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Airline planing and marketing

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    Optimization inAirline Planning and

    Marketing

    Institute for Mathematics and ItsApplications

    November 2002

    Barry C. Smith

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    2

    Overview

    Airline Planning and Marketing

    Landscape

    Applications of Optimization Modeling

    Planning and Marketing Integration

    Unsolved and Under-solved Problems

    Future Outlook

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    Airlines Make Money Only When TheyMatch Supply and Demand

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    Major US domestic carriers: Operate 5000 flights per day Serve over 10,000 markets Offer over 4,000,000 fares

    Schedules change twice each week

    On a typical day, a major carrier will change100,000 fares

    Airlines offer their products for sale more than one year inadvance

    The total number of products requiring definition and control isapproximately 500,000,000

    This number is increasing due to the proliferation of distributionchannels and customer-specific controls

    The Problem is Large and Dynamic

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    Enterprise Planning Product Planning

    Tactics and

    Operations

    Effective Planning and Marketing is aContinuous Process

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    DecisionsDecisions

    There Should be Continuity

    Route StructureRoute Structure FleetFleet MaintenanceMaintenance

    BasesBases

    Crew BasesCrew Bases FacilitiesFacilities

    ScheduleSchedule Fleet AssignmentFleet Assignment Pricing PoliciesPricing Policies

    PricePrice RestrictionsRestrictions AvailabilityAvailability

    TimeTimeHorizonHorizon

    18 Months +18 Months + 18 Months 18 Months 1 Months1 Months

    3 months 3 months DepartureDeparture

    ObjectiveObjective Maximize NPVMaximize NPVof Future Profitsof Future Profits

    Maximize NPVMaximize NPVof Future Profitsof Future Profits

    Maximize NPVMaximize NPVof Future Profitsof Future Profits

    ConstraintsConstraints FinancialFinancialResourcesResources

    RegulationRegulation

    Route StructureRoute Structure FleetFleet MaintenanceMaintenance Crew BasesCrew Bases FacilitiesFacilities

    ScheduleSchedule Pricing PoliciesPricing Policies

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    Significant Optimization Applications

    Tactics and OperationsYield Management

    Product Planning

    Fleet Assignment

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    Yield Management Objectives

    Sell the right seat

    To the right passenger

    At the right price

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    YM is Essential to Airline Profitability

    Annual benefit of Yield Management to amajor airlines is 3% 6% of total revenue

    A major airlines revenue benefits from yieldmanagement exceed $500,000,000 per year

    Applying this rate to the industry ($300billion/year) yields potential benefits of $15billion per year

    The possibilities for even the most

    sophisticated carriers go well beyond what isachieved today

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    YM Controls

    Overbooking

    Revenue Mix

    Discount allocation

    Traffic flow

    Groups

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    Yield Management Evolution

    High Value Low Value

    1970s:ClassCode

    Rev +4%3 MM

    1960s:

    Overbooking

    Revenue+2%,300k

    Full Fare

    DeepDiscount

    Value of Last Seat

    Class

    Code

    Origin-Destination Market

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    Revenue Mix Problem Flight Leg

    Stop selling Current (low-value) products when:

    Profit (Current) < Profit (high-value) * P (Sell out)

    Sell to Current Customer

    Hold for

    Higher-ValueCustomer

    Sell outHigh-Value Profit

    Unsold Product

    Current Profit

    $0

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    Yield Management Evolution

    High Value Low Value

    1970s:ClassCode

    Rev +4%3 MM

    1980s:ODRev +5%

    30 MM

    1960s:

    Overbooking

    Revenue+2%,300k

    Full Fare

    DeepDiscount

    Value of Last Seat

    Class

    Code

    Origin-Destination Market

    1990s: BidPrice

    Rev +6%

    1 MM

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    Revenue Mix Problem Network

    0

    ),(

    :Subject to

    Re*Max

    =

    sAllocation

    CapacityPax

    DemandAllocationfPax

    vPax

    ODF

    FlightODF

    ODFODFODF

    ODF

    ODFODF

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    Passengers = f (Allocation, Demand)

    = 0

    > 0

    Mean Demand

    Pass

    enger

    sCarried

    Allocation

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    Revenue Mix Approaches

    Deterministic Leg Allocations (wrong)

    Stochastic LegAllocations (BA, MIT)

    Deterministic Network Allocations (wrong)

    Stochastic Network Bid Price (AA)

    Deterministic Network

    EMSR

    VN Allocations (MIT)

    Stochastic NetworkADP on Leg Bid price(Columbia)

    ADP on Network Real-time evaluation (GIT)

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    2000s:Mult.

    Channels

    CRM

    Yield Management Evolution

    High Value Low Value

    1970s:ClassCode

    Rev +4%3 MM

    1980s:ODRev +5%

    30 MM

    1960s:

    Overbooking

    Revenue+2%,300k

    Full Fare

    DeepDiscount

    Value of Last Seat

    Class

    Code

    Origin-Destination Market

    1990s: BidPrice

    Rev +6%

    1 MM

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    Fleet Assignment FAM

    Fleet Assignment Models (FAM) assign aircraft types to anairline timetable in order to maximize profit

    FAM is widely used in the airline industry AA and DL have reported 1% profit margin improvements

    from FAM

    Given a flight schedule and available fleet of aircraft,FAM maximizes operating profit subject to the followingphysical and operational constraints: Cover: Each flight in the schedule must be assigned

    exactly one aircraft type

    Plane Count: The total number of aircraft assignedcannot exceed the number available in the fleet Balance: Aircraft cannot appear or disappear from

    the network

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    Basic FAM Formulation

    0}1,0{

    )(,,

    0

    1

    )(

    ,,,

    , ,

    ,,,,,1,

    ,0,

    ,

    ,,,

    =+

    =

    staaf

    s

    tsArrivalf

    tsDeparturef

    staafafsta

    Stationssasa

    Aircrafta

    af

    afAircrafta Flightsf

    afaf

    yx

    circularTimestStationssAircrafta

    yxxy

    AircraftaPCy

    Flightsfx

    toSubject

    CRxMax

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    FAM Extensions

    Time windows (US, MIT) Integration

    Routing (UPF, MIT, GIT)

    Crew (Gerad) Yield Management (MIT, LIS, Sabre, GIT)

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    Leg Revenue Modeling Approaches

    Average passenger fare: Inconsistent with yieldmanagement practices. As capacity is added,incremental passengers have lower average revenue.

    Leg revenue: Modeling passenger revenue on a flightas a function only of capacity on this flight assumes

    that there is no upline or downline spill These assumptions create inconsistencies with

    subsequent airline marketing processes, in particularO&D yield management, and tend to bias FAMsolutions to over-use of large aircraft

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    Improving Revenue Modeling in FAM

    Allocations For each flight leg allocate space to each passenger path

    Piecewise linear approximation for traffic/revenue oneach path

    Solve the OD YM model inside of FAM

    Model size explodes -- There are 150,000-500,000passenger paths in a typical problem for a major carrier

    Decomposition

    Solve yield management model outside of FAM

    Incorporate model results into FAM

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    Integration of FAM and YM

    FAM

    Capacity

    YM

    CapacityBid Price

    Revenue Function Approximation:

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    Revenue Function Approximation:One Leg, One Cut

    Revenue

    ($US)

    Leg Capacity (No. of Seats)

    Bidprice, ($/seat)

    CAPj

    R0

    R0 f fC A Pf R C A Pf

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    OD FAM Master

    CutsODi

    :andBalance,Count,PlaneCover,

    ,0

    ,,

    +

    Flights f Aircraft aTotalafa

    if

    i

    afAircrafta Flightsf

    afTotal

    RxCapR

    toSubject

    CxRMax

    Revenue Function Approximation:

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    Revenue Function Approximation:One Leg, Multiple Cuts

    Revenue

    ($US)

    Leg Capacity (No. of Seats)CAPj

    R0

    )(*0 fffi

    fi

    CAPRCAPR +

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    Planning and Marketing Integration

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    Enterprise PlanningEnterprise Planning Product PlanningProduct Planning

    Tactics andTactics and

    OperationsOperations

    Ideal Planning

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    Planning & Scheduling

    Pricing

    Yield Management

    Distribution

    Customers

    Planning Reality

    Sales

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    Airline Pricing

    Simple Concepts Relatively fixed seat

    capacity

    High fixed costs

    Combination of elastic andinelastic market segments

    Complex Reality Oligopoly market behavior

    Multi-period repeated trial

    Strategy is generallydominated by mechanics(tactics)

    The pricing process is oftenunclear to airline executives

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    On Tariff -- GDS

    AL.com

    Distressed Inventory

    TA.com

    Res Office

    FFP Burn/Earn

    CorporateTour/Cruise/Cons

    Partners

    Sales and Distribution:Multi-channel

    Airline

    Capacity

    Forecast of

    Demand and

    Free Market

    Value

    Customers

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    Planning & Scheduling

    Pricing

    Yield Management

    Distribution

    Customers

    Bid Prices Support Integration

    Sales

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    Unsolved and Under-solved Problems

    Opportunities Enterprise Planning

    Facilities Manpower Fleet

    Longitudinal Planning Alliance Optimization

    Customer RelationshipManagement

    Robust Planning Demand Operations Competition

    Support for Labor Negotiations

    Supporting Models Customer Behavior

    Modeling

    Simulation

    Airline

    Alliance

    Industry

    Scenario Analysis

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    The Evolving Environment

    Distant Past: Airlines initiated development of optimization-based systems

    Recent Past: Following deregulation of the US domestic industry, airlinessupported technology development

    Technical leadership shifted from airlines to academics, consultants andsoftware providers

    Current: The current market conditions have reduced the ability of major UScarriers to support significant new development

    Future: The marketplace for new optimization applications will bedominated by the requirements of the emerging carriers low-cost,alternative business models

    Simple

    Flexible

    Developed outside of the carrier

    Operated outside of the carrier

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    Optimization inAirline Planning and

    Marketing

    Institute for Mathematics and ItsApplications

    November 2002Barry C. Smith