100952.422.752.60.580.32.52523.122523.1-18017195250305046

    ATL353242911100863.752.353.581.060.685.272523.122523.1-200159104153375046

    ATL4425424011001003.251.855.160.750.081.332523.122523.1-21013712432295046

    ATL1511518151501809312.25.775.260.103.332523.122523.1-100183877950335046

    ATL2177126001001002.913.9830.190.662.332523.122523.1-8035481814245046

    ATL337103090086887.736.23.770.310.223.442523.122523.112122321863431475046

    ATL42731262511808410.428.034.041.870.65.62523.122523.1214271209101140585046

    ATL161272123150391933.958.225.862.441.333.062523.122523.1216911898846485046

    ATL2122812250191927.9110.715.562.040.7210.482523.122523.1-13395129139262405046

    ATL313279220288907.226.727.812.720.093.52523.122523.1-120656017277405046

    ATL4723623101009108.384.691.103.342523.122523.1-18005010877305046

    ATL171141311130090922.728.351.460.5302.152523.122523.1-11030921928275046

    ATL226623500911003.568.190.4000.42523.122523.1118218822325046

    ATL338103480291757.9113.252.870.22116.52523.122523.1131426945123132485046

    ATL43516261401761008.4216.3810.6500.642523.122523.11024219426149515046

    ATL181262024161087874.2517.334.251.972.564.432523.122523.11251024166871465046

    ATL242532310339145.3310.66.951.381.913.652523.122523.1-2141363216084295046

    ATL362462510100761.833.28.62.111.412.882523.122523.1-1901119215322305046

    ATL432332002668521.334.238.31.431.13.152523.122523.1-220641316663265046

    ATL191530531001008321.766.030.341.7712.352523.122523.1-200109187383355046

    ATL21691481085624.784.853.370.371.525.622523.122523.1-90676827205255046

    ATL3331231120083837.935.53.751.152.0810.082523.122523.18824617145121455046

    ATL4291025100084809.0811.455.30.741.782523.122523.14122272865380395046

    ATL201372231180077839.0611.482.275.163.835.662523.122523.1122428135641102595046

    ATL2292325240096874.6414.183.663.911.3711.22523.122523.142811635588269525046

    ATL352752502608427.611.413.883.860.24.562523.122523.1-2081385797114325046

    ATL41211210010095146.64.332.890.144.042523.122523.1-2401479185225046

    ATL2112183140110010004.764.852.10.070.072523.122523.1-230014681205046

    ATL21312911101001002.557.360.90.2900.632523.122523.1-1202366107255046

    ATL3261225111092818.727.330.541.34.4592523.122523.111218183699385046

    ATL423922811100871.3610.411.53.350.753.372523.122523.1-20302291227325046

    10801087970999263351835381

    * - Actual Compared to Flight Plan (Average Minutes Difference)

    ** - Actual Compared to Unimpeded (Average Minutes Difference)

    ATL011324010100435.11.50.51.253

    ATL0200240000244.600037.5

    ATL03033400100753.334.60.250028.75

    ATL040012000100155.60000

    ATL1100340066757.334.9300.10.514.25

    ATL1200200000365.60000

    ATL130162001001008.165.60015

    ATL1400220050100415.60000

    ATL2100120010050105.600.5038

    ATL22000100000000018

    ATL2300100000195.60000

    ATL24001100100005.601017

    ATL3100000000000000

    ATL320013001003305.600.665.3327

    ATL330002000500001014.5

    ATL340102000500000013

    ATL41021500080501.600.208.6

    ATL42012100010033.51.60100

    ATL43001200100100300000

    ATL4421140010050900.50025.25

    ATL5109111001006301.60.720.523.4510.36

    ATL520435006680151.610.1644.4

    ATL530214001007501.600.250.2512.75

    ATL540101000100000050

    ATL61404110100004.3501122

    ATL621521640093753.562.600.8505.5

    ATL63101151006010010.62.570225

    ATL645107801718717.141.421.870.9702

    ATL221362232210184957.6213.11.142.812

    ATL22119172100761007.649.9124.131.191.33

    ATL332342400759110.755.472.291.761.453.41

    ATL41182170010010018.13.641.610.821.41

    ATL231334300256631.753.1900.56017

    ATL21241350092606.533.650.40.441423.4

    ATL32752460179669.296.051.160.131.6616.16

    ATL4104104011001001.55.810.25000

    Total1230122611531180273885887.157.943.961.591.15.24

    air-delays-qtr

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    Departures

    Facility Est.

    Model Est.

    Number of Departures

    SCHEDULED DEPARTURES AND CURRENT DEPARTURE RATE BOUNDARIES, OPTIMUM RATE CONDITIONS

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    Taxi Out

    Gate Delay

    Average Delay (Min.) per Departure

    TAXI-OUT AND GATE DELAY PER DEPARTURE, VISUAL METEOROLOGICAL CONDITIONS

    0

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    Excess departures

    Number of Flights

    CUMULATIVE DEPARTURES OVER OPTIMUM RATE, VISUAL METEOROLOGICAL CONDITIONS

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    Gate Delay

    Taxi-Out Delay

    Minutes of Delay

    DEPARTURE GATE AND TAXI-OUT DELAYS, VISUAL METEOROLOGICAL CONDITIONS

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    Arrivals

    Facility Est.

    Model Est.

    Number of Arrivals

    SCHEDULED ARRIVALS AND CURRENT ARRIVAL RATE BOUNDARIES, OPTIMUM RATE CONDITIONS

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    Airborne Delay

    Arrival Delay

    Minutes of Delay

    AIRBORNE AND ARRIVAL DELAYS, VISUAL METEOROLOGICAL CONDITIONS

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    Schedule

    Facility Est.

    Model Est.

    Number of Operations

    TOTAL SCHEDULED OPERATIONS AND CURRENT OPTIMUM RATE BOUNDARIES

  • Enplanement Capacity is More Important than Operational CapacitySmall aircraft make inefficient use of runway capacityseats/aircraftCumulative Seat Share vs. Cumulative Flight Share and Aircraft Size

    ATL total operations (OAG Summer 2000)

    Cumulative flight share

    Cumulative seat share

  • Excess Market Concentration May Lead to Inefficient Use of Scare ResourcesHHI is a Metric used to Measure Market ConcentrationHirschman-Herfindahl Index (HHI) is standard measure of market concentrationDepartment of Justice uses to measure the competition within a market placeHHI=(100*si)2 with si is market share of airline iRanging between 100 (perfect competitiveness) and 10000 (perfect monopoly)In a market place with an index over 1800, the market begins to demonstrate a lack of competition

  • History of US Demand Management- Limited #IFR slots during specific time periods- Negotiation-based allocation1968High-Density-RuleLGA Airport Slot Control

  • Demand Management ApproachesAdministrativenegotiation-based IATA biannual conferencesEconomicweight-based landing fee: no incentive for large aircraft inefficient Enplanement capacitytime-based congestion pricing: not reveal the true value of scarce resourcesDoT supervised Market-based Auctions of Arrival Metering-Fix Time SlotsHybrid

  • Auction Model Design Issues

    Feasibilitypackage slot allocation for arrival and/or departure slotspolitically acceptable pricesOptimalityefficiency: throughput (enplanement opportunity) and delayregulatory standards: safety, flight prioritiesequity: stability in scheduleairlines need to leverage investmentsairlines competitiveness : new-entrants vs. incumbentsFlexibilityprimary market at strategic level secondary market at tactical level

  • Design Approach

    Objective:Obtain Better Utilization of Nations Airport Network Infrastructure Network Load BalancingProvide an Optimum Fleet Mix at Safe Arrival CapacityEnsure Fair Market Access OpportunityIncrease Schedule Predictability - reduced queuing delaysAssumptionsAirlines will make optimum use of slots they licenseAuction rules: Bidders are ranked using a linear combination of: monetary offer (combination of A/C equipage credit and cash)flight OD pair (e.g. international agreements, etc.)throughput (aircraft size) ?airlines prior investment ?on-time performance ?

  • Strategic Auction Analytical ApproachNASAuction ModelAnalysis & FeedbackBidsSlotsAirlinesAuctioneersNetwork ModelAuctions only at Capacitated AirportsAuction Licenses good for 5 to 10 years

    1

    2

    3

    4

    5

  • Auction Model ProcessMore bids than capacityCall for bidsEnd auction processSubmit information and bidsYesNoAuctioneers actionAirlines actionSimultaneous bidding of 15-min intervalsDetermine factor weights, initial bids and incrementsSort the bids in decreasing ranksSequence flights for each intervalsLocal optimum fleet mix order: smalllarge 757heavy

  • Auctioneer ModelARR DEP Weight vector W = (w1 w2)T

    Rank of a bid vector : WPj

    C = (WTP1 WTPj WTPn)T

  • Atlantas VMC Auction ModelCapacity constraints for 15-min bins:

    (ARRX)i 25

    (DEPX)i 25max z = CTX s.t.AX bairlines combinatorial constraintsA = ARRDEP, b = 2525Let:

  • Airline Bidding ModelDetermine markets, legs, frequencies and departure timesFleet assignment : (aircraft type,leg)line-of-flying (LOF): sequence of legs to be flown by an aircraft in the course of its day Bidding is all about scheduling

  • Simple Flight Schedule ExampleDetermine markets, legs, frequencies and departure timesFleet assignment : (aircraft type,leg)line-of-flying (LOF): sequence of legs to be flown by an aircraft in the course of its day timeARR DEP 111111simple package biddingBidding is all about scheduling1,52,63,74,81,32,4BCDAEFDaily arrivals and departures at A of one LOF:

    Sheet1

    PackageP1PjPj+1Pn

    Time window

    i

    i+11

    i+21

    i+31

    96

    P1PjPj+1Pn

    1

    1

    i1

    i+11

    96

    PackageP1PjPj+1Pn

    Time window

    11

    i11

    i+11

    96

    PackageP1PjPj+1Pn

    Time window

    i

    i+11

    i+21

    i+31

    961

    Sheet2

    Sheet3

  • Schedule Banking ConstraintsDetermine markets, legs, frequencies and departure timesFleet assignment : (aircraft type,leg)line-of-flying (LOF): sequence of legs to be flown by an aircraft in the course of its day timeARR DEP 111111complex package biddingBidding is all about scheduling1,52,63,74,81,32,4BCDAEFDaily arrivals and departures at A of one LOF:

    Sheet1

    PackageP1PjPj+1Pn

    Time window

    i

    i+11

    i+21

    i+31

    96

    P1PjPj+1Pn

    1

    1

    i1

    i+11

    96

    PackageP1PjPj+1Pn

    Time window

    11

    i11

    i+11

    96

    PackageP1PjPj+1Pn

    Time window

    i

    i+11

    i+21

    i+31

    961

    Sheet2

    Sheet3

  • Assume the Airlines have a Near Optimal Schedule and Try to Maintain in Auction

    Airlines elasticity for changing schedule

    original scheduled 15-min interval15min15minbids withdrawnbids withdrawn Airlines bid reasonably and homogeneously by setting an upper bid threshold proportional to #seats (revenue)

    No fleet mix change

  • Airline Agent Tries to Maximize ProfitObjective function: Maximize revenue and ultimately maximize profitMaximise Airlines package bidding constraintsTo bid or not to bidUpper bound for bidsLower bound for bidsMbig positive valueysbinary value

    BoT airport threshold vector airline threshold fractionBs old bid for slot s in previous roundif airline bids for slot sotherwise{Bs} set of monetary bids{Ps} airline expected profit by using a slotVariables:

  • Network Model used to Evaluate Auction Effectivenessdeparture separationarrival separationRunway capacity determined by Wake Vortex Separation Standards (nmiles/seconds) (M. Hanson) and a scale factor to account for runway dependency

    Sheet1

    Trailing aircraftSmallLargeB757Heavy

    Leading aircraft

    Small2.5/802.5/682.5/662.5/64

    Large4/1642.5/732.5/662.5/64

    B7575/2014/1154/1024/101

    Heavy6/2395/1485/1364/104

    Sheet2

    Sheet3

  • Simulation scenariosAssumptions:Aircraft can arrive within allocated slots with Required Time-of-Arrival errors of 20 seconds (using Aircraft RTA Capabilities)Auction items: Metering Fix Arrival SlotsNo combinatorial package biddingBid values and minimum increments are relative to the value of initial bidInput: Summer 2000 OAG schedule of arrivals to ATL (1160 flights)Scenario 1 (Baseline):OAG scheduleScenario 2 (Simple auction):Monetary Offer is the only determining factorAuction-produced schedule

  • Traffic levels and estimated queuing delays during VMC

  • Results : Flight Deviationsmin15-min max allowed 30-min max allowed45-min max allowed Bell-shaped curves are consistent to the model assumption about airline bidding behavior Curves are skewed to the right due to optimum sequencing that shifts aircraft toward the end of 15-min intervals~70%

  • Results : Auction metrics

  • Observations on Research to Date

    Simple Auctions could Exclude small airlines and/or small markets from Hub AirportsSimple Bidding Rules can Prevent this ProblemNumber of flights to be rerouted is comparable to the number of cancelled flightsCombinatorial Clock Auctions Offer a Promising Market-Based approach to Demand ManagementAuction Proceeds could be used as Incentives to the Airports for Infrastructure Investments and to the Airlines for Avionics Investments

  • Airlines Could bid with Avionics Investment Promissory NotesIncreased Hub airport capacity is Dependent on Aircraft being able to maintain Accurate Time-Based Separation (ROT and WV safety constraints)Data Links, ADS-B, FMS-RTA and New Operational Procedures will be requiredAirlines could Bid with Script that constituted a contract to equip their Aircraft with-in X years (i.e. bid price)Cash Bids could be used to replace PFCs and go directly to the Capacitated Airports Infrastructure Investment Accounts

  • Future work

    More airline and airport inputsExperimental auction Participation

    Include Efficiency Rules

    Include combinatorial bidding

    Include pricing

    Conduct experimental auctions

  • Backup

  • Observed Runway IncursionsOne formal simultaneous runway occupancySeveral near simultaneous runway occupanciesOut of 364 valid data points-14 sec

    When

    Where

    Leader\Exit_time

    Trailer\Thr_time

    5,Mar,2002

    ATL 26L

    Large\8:22:06

    Large\8:22:06

    5,Mar,2002

    ATL 26L

    Large\8:22:50

    Large\8:22:50

    5,Mar,2002

    ATL 26L

    Small\9:05:32

    Large\9:05:30

    5,Mar,2002

    ATL 26L

    Large\1:16:04

    Large\1:16:04

    6,Mar,2002

    ATL 26L

    Large\2:43:32

    Heavy\2:43:32

    6,Mar,2002

    ATL 26L

    B757\8:35:06

    Large\8:35:06

    When

    Where

    Leader\Exit_time

    Trailer\Thr_time

    5,Mar,2002

    ATL 26L

    Large\8:27:31

    B757\8:27:17

  • ATL and LGA Aircraft Inter-arrival Times

  • LGA Arrival Histograms Normalized by Arrival RateDisplaying Positive or Negative Deviation from WVSS AdherencePerfect WVSS Adherence = 0

  • ATL Arrival Histograms RW 27 Normalized by Arrival RateDisplaying Positive or Negative Deviation from WVSS AdherencePerfect WVSS Adherence Value = 0

  • ATL Arrival Histograms RW 26 Normalized by Arrival RateDisplaying Positive or Negative Deviation from WVSS AdherencePerfect WVSS Adherence Value = 0

  • Aircraft Wake Vortex Separation Violations : LGA & BWIPerfect WVSS Adherence Value = 0

  • FAA Barriers to ChangeFAA has an Operational and Regulatory CultureInclination to follow training that has seemed to be Safe in the PastFAR has NOT Changed to Provide Operational Benefits from Introduction of New TechnologyAssumption that Aircraft Equipage would be Benefits Driven did not account for Lack of an ECONOMIC and/or SAFETY Bootstrapping Requirement

  • FAA Investment Analysis Primarily focus on Capacity and DelayOMB requirement to have a B/C ratio > 1 leads to a modernization emphasis on Decreasing DelayIn an Asynchronous Transportation Network operating near its capacity margin, Delay is InevitableDelay Costs Airlines Money and is an Annoyance to Passengers BUTis Usually Politically and Socially Acceptable

  • Hypothesis: Most Major Changes to the NAS have been due to Safety Concerns1960s Mandated Introduction of Radar Separation1970s Decrease in Oceanic Separation Standards Required a Landmark Safety Analysis1970s Required A/C Transponder Equipage1970s Required A/C Ground Proximity Equipage1990s Required A/C TCAS Equipage1990s Required A/C Enhanced Ground Prox. Equipage1990s TDWR & ITWS Introduction1990s Mandated Development of GPS/WAAS

    This is an example of Demand exceeding capacity at La Guardia Airport during two different days .The red line is the capacity level at the airport and as you can see, several times this number was exceeded. This is just one airport but we can see the same type of behavior at several airports in the United States.Asynchronous scheduling due to uncontrolled flight scheduling by market-driven airlines that have to accommodate passenger preferences, and hub system complications.Queuing delay induces operational cost to airlines, making the system non cost-effective that the end users will pay for that finallySafety violation is big concern of everyone, among that FAA is hold responsibleUnderutilization of scarce resource : regional community and airport authority are not happy in not making the most of their assets

    No body is happy

    This is an example of Demand exceeding capacity at La Guardia Airport during two different days .The red line is the capacity level at the airport and as you can see, several times this number was exceeded. This is just one airport but we can see the same type of behavior at several airports in the United States.Asynchronous scheduling due to uncontrolled flight scheduling by market-driven airlines that have to accommodate passenger preferences, and hub system complications.Queuing delay induces operational cost to airlines, making the system non cost-effective that the end users will pay for that finallySafety violation is big concern of everyone, among that FAA is hold responsibleUnderutilization of scarce resource : regional community and airport authority are not happy in not making the most of their assets

    No body is happy

    This is an example of Demand exceeding capacity at La Guardia Airport during two different days .The red line is the capacity level at the airport and as you can see, several times this number was exceeded. This is just one airport but we can see the same type of behavior at several airports in the United States.Asynchronous scheduling due to uncontrolled flight scheduling by market-driven airlines that have to accommodate passenger preferences, and hub system complications.Queuing delay induces operational cost to airlines, making the system non cost-effective that the end users will pay for that finallySafety violation is big concern of everyone, among that FAA is hold responsibleUnderutilization of scarce resource : regional community and airport authority are not happy in not making the most of their assets

    No body is happy

    Large aircraft having more than 210 seats (747, 777, L10) make up only a very small fraction in ATLs fleet mix, in terms of seat share (4%) as well as flight share (1.7%). 75.1% of the flights have from 97 up to 210 seats (767, 757, M80, 72S, D9S), and represent 87.7% of the total seats. Finally, 21.7% of the flights have less than 70 seats (AT7, CRJ, EM2) and only provide the remaining 8.3 % of the total seats, and the cargo flights occupy 1.5% of the slots.

    The OAG of summer 2000 is later used to simulate auction approach.Airlines have guarantee in developing their network and long-term business plansGrandfather rights used in Europe mandate that only if air carriers can demonstrate that they have operated their slots at least 80% of the time for the current allocation period, they can be entitled to the same series of slot for the next allocation period.

    Sequence of legs to be flown by an aircraft in the course of its daySequence of legs to be flown by an aircraft in the course of its daySequence of legs to be flown by an aircraft in the course of its daySince its hard to know connecting flights dependency and therefore all the combinations of slots an airline can bid, we assume a hypothetical value of airline elasticity which represents the flexibility of shifting flights backward and forward of an airline. Airlines are therefore assumed to maintain their current schedules.Please read the section Result and Interpretation in the paper.Here we included the cases when the trailer touched down at the same time when the leader exit a runway. We see that the large aircraft have a big proportion in the aircraft involved in simultaneous runway occupancy.