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    Demand and Revenue Management

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    Flow of Presentation Revenuw

    2

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    Revenue Management What is Revenue Management

    Why do Revenue Management

    Pricing Optimization

    Demand Modeling and Forecasting

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    What is Revenue Management Management of inventory, distribution channels

    and prices to maximize profit over the long run

    Selling the right product to the right customer atthe right time at the right price

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    What is Revenue Management Revenue Management involves the

    following activities

    Demand data collection

    Demand modeling

    Demand forecasting

    Pricing optimization System implementation and distribution

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    What is Revenue Management Airline industry

    How many seats to make available at each of the listed

    fares, depending on the OD pair, time of year, time ofweek, remaining seats available, remaining time until

    departure

    What contracts and prices to provide to corporations

    How many seats to make available to consolidators andtravel agents (if at all), and at what prices

    How much capacity to make available to cargo shippers

    and freight forwarders, and at what prices

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    What is Revenue Management Hotel industry

    How much to charge for a room depending on

    the location, type of room, time of year, time ofweek, duration of stay

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    What is Revenue Management Ocean cargo industry

    Which types of contracts to enter into with

    shippers

    How much capacity to commit to each shipper

    Which contract prices to have for each shipper

    How to vary prices as a function of direction oftrade, commodity, and time of year

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    What is Revenue Management Car rental industry

    How much to charge for a rental car depending

    on the class of car, time of year, time of week,duration of rent

    Restaurant industry

    How much to charge for lunch vs dinner

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    What is Revenue Management Manufacturing industry

    Make-to-stock: dynamic pricing of inventory

    Make-to-order: dynamic pricing of orders, howmuch discount to give for orders in advance

    Make-to-stock and make-to-order: prices of

    advance orders vs prices of inventory

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    What is Revenue Management Retail industry

    Example: fashion apparel industry

    Products in fashion for a single season

    Retailer wants to sell available inventory for

    maximum profit

    Prices higher at start of season Retailer has to decide when to mark prices

    down, and by how much

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    What is Revenue Management Entertainment ticket pricing

    Example: opera houses let their ticket pricesdepend on The performance

    The reviews received so far

    Location of seat in opera house

    Day of the week of the performance

    Time of the day of the performance

    Time of performance in the season

    Remaining time until the performance

    Number of remaining seats available

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    What is Revenue Management Golf courses

    Variable pricing: Choose prices to vary by

    time of day day of week

    season of year

    Round duration control

    control tee-time interval control uncertainty in arrival time

    control uncertainty in duration

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    Hospital Contract Case Study Major customers of hospitals

    Insurance companies

    Medicare Medicaid

    Individuals

    Hospital contracts with major customers

    Discount-off-listed-charges contracts Per-diem contracts

    Case-rate contracts

    Capitation contracts

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    Hospital Contract Case Study Example of setting per-diem rates

    ICU Patient Length of Stay

    0%

    2%

    4%

    6%

    8%

    10%

    12%

    14%

    16%

    1 2 3 4 5 6 7 8 9 10 11 12 13 14

    Number of Days

    %o

    fP

    atients

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    Hospital Contract Case Study Example of setting per-diem rates

    Observe that most patients stay for only a few

    days, although a few patients make the averagelength of stay quite high

    Stratified per-diem rates Charge more per day to patients who stay for only a

    few days Results

    Higher average revenue

    Lower standard deviation of revenue

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    Hospital Contract Case Study Higher average revenue clearly beneficial to

    the hospital

    Lower standard deviation of revenue

    Beneficial to the hospital?

    Yes. More predictable revenue

    Beneficial to the insurance company? Yes. More predictable costs

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    What is Revenue Management Overbooking may be part of revenue management

    Overbooking important practice in many

    industries that use reservations, and wherecancellations or no-shows may occur airlines

    hotels

    car rental cruise lines

    restaurants

    contractors (construction etc)

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    What is Revenue Management Overbooking

    Important trade-off between opportunity cost of unused

    resources if cancellations or no-shows cause resourcesto be wasted, and cost of oversales

    In 1960s, Simon and Vickrey proposed the use of

    auctions to allocate airline seats in case of oversales

    Airlines rejected idea for many years Nowadays, reverse Dutch auctions are widely used to

    allocate airline seats in case of oversales, and seem to

    be widely accepted

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    What is Revenue Management Dynamic pricing and the bullwhip effect

    Dynamic pricing can increase demand

    variability The case of Campbell Soup

    Wild swings in demand and in shipments of chickennoodle soup from the manufacturer to distributors

    and retail stores Increase in production, storage and logistics costs

    Frequent stockouts resulting in lost sales

    The culprit: Trade promotions!

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    What is Revenue Management Dynamic pricing and the bullwhip effect

    Dynamic pricing can be used to decrease demand

    variability Peak load pricing: lower prices during off-peak times,

    higher prices during peak times

    Airlines

    Hotels Golf courses

    Electricity wholesale market

    Oil/gasoline?

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    Price Discrimination Revenue Management may involve price

    discrimination, but it does not have to

    P=130-QUnit cost = 10Firms profitsunder single price:

    (130-Q-10)QP

    q

    MC=10

    130

    130

    60

    70

    Consumer surplus=1800

    Deadweight loss=1800

    Firm profits=3600

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    Price Discrimination (continued)P=130-QUnit cost = 10What if the firm

    could segmentthe market andcharge twodifferent prices?

    P

    q

    MC=10

    130

    130

    80

    90

    Consumer surplus=1600

    Deadweight loss=800

    Firm profits=4800

    50

    40

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    Price Discrimination (continued)

    P

    q

    MC=10

    130

    130

    80

    110 Consumer surplus=1000

    Deadweight loss=200

    Firm profits=6000

    90

    40

    70

    50

    30

    20 60 100

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    Price Discrimination (continued)Perfect pricediscrimination

    P

    q

    MC=10

    130

    130

    Consumer surplus=0

    Deadweight loss=0

    Firm profits=7200

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    What is Revenue Management The same product sold at different times for different

    prices is not necessarily price discrimination, because atdifferent times...

    the production or distribution costs may be different inventory costs were incurred to keep the product in stock until a

    later time

    the product value may change over time, such as perishable ormaturing or seasonal products, fashion goods, antiques.

    the remaining inventory may be different interest is earned if product is sold at an earlier time

    consumers value products differently at different points in time

    locking sales in early reduces uncertainty

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    What is Revenue Management It is not spam

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    Fairness and Legal Issues Depending on the industry, there may be legal

    obstacles to revenue management

    Examples Regulated prices of utilities (this is changing)

    Prices in airline industry were regulated until 1978 -price and quantity changes had to be approved by CAB

    Pricing in ocean cargo industry was regulated until1999 - carriers had to provide all shippers with thesame essential contract terms

    Spot market pricing in ocean cargo industry is stillregulated - 30 days notice required for price increases

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    Fairness and Legal Issues Golf course examples

    Kimes and Wirtz survey results (1 = extremely

    fair, 7 = extremely unfair) Time-of-day pricing: 3.41

    Varying price (for example, as function of bookingson hand): 6.16

    Two-for-one coupons for off-peak use: 1.80 Time-of-booking pricing: 5.12

    Reservation fee/Charge for no-shows: 3.19

    Tee-time interval pricing: 3.95

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    Fairness and Legal Issues Amazon.com example

    Fall 2000, Amazon conducted experiment to try todetermine price sensitivity of demand for DVDs

    Discounts between 20% and 40% offered randomly

    Customers who visited amazon.com multiple timesnoticed changing prices

    Furious response by customers and press, suspecting

    Amazon varied price by demographics Why are varying airline prices accepted by most, and

    not varying DVD prices?

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    Why do Revenue Management Success stories

    American Airlines increased annual revenue with $500

    million through revenue management Delta Airlines increased annual revenue with $300

    million through revenue management

    Marriott hotels increased annual revenue with $100

    million through revenue management National Car Rental was saved from liquidation with

    revenue management

    Canadian Broadcasting Corporation increased revenue

    with $1 million per week

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    Why do Revenue Management Increasing competition

    Fewer restriction on international trade

    More efficient international transportation

    Low cost foreign competitors

    Competitors use revenue management

    Use revenue management to stay on top

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    Why do Revenue Management

    At many companies, little cost-cutting juice can easily beextracted from operations. Pricing is therefore one of the fewuntapped levers to boost earnings, and companies that startnow will be in a good position to profit fully from the next

    upturn. McKinsey Quarterly, 2003

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    Revenue Management Optimization Control Methods

    Resource Bucket Control Methods

    Bid Price Control Methods

    Dynamic Programming

    Software

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    Revenue Management Optimization Control Methods/Optimization Methods

    Static Dynamic

    Deterministic

    StochasticLeg Based

    OD based

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    Revenue Management Optimization Resource Bucket Control Methods

    If supply of different products are related, for exampleif different products use shared resources or capacity,

    then revenue management should not be doneseparately for the different products

    Also if demand for products are related, for examplecomplementary goods or substitutes

    Examples Airlines: Itineraries with different origin-destination

    pairs share the same flight legs (resource)

    Hotels and rental cars: Multiple day bookings sharecapacity

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    Revenue Management Optimization Bid price methods

    Simple single-stage deterministic LP model

    Input: Lines of flight (LOF)

    The flights (legs/segments) each LOF traverses (flight-LOFincidence matrix A)

    Fares f1,f2,,fkfor each LOF

    Demand Dj for each LOF-fare combination j (not well-definednotion)

    Capacity Qi of each flight (leg/segment) i

    Primal decision variables: xj = number of seats allocated to LOF-fare combination j

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    Revenue Management Optimization Dynamic programming

    State of process: current bookings/seats available for each flight,competitor information

    Transitions: take place through bookings and cancellations

    Decisions: which prices/fares are quoted when booking requestsare received

    Policy: decision for each state x and time t

    Objective: determine optimal policy

    Value function: expected value V(x,t) as function of state x and

    time t Solving problem involves computing optimal value function

    V*(x,t)

    Another benefit: Optimal policy very simple:

    accept booking request if fare > V*(x,t) - V*(x-1,t)

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    Revenue Management Optimization Optimization Software Surveys

    Fourer, R., Linear Programming, OR/MS Today, volume 32,number 3, pp. 46-55, June 2005,.

    Nash, S. G., Nonlinear Programming, OR/MS Today, volume 25,number 3, pp. 36-45, June 1998,.

    Grossman, T.A., Spreadsheet Add-Ins for OR/MS, OR/MSToday, volume 29, number 4, pp. 46-51, August 2002,.

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    Revenue Management Optimization Decision Support Software Surveys

    Aksoy, Y. and Derbez, A., Software Survey: Supply Chain Management, OR/MSToday, volume 30, number 3, pp. 34-41, June 2003,.

    Buede, D., Decision Analysis Software Survey: Aiding Insight IV, OR/MS Today,

    volume 25, number 4, pp. 56-64, August 1998.

    Hall, R., Vehicle Routing Software Survey: On the Road to Recovery, OR/MSToday, volume 31, number 3, pp. 40-49, June 2004,.

    Maxwell, D.T., Decision Analysis: Aiding Insight VII, OR/MS Today, volume 31,number 5, pp. 44-55, October 2004, .

    Swain, J. J., 'Gaming' Reality: Biennial survey of discrete-event simulationsoftware tools, OR/MS Today, volume 32, number 6, pp. 44-55, December 2005,.

    Swain, J. J., Power Tools for Visualization and Decision-Making, OR/MS Today,volume 28, number 1, pp. 52-53, February 2001.

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    Demand Forecasting The first law of forecasting: The

    forecast is always wrong

    Sources of forecast error: Modeling error

    Parameter error

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    Demand Forecasting Modeling error

    The basic form of the demand model is wrong

    Example Suppose we want to forecast demand d as a function of

    price p

    The true demand function is d = exp(3-2p) / (1 + exp(3-2p))

    We try to estimate a linear demand model d = a bp,with parameters a and b that are estimated with data

    No matter what values we estimate for a and b, theestimated model is wrong modeling error

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    Demand Forecasting Parameter error

    The basic form of the demand model is correct,but we do not know the correct values of the

    parameters Example

    The true demand function is d = exp(3-2p) / (1 + exp(3-2p))

    We try to estimate a demand model d = exp(a-bp) / (1+ exp(a-bp)), with parameters a and b that areestimated with data

    If we estimate a=3 and b=2 (for example, with gooddata and a good statistical technique), then theestimated model is correct

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    It is very important to understand and model

    customer behavior accurately

    Incorrect models of customer behavior canlead not only to suboptimal prices, but can

    lead to the systematic deterioration of

    models, prices, and profits over timethespiral-down effect

    Demand Modeling

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    Spiral-down effect in airline revenue management

    For many years, airlines have used following simple

    model of customer behavior

    Some time before departure, customer requests a ticket in a

    particular fare class

    Airline accepts or rejects the request

    Above model describes the way airline reservations

    systems work

    However, it does not accurately describe the way

    customers behave

    Demand Modeling

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    Spiral-down effect in airline revenue

    management

    Low fare tickets and high fare tickets

    Airlines set aside chosen number of seats for

    high fare tickets

    Airlines use observed sales to estimate thesupposed demand for high fare tickets

    Demand Modeling

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    Spiral-down effect in airline revenue management Spiral-down effect:

    Airline allows some low fare sales

    Some flexible customers (not modeled by the airlines) willingto buy high fare if that is the only option, now buy low faretickets

    Airlines observe more low fare sales and less high fare salesdecrease their estimate of high fare demand

    Airlines set aside fewer seats for high fare tickets, and allowmore low fare sales

    More customers buy low fare tickets, and the spiral downcontinues

    Spiral-down effect is the consequence of an incorrect

    model of customer behavior

    Demand Modeling

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    Forecasting methods

    Judgmental methods

    Statistical forecasting methods

    Demand Forecasting

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    Judgmental forecasting methods

    Expert opinion

    Questionable: See the articles Armstrong, J.S., How Expert Are the Experts?,

    Inc, pp.15-16, 1981

    Armstrong, J.S., The Seer-Sucker Theory: The

    Value of Experts in Forecasting, Technology

    Review, pp.16-24, 1980

    Consensus methods, such as Delphi technique

    Demand Forecasting

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    Statistical forecasting methods Non-causal methods

    Exponential smoothing

    Time series methods

    Causal methods Linear regression

    Nonlinear regression

    Discrete choice models (logit, probit, etc) Whatever the method, the basic approach is to find

    systematic behavior in data that one has reason tobelieve will continue in the future

    Demand Forecasting

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    Revenue Management Implementation Business case: assessment of

    Revenue opportunity

    Development and support personnel needs

    Development cost

    Maintenance cost

    Hardware

    Software DBMS

    Forecasting

    Optimization

    Interfaces

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    Revenue Management Implementation Distribution system

    Communication network hardware

    Interfaces with revenue managers Interfaces with customers

    Management of customer awareness

    and customer perceptions Management of organizational change

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    THANK YOU